Calculating range - GMAT Quantitative

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Question

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

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Answer

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

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Question

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

Tap to reveal answer

Answer

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

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Question

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

Tap to reveal answer

Answer

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

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Question

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

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Answer

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

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Question

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

Tap to reveal answer

Answer

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

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Question

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

Tap to reveal answer

Answer

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

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Question

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

Tap to reveal answer

Answer

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

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Question

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

Tap to reveal answer

Answer

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

← Didn't Know|Knew It →

Question

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

Tap to reveal answer

Answer

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

← Didn't Know|Knew It →

Question

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

Tap to reveal answer

Answer

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

← Didn't Know|Knew It →

Question

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

Tap to reveal answer

Answer

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

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Question

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

Tap to reveal answer

Answer

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

← Didn't Know|Knew It →

Question

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

Tap to reveal answer

Answer

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

← Didn't Know|Knew It →

Question

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

Tap to reveal answer

Answer

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

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Question

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

Tap to reveal answer

Answer

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

← Didn't Know|Knew It →

Question

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

Tap to reveal answer

Answer

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

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Question

What is the range for the following set:

Tap to reveal answer

Answer

The range is the difference between the highest and lowest number.

First sort the set:

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Question

A large group of students is given a standardized test. The following information is given about the scores:

Mean: 73.8

Standard deviation: 6.3

Median: 71

25th percentile: 61

75th percentile: 86

Highest score: 100

Lowest score: 12

What is the interquartile range of the tests?

Tap to reveal answer

Answer

The interquartile range of a data set is the difference between the 75th and 25th percentiles:

$\textrm{IQR }= 86-61=25$

All other given information is extraneous to the problem.

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Question

What is the range for the following data set:

Tap to reveal answer

Answer

The range is the highest value number minus the lowest value number in a sorted data set:

We need to sort the data set:

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Question

Consider the following set of numbers:

85, 87, 87, 82, 89

What is the range?

Tap to reveal answer

Answer

The range is the difference between the maximum and minimum value.

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Calculating range - GMAT Quantitative

Consider the data set . What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

Consider the data set . What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

Consider the data set . What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

. Give the midrange of the set .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange .

. Give the midrange of the set .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange .

Consider the data set . What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

. Give the midrange of the set .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange .

. Give the midrange of the set .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange .

Consider the data set . What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

. Give the midrange of the set .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange .

Consider the data set . What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

. Give the midrange of the set .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange .

Consider the data set . What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

. Give the midrange of the set .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange .

Consider the data set . What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

. Give the midrange of the set .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange .

What is the range for the following set:

The range is the difference between the highest and lowest number. First sort the set:

A large group of students is given a standardized test. The following information is given about the scores: Mean: 73.8 Standard deviation: 6.3 Median: 71 25th percentile: 61 75th percentile: 86 Highest score: 100 Lowest score: 12 What is the interquartile range of the tests?

The interquartile range of a data set is the difference between the 75th and 25th percentiles: All other given information is extraneous to the problem.

What is the range for the following data set:

The range is the highest value number minus the lowest value number in a sorted data set: We need to sort the data set:

Consider the following set of numbers: 85, 87, 87, 82, 89 What is the range?

The range is the difference between the maximum and minimum value.

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

Consider the data set $\left \{ 1, -2, 3, -4, 5, -6, 7, -8, 9, -10 \right \}$ .

What is its midrange?

The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are and , so we can find the midrange as follows:

$\left [9 + (-10) \right ]\div 2 = -1\div 2 = -0.5$

.

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

The range is the difference between the highest and lowest number.

First sort the set:

A large group of students is given a standardized test. The following information is given about the scores:

Mean: 73.8

Standard deviation: 6.3

Median: 71

25th percentile: 61

75th percentile: 86

Highest score: 100

Lowest score: 12

What is the interquartile range of the tests?

The interquartile range of a data set is the difference between the 75th and 25th percentiles:

$\textrm{IQR }= 86-61=25$

All other given information is extraneous to the problem.

The range is the highest value number minus the lowest value number in a sorted data set:

We need to sort the data set:

Consider the following set of numbers:

85, 87, 87, 82, 89

What is the range?