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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Example Questions

Example Question #2 : How To Find Median

Consider the data set .

Which of the following elements, when plugged in for the square, make 40 the median of the data set?

Possible Answers:

All of the other responses are correct.

Correct answer:

All of the other responses are correct.

Explanation:

The median of eleven elements is the element in the middle, assuming the numbers are arranged in order.

If the box is replaced with a 40, the data set becomes

,

making 40 the sixth element.

If the box is replaced with a value less than 40, then the lowest five values are 20, 30, 30, 40, and the median is 40.

If the box is replaced with a value greater than 40, then the lowest five values are 20, 30, 30, 40, 40, and the median is 40.

No matter what, the median is 40.

 

 

Example Question #1 : Median

The six students in the science club weigh  pounds,  pounds,  pounds,  pounds,  pounds, and  pounds. Give the median of their weights.

Possible Answers:

Correct answer:

Explanation:

In ascending order, their weights are:

The median is the average of the two numbers in the middle of the set, which are  and :

The median weight is  pounds.

Example Question #1 : Find Median

Give the median of the following eight scores: 

Possible Answers:

Correct answer:

Explanation:

Arrange the scores from least to greatest.

There are an even number (eight) of scores, so the median is the arithmetic mean of the middle two scores, 72 and 73. This makes the median

Example Question #331 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Find the median of this set of numbers:

753, 159, 456, 654, 852, 963, 741.

 

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest.

Then, identify the middle number:

 

 

 

Example Question #3 : Find Median

Find the median of this set of numbers:

60, 74, 51, 43, 91,62, 65

Possible Answers:

Correct answer:

Explanation:

First, place the numbers in order from least to greatest:

Then, identify the middle number: 62.

 

Example Question #4 : Find Median

Give the median of the following nine scores: 

Possible Answers:

Correct answer:

Explanation:

Arrange the scores from least to greatest.

There are an odd number (nine) of scores, so the median of the scores is the one that falls in the center - namely, 72.

Example Question #5 : Find Median

What is the median of the following set of numbers:

 

Possible Answers:

No number is the median for this set of numbers

Correct answer:

Explanation:

The median is the number with an equal number of other items both above and below it.  There are 9 total numbers in the list, 4 of them are below 7, and 4 of them are above 7.

Example Question #81 : Data Analysis

What is the median of the values , , , , ?

Possible Answers:

Correct answer:

Explanation:

The median of a set of values is the value that is in the middle when you rearrange the values from least to greatest. In this set, the values can be rearranged as  and the median is .

Example Question #6 : Find Median

On a math test that the teacher gave her students, the scores were as follows:

What was the median score?

Possible Answers:

Correct answer:

Explanation:

The median is the middle number in a set when the set of numbers is ordered sequentially. 

When the intial set is reordered sequentially, you get the bottom set. (The top set is the original ordering of the numbers.)

In this sequential set of 7 numbers, the number 89 is in the fourth posiiton and exactly in the middle. Therefore, it is the mean. 

Example Question #7 : Find Median

What is the median of this set of numbers?

Possible Answers:

Correct answer:

Explanation:

To find the median of a set of numbers, you must first reorder them from smallest to largest. Below is the set reordered as such:

The median is the middle number of the set. Here, 57 is the middle number. Therefore, it is the median and the correct answer. 

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