Range - ISEE Upper Level: Quantitative Reasoning

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Question

Consider the set of numbers: $\left \{ 2,4,5,5,6,6,6,10,12\right \}$

Quantity A: The sum of the median and mode of the set

Quantity B: The range of the set

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Answer

Quantity A: The median (middle number) is , and the mode (most common number) is , so the sum of the two numbers is .

Quantity B: The range is the smallest number subtracted from the largest number, which is .

Quantity A is larger.

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Question

In the following set of data compare the mode and the range:

$\left \{ 1,1,1,2,2,2,2,3,3\right \}$

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Answer

The mode of a set of data is the value which occurs most frequently which is in this problem.

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=3-1=2$

So the range is equal to the mode.

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Question

Consider the following set of data:

$\left \{ 2,4,4,5,6,10 \right \}$

Compare and .

: The sum of the median and the mean of the set

: The range of the set

Tap to reveal answer

Answer

The mean of a set of data is given by the sum of the data, divided by the total number of values in the set. So we can write:

$Mean = \frac{2+4+4+5+6+10}{6}=\frac{31}{6}\approx 5.17$

The median is the average of the two middle values of a set of data with an even number of values. So we have:

$Median=\frac{4+5}{2}=4.5$

So we have:

$Median+Mean\approx 4.5+5.17\approx 9.67$

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=10-2=8$

Therefore is greater than .

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Question

In the following set of data compare the median and the range:

$\left \{ 2,4,7,8\right \}$

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Answer

The median is the average of the two middle values of a set of data with an even number of values. So we have:

$Median=\frac{4+7}{2}=5.5$

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=8-2=6$

So the range is greater than the median.

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Question

In the following set of data compare the mean and the range:

$\left \{ 4,3,8,8\right \}$

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Answer

The mean of a set of data is given by the sum of the data, divided by the total number of values in the set. So we can write:

$Mean = \frac{4+3+8+8}{4}=\frac{23}{4}=5.75$

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=8-3=5$

So the mean is greater than the range.

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Question

In the following set of data compare the mode and the range:

$\left \{ 1,1,1,2,2,2,2,3,3\right \}$

Tap to reveal answer

Answer

The mode of a set of data is the value which occurs most frequently which is in this problem.

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=3-1=2$

So the range is equal to the mode.

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Question

Consider the following set of scores from a math test. Give the range of the data.

$\left \{ 88,72,61,84,77,79,93 \right \}$

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Answer

The range is a measure of spread. It is the difference between the largest and the smallest data values. So we get:

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Question

Consider the following set of data:

$\left \{ 2,4,4,5,6,10 \right \}$

Compare and .

: The sum of the median and the mean of the set

: The range of the set

Tap to reveal answer

Answer

The mean of a set of data is given by the sum of the data, divided by the total number of values in the set. So we can write:

$Mean = \frac{2+4+4+5+6+10}{6}=\frac{31}{6}\approx 5.17$

The median is the average of the two middle values of a set of data with an even number of values. So we have:

$Median=\frac{4+5}{2}=4.5$

So we have:

$Median+Mean\approx 4.5+5.17\approx 9.67$

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=10-2=8$

Therefore is greater than .

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Question

In the following set of data compare the median and the range:

$\left \{ 2,4,7,8\right \}$

Tap to reveal answer

Answer

The median is the average of the two middle values of a set of data with an even number of values. So we have:

$Median=\frac{4+7}{2}=5.5$

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=8-2=6$

So the range is greater than the median.

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Question

In the following set of data compare the mean and the range:

$\left \{ 4,3,8,8\right \}$

Tap to reveal answer

Answer

The mean of a set of data is given by the sum of the data, divided by the total number of values in the set. So we can write:

$Mean = \frac{4+3+8+8}{4}=\frac{23}{4}=5.75$

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=8-3=5$

So the mean is greater than the range.

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Question

In the following set of data compare the mode and the range:

$\left \{ 1,1,1,2,2,2,2,3,3\right \}$

Tap to reveal answer

Answer

The mode of a set of data is the value which occurs most frequently which is in this problem.

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=3-1=2$

So the range is equal to the mode.

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Question

Consider the following set of scores from a math test. Give the range of the data.

$\left \{ 88,72,61,84,77,79,93 \right \}$

Tap to reveal answer

Answer

The range is a measure of spread. It is the difference between the largest and the smallest data values. So we get:

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Question

Consider the set of numbers: $\left \{ 2,4,5,5,6,6,6,10,12\right \}$

Quantity A: The sum of the median and mode of the set

Quantity B: The range of the set

Tap to reveal answer

Answer

Quantity A: The median (middle number) is , and the mode (most common number) is , so the sum of the two numbers is .

Quantity B: The range is the smallest number subtracted from the largest number, which is .

Quantity A is larger.

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Question

Consider the following set of data:

$\left \{ 2,4,4,5,6,10 \right \}$

Compare and .

: The sum of the median and the mean of the set

: The range of the set

Tap to reveal answer

Answer

The mean of a set of data is given by the sum of the data, divided by the total number of values in the set. So we can write:

$Mean = \frac{2+4+4+5+6+10}{6}=\frac{31}{6}\approx 5.17$

The median is the average of the two middle values of a set of data with an even number of values. So we have:

$Median=\frac{4+5}{2}=4.5$

So we have:

$Median+Mean\approx 4.5+5.17\approx 9.67$

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=10-2=8$

Therefore is greater than .

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Question

In the following set of data compare the median and the range:

$\left \{ 2,4,7,8\right \}$

Tap to reveal answer

Answer

The median is the average of the two middle values of a set of data with an even number of values. So we have:

$Median=\frac{4+7}{2}=5.5$

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=8-2=6$

So the range is greater than the median.

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Question

In the following set of data compare the mean and the range:

$\left \{ 4,3,8,8\right \}$

Tap to reveal answer

Answer

The mean of a set of data is given by the sum of the data, divided by the total number of values in the set. So we can write:

$Mean = \frac{4+3+8+8}{4}=\frac{23}{4}=5.75$

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=8-3=5$

So the mean is greater than the range.

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Question

In the following set of data compare the mode and the range:

$\left \{ 1,1,1,2,2,2,2,3,3\right \}$

Tap to reveal answer

Answer

The mode of a set of data is the value which occurs most frequently which is in this problem.

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=3-1=2$

So the range is equal to the mode.

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Question

Consider the following set of scores from a math test. Give the range of the data.

$\left \{ 88,72,61,84,77,79,93 \right \}$

Tap to reveal answer

Answer

The range is a measure of spread. It is the difference between the largest and the smallest data values. So we get:

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Question

Consider the following set of data:

$\left \{ 2,4,4,5,6,10 \right \}$

Compare and .

: The sum of the median and the mean of the set

: The range of the set

Tap to reveal answer

Answer

The mean of a set of data is given by the sum of the data, divided by the total number of values in the set. So we can write:

$Mean = \frac{2+4+4+5+6+10}{6}=\frac{31}{6}\approx 5.17$

The median is the average of the two middle values of a set of data with an even number of values. So we have:

$Median=\frac{4+5}{2}=4.5$

So we have:

$Median+Mean\approx 4.5+5.17\approx 9.67$

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=10-2=8$

Therefore is greater than .

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Question

In the following set of data compare the median and the range:

$\left \{ 2,4,7,8\right \}$

Tap to reveal answer

Answer

The median is the average of the two middle values of a set of data with an even number of values. So we have:

$Median=\frac{4+7}{2}=5.5$

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=8-2=6$

So the range is greater than the median.

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Range - ISEE Upper Level: Quantitative Reasoning

Consider the set of numbers: Quantity A: The sum of the median and mode of the set Quantity B: The range of the set

Quantity A: The median (middle number) is , and the mode (most common number) is , so the sum of the two numbers is . Quantity B: The range is the smallest number subtracted from the largest number, which is . Quantity A is larger.

In the following set of data compare the mode and the range:

The mode of a set of data is the value which occurs most frequently which is in this problem. The range is the difference between the lowest and the highest values. So we have: So the range is equal to the mode.

Consider the following set of data: Compare and . : The sum of the median and the mean of the set : The range of the set

In the following set of data compare the median and the range:

The median is the average of the two middle values of a set of data with an even number of values. So we have: The range is the difference between the lowest and the highest values. So we have: So the range is greater than the median.

In the following set of data compare the mean and the range:

The mean of a set of data is given by the sum of the data, divided by the total number of values in the set. So we can write: The range is the difference between the lowest and the highest values. So we have: So the mean is greater than the range.

In the following set of data compare the mode and the range:

The mode of a set of data is the value which occurs most frequently which is in this problem. The range is the difference between the lowest and the highest values. So we have: So the range is equal to the mode.

Consider the following set of scores from a math test. Give the range of the data.

The range is a measure of spread. It is the difference between the largest and the smallest data values. So we get:

Consider the following set of data: Compare and . : The sum of the median and the mean of the set : The range of the set

In the following set of data compare the median and the range:

The median is the average of the two middle values of a set of data with an even number of values. So we have: The range is the difference between the lowest and the highest values. So we have: So the range is greater than the median.

In the following set of data compare the mean and the range:

The mean of a set of data is given by the sum of the data, divided by the total number of values in the set. So we can write: The range is the difference between the lowest and the highest values. So we have: So the mean is greater than the range.

In the following set of data compare the mode and the range:

The mode of a set of data is the value which occurs most frequently which is in this problem. The range is the difference between the lowest and the highest values. So we have: So the range is equal to the mode.

Consider the following set of scores from a math test. Give the range of the data.

The range is a measure of spread. It is the difference between the largest and the smallest data values. So we get:

Consider the set of numbers: Quantity A: The sum of the median and mode of the set Quantity B: The range of the set

Quantity A: The median (middle number) is , and the mode (most common number) is , so the sum of the two numbers is . Quantity B: The range is the smallest number subtracted from the largest number, which is . Quantity A is larger.

Consider the following set of data: Compare and . : The sum of the median and the mean of the set : The range of the set

In the following set of data compare the median and the range:

The median is the average of the two middle values of a set of data with an even number of values. So we have: The range is the difference between the lowest and the highest values. So we have: So the range is greater than the median.

In the following set of data compare the mean and the range:

The mean of a set of data is given by the sum of the data, divided by the total number of values in the set. So we can write: The range is the difference between the lowest and the highest values. So we have: So the mean is greater than the range.

In the following set of data compare the mode and the range:

The mode of a set of data is the value which occurs most frequently which is in this problem. The range is the difference between the lowest and the highest values. So we have: So the range is equal to the mode.

Consider the following set of scores from a math test. Give the range of the data.

The range is a measure of spread. It is the difference between the largest and the smallest data values. So we get:

Consider the following set of data: Compare and . : The sum of the median and the mean of the set : The range of the set

In the following set of data compare the median and the range:

The median is the average of the two middle values of a set of data with an even number of values. So we have: The range is the difference between the lowest and the highest values. So we have: So the range is greater than the median.

Consider the set of numbers: $\left \{ 2,4,5,5,6,6,6,10,12\right \}$

Quantity A: The sum of the median and mode of the set

Quantity B: The range of the set

Quantity A: The median (middle number) is , and the mode (most common number) is , so the sum of the two numbers is .

Quantity B: The range is the smallest number subtracted from the largest number, which is .

Quantity A is larger.

In the following set of data compare the mode and the range:

$\left \{ 1,1,1,2,2,2,2,3,3\right \}$

The mode of a set of data is the value which occurs most frequently which is in this problem.

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=3-1=2$

So the range is equal to the mode.

Consider the following set of data:

$\left \{ 2,4,4,5,6,10 \right \}$

Compare and .

: The sum of the median and the mean of the set

: The range of the set

In the following set of data compare the median and the range:

$\left \{ 2,4,7,8\right \}$

In the following set of data compare the mean and the range:

$\left \{ 4,3,8,8\right \}$

In the following set of data compare the mode and the range:

$\left \{ 1,1,1,2,2,2,2,3,3\right \}$

The mode of a set of data is the value which occurs most frequently which is in this problem.

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=3-1=2$

So the range is equal to the mode.

Consider the following set of scores from a math test. Give the range of the data.

$\left \{ 88,72,61,84,77,79,93 \right \}$

Consider the following set of data:

$\left \{ 2,4,4,5,6,10 \right \}$

Compare and .

: The sum of the median and the mean of the set

: The range of the set

In the following set of data compare the median and the range:

$\left \{ 2,4,7,8\right \}$

In the following set of data compare the mean and the range:

$\left \{ 4,3,8,8\right \}$

In the following set of data compare the mode and the range:

$\left \{ 1,1,1,2,2,2,2,3,3\right \}$

The mode of a set of data is the value which occurs most frequently which is in this problem.

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=3-1=2$

So the range is equal to the mode.

Consider the following set of scores from a math test. Give the range of the data.

$\left \{ 88,72,61,84,77,79,93 \right \}$

Consider the set of numbers: $\left \{ 2,4,5,5,6,6,6,10,12\right \}$

Quantity A: The sum of the median and mode of the set

Quantity B: The range of the set

Quantity A: The median (middle number) is , and the mode (most common number) is , so the sum of the two numbers is .

Quantity B: The range is the smallest number subtracted from the largest number, which is .

Quantity A is larger.

Consider the following set of data:

$\left \{ 2,4,4,5,6,10 \right \}$

Compare and .

: The sum of the median and the mean of the set

: The range of the set

In the following set of data compare the median and the range:

$\left \{ 2,4,7,8\right \}$

In the following set of data compare the mean and the range:

$\left \{ 4,3,8,8\right \}$

In the following set of data compare the mode and the range:

$\left \{ 1,1,1,2,2,2,2,3,3\right \}$

The mode of a set of data is the value which occurs most frequently which is in this problem.

The range is the difference between the lowest and the highest values. So we have:

$Range = Maximum\ Value-Minimum\ Value=3-1=2$

So the range is equal to the mode.

Consider the following set of scores from a math test. Give the range of the data.

$\left \{ 88,72,61,84,77,79,93 \right \}$

Consider the following set of data:

$\left \{ 2,4,4,5,6,10 \right \}$

Compare and .

: The sum of the median and the mean of the set

: The range of the set

In the following set of data compare the median and the range:

$\left \{ 2,4,7,8\right \}$