ISEE Middle Level Math : Data Analysis and Probability

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

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Example Questions

Example Question #331 : Data Analysis And Probability

Find the mean of this set of numbers:

Possible Answers:

Correct answer:

Explanation:

First add up all of the numbers in the set:

Then divide by the number of elements in the set:

Answer:

Example Question #103 : Data Analysis And Probability

In Ms. Olson's class, there were 5 students who took an exam, earning a mean score of 86. Jacob then took the exam as well, earning a score of 91. What is the new mean?

Possible Answers:

Correct answer:

Explanation:

The mean is found by adding the scores together, and then dividing by the number of items. 

Example Question #91 : Data Analysis

In Maria's family, her parents are both 45 years old, and her younger brother is 2 years younger than she is. What is the mean of their ages, if Maria is 5 years old?

Possible Answers:

Correct answer:

Explanation:

The mean of a set is found by finding the sum of the set and then dividing by the number of items in the set. Given that both of her parents are 45 years old, that Maria is 5 years old, and that her brother is 3 years old (being 2 years younger than she is), the mean is calculated using this equation:

Example Question #95 : Mean

Olivia is considering buying a new car. She is looking at three different cars. The price for the three cars is ,  and , respectively. What is the average price of a car Olivia is considering?

Possible Answers:

Correct answer:

Explanation:

First add up the prices of each of the cars:

Then divide that number by the total number of cars:

Answer: The average price of a car Olivia is considering is 

Example Question #92 : Data Analysis

Find the mean of this set of numbers:

Possible Answers:

Correct answer:

Explanation:

First, add the numbers in the set:

Then divide by the amount of numbers in the set:

Answer: The mean is .

 

Example Question #641 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Find the mean of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

To solve, simply add them all up and divide by their total.

Thus,

Example Question #82 : How To Find Mean

The annual total of potatoes grown on a farm is .  What would the monthly average be for the year?

Possible Answers:

Correct answer:

Explanation:

To solve for mean, you must add up all of the values in your set then divide that total by the number of values you have.  

The problem already gave us the total amount  which represents the total for the year.  

They ask for the monthly average which would mean you divide the total amount by the number of months which there are  months in a year.  

So the answer would be, 

 potatoes per month.

Example Question #642 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Here is a set of values from an experiment:

How would the mean change if you change  to ?

Possible Answers:

It would increase

It would stay the same

Not enough information to find a solution

It would decrease

Correct answer:

It would increase

Explanation:

Since the mean is calculated by adding up all of your values together and dividing by the total number, it is affected by changes in values on the high or low end.  Since one of the values is increased, the numerator in your calculation would also increase.  But the total number of values did not so the denominator stays the same.  With only the numerator going up, the final value will also go up.

Example Question #81 : How To Find Mean

Find the mean of the following data set:

Possible Answers:

Correct answer:

Explanation:

Find the mean of the following data set:

First, let's rearrange our numbers in increasing order:

Now, the mean can be found by dividing the sum of our numbers, by the total number of terms. In this case, we have 15 terms, we do the following:

So, our mean is 79.

Example Question #85 : How To Find Mean

Adding new values to a set will not necessarily change the mean that you previously calculated.  True or false?

Possible Answers:

True

False

Correct answer:

True

Explanation:

If you add a value that is the same value as the mean, the mean will stay the same.  Your total value will proportionally increase by the average value which will be offset by increasing the denominator by 

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