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ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #261 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Given the below set of numbers find the range:

4, 8, 9, 7, 12, 15, -2, 3, 0, 10

Possible Answers:

Correct answer:

Explanation:

Range for a set of data is defined as the difference between the biggest and smallest number.

First we find the biggest number which is 15, we then subtract the smallest number in this set which is negative 2 as shown below:

15-(-2) = 15 + 2 = 17

Remember, when subtracting a negative number we must add the numbers.

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Example Question #5 : Range

Given the below set of numbers, find the range:

$\frac{4}{5}, \ \frac{5}{8},\ \frac{1}{3},\ \frac{1}{10}$

Possible Answers:

$\frac{3}{5}$

$\frac{1}{5}$

$\frac{7}{10}$

$\frac{3}{10}$

Correct answer:

$\frac{7}{10}$

Explanation:

In order to find the range, we must subtract the smallest number from the biggest number.

$Biggest\ Number = \frac{4}{5}$

$Smallest\ Number = \frac{1}{10}$

$\frac{4}{5}-\frac{1}{10}$

We must convert the fractions to have a common denominator which is 10.

$\frac{8}{10}-\frac{1}{10}=\frac{7}{10}$

Therefore, the range of this set is

$\frac{7}{10}$ .

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Example Question #3 : Data Analysis

Given the below set of numbers, find the range:

$\frac{4}{5}, \ \frac{5}{8},\ \frac{1}{3},\ \frac{1}{10}$

Possible Answers:

$\frac{3}{5}$

$\frac{1}{3}$

$\frac{3}{10}$

$\frac{7}{10}$

$\frac{1}{5}$

Correct answer:

$\frac{7}{10}$

Explanation:

In order to find the range, we must subtract the smallest number from the biggest number.

$Biggest\ Number = \frac{4}{5}$

$Smallest\ Number = \frac{1}{10}$

$\frac{4}{5}-\frac{1}{10}$

We must convert the fractions to have a common denominator which is 10.

$\frac{8}{10}-\frac{1}{10}=\frac{7}{10}$

Therefore, the range of this set is

$\frac{7}{10}$ .

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Example Question #1 : Data Analysis

Find the range of the data set provided:

Screen shot 2016 04 05 at 8.55.18 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set.

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

26,26,26,27,28,28,28,29,30,30,30,31,32,33,34,34,34,34,35,36

Next, we can solve for the difference between the highest value and the lowest value:

$\frac{\begin{array}[b]{r}36\\ -\ 26\end{array}}{ \ \ \ \space 10}$

The range for this data set is

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Example Question #1 : Range

Find the range of the data set provided:

Screen shot 2016 04 05 at 9.44.17 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set.

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

11,11,13,14,14,14,14,15,18,19,20,20,21,22,27

Next, we can solve for the difference between the highest value and the lowest value:

$\frac{\begin{array}[b]{r}27\\ -\ 11\end{array}}{ \ \ \ \space 16}$

The range for this data set is

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Example Question #5 : How To Find Range

Find the range of the data set provided:

Screen shot 2016 04 05 at 10.03.05 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set.

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

1,2,3,3,4,4,4,4,5,7,8,9,10,10,11

Next, we can solve for the difference between the highest value and the lowest value:

$\frac{\begin{array}[b]{r}11\\ -\ 1\end{array}}{ \ \ \ \space 10}$

The range for this data set is

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Example Question #11 : Find Range

Find the range of the data set provided:

Screen shot 2016 04 05 at 10.19.45 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set.

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

1,2,2,3,3,4,4,4,4,4,7,8,8,9,9

Next, we can solve for the difference between the highest value and the lowest value:

$\frac{\begin{array}[b]{r}9\\ -\ 1\end{array}}{ \ \ \ \space 8}$

The range for this data set is

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Example Question #1 : Mode

Kali decided to keep a log of how much money she spent on lunch at school each day for three weeks. Her data included the following numbers:

Week 1: $2.50, $3.00, $2.75, $3.00, $2.50

Week 2: $3.00, $2.50, $2.75, $2.50, $3.00

Week 3: $2.50, $2.75, $2.50, $3.00, $2.50

What is the mode of this data?

Possible Answers:

$ $\small 0.50$

$ $\small 3.00$

$ $\small 2.72$

$ $\small 2.50$

$ $\small 2.75$

Correct answer:

$ $\small 2.50$

Explanation:

In order to find mode, we must determine which number occurs most often in the data set. In this particular set, $ $\small 2.50$ occurs $\small 7$ times, $ $\small 2.75$ occurs $\small 3$ times, and $ $\small 3.00$ occurs $\small 5$ times. Since $ $\small 2.50$ occurs the most often, it is the mode for this set of data.

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Example Question #262 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

$\left \{ 14,17,20,15,14,16,18,14 \right \}$

Which measure of central tendency would you use to find the term that is most occuring?

Possible Answers:

Median

Interquartile Range

Range

Mode

Mean

Correct answer:

Mode

Explanation:

Mode is the number that occurs most often, so that is the correct answer. Median is the middle number, while mean is the average of the set. Range is the difference between the greatest and least numbers.

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Example Question #263 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Give the mode of the data set $\left \{ 2, 4, 8, 16, 32, 64\right \}$

Possible Answers:

The data set has no mode.

Correct answer:

The data set has no mode.

Explanation:

No element in the data set appears more than once; for an element to have a mode, that element must appear at least twice. The set has no mode.

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All ISEE Middle Level Quantitative Resources

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ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #261 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Example Question #5 : Range

Example Question #3 : Data Analysis

Example Question #1 : Data Analysis

Example Question #1 : Range

Example Question #5 : How To Find Range

Example Question #11 : Find Range

Example Question #1 : Mode

Example Question #262 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Example Question #263 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

All ISEE Middle Level Quantitative Resources

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