ISEE Middle Level Quantitative : Data Analysis and Probability

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

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Example Questions

Example Question #36 : Mean

Find the mean of this set of numbers:

Possible Answers:

Correct answer:

Explanation:

First add the numbers in the set: 

Then, divide by 7:

 

Example Question #37 : Mean

Peter went fishing and caught 5 fish the first hour, 3 fish the second hour, and 4 the last hour. On average, how many fish did Peter catch per hour?

Possible Answers:

Correct answer:

Explanation:

First, add up the three numbers:

Then, divide by 3, because there are three numbers in the data set:

Answer: On average, Peter caught 4 fish per hour.

Example Question #5 : Median

Consider the data set: 

What is the difference between the mean of this set and the median of this set?

Possible Answers:

Correct answer:

Explanation:

To get the mean, add the numbers and divide by 8:

To get the median, find the mean of the fourth- and fifth-highest elements (the ones in the middle):

The difference is 

Example Question #4 : How To Find Mean

What is the mean of the values , , ,

Possible Answers:

Correct answer:

Explanation:

The mean of a set of values can be calculated by adding the values together and dividing by the number of values: 

Example Question #13 : Data Analysis

Adrienne is trying on dresses for prom. The dresses she likes each cost , ,  and , respectively. What is the average dress price that Adrienne is considering?

Possible Answers:

Correct answer:

Explanation:

First, add up all of the dress prices:

Then, divide by the number of dresses:

Answer: The average dress price is 

Example Question #1721 : Grade 6

Find the mean 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 mean:

Mean: The mean of a data set is the average of the numbers in a data set. 

In order to calculate the mean we must first add up all of the numbers in the data set:

 

Next, we need to divide by the number of addends, or the number of numbers in the data set:

The mean for this data set is 

Example Question #101 : Data Analysis And Probability

Find the mean, rounded to the nearest hundredth, 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 mean:

Mean: The mean of a data set is the average of the numbers in a data set. 

In order to calculate the mean we must first add up all of the numbers in the data set:

 

Next, we need to divide by the number of addends, or the number of numbers in the data set:

The mean, rounded to the nearest hundredth, for this data set is 

Example Question #1724 : Grade 6

Find the mean, rounded to the nearest hundredth, 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 mean:

Mean: The mean of a data set is the average of the numbers in a data set. 

In order to calculate the mean we must first add up all of the numbers in the data set:

 

Next, we need to divide by the number of addends, or the number of numbers in the data set:

The mean, rounded to the nearest hundredth, for this data set is 

Example Question #102 : Data Analysis And Probability

Find the mean 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 mean:

Mean: The mean of a data set is the average of the numbers in a data set. 

In order to calculate the mean we must first add up all of the numbers in the data set:

 

Next, we need to divide by the number of addends, or the number of numbers in the data set:

The mean for this data set is 

Example Question #1 : How To Find Median

Brandon is training for a marathon.  Each day after school he runs for two hours.  Over the course of two weeks, he runs the following distances:

What is the median distance that Brandon runs?

Possible Answers:

There is no median.

Correct answer:

Explanation:

In order to find the median, we must first put the data in numerical order from least to greatest:

 

Next, we must find the number that is in the middle, but since there are fourteen numbers, there is no number that falls exactly in the center.  When this happens, we add the two middle numbers together and divide by two.  In this case, our middle numbers are and .

Brandon's median distance is .

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