ISEE Middle Level Math : Data Analysis

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

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Example Questions

Example Question #481 : Data Analysis

Subtract the median from the mode in this set of numbers:

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest: 

Find the median—the middle number:

Now, find the mode—the most recurring number:

Finally, subtract the median from the mode:

 

Example Question #482 : Data Analysis

Subtract the range from the median in this set of numbers:

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest:

In order to find the range, subtract the smallest number from the greatest:

Now, find the median by identifying the middle number:

Finally, subtract the range from the median:

Example Question #483 : Data Analysis

Find the median in this set of numbers:

Possible Answers:

Correct answer:

Explanation:

First, order the umbers from least to greatest:

Then identify the middle number:

Answer:

Example Question #484 : Data Analysis

Find the median in this set of numbers:

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest:

Then, identify the middle number:

Answer:

Example Question #481 : Data Analysis And Probability

What is the median of the following data set?

Possible Answers:

Correct answer:

Explanation:

What is the median of the following data set?

First, put the data set in increasing order:

Now, our median will simply be the middle term. In this case, it is

It is 147, because there are six terms on either side of 147, making it the middle value

 

Example Question #86 : How To Find Median

Use the following data set to answer the question.

Find the median.

Possible Answers:

Correct answer:

Explanation:

To find the median of a data set, we will first arrange the numbers in ascending order (from smallest to largest) and then we will locate the number in the center or the middle.

So, given the set

we will arrange them in ascending order.  We get

 

Now, we will locate the number that is in the center or the middle.  We can see that it is .

Therefore, the median of the data set is .

Example Question #87 : How To Find Median

Find the median of the following data set:

Possible Answers:

Correct answer:

Explanation:

Find the median of the following data set:

Let's begin by ordering our data set from least to greatest.

Now, our median can be identified by looking at the number or pair of numbers in the middle of our set.

In this case, 45 is our median, because it is the middle value. There are 5 numbers to either side of it.

Example Question #91 : Median

What effect occurs on the median of a set if the lowest number of the set is decreased?

Possible Answers:

Increases

Cannot be determined

No effect

Decreases

Correct answer:

No effect

Explanation:

Since the median is only the middle number of the set and is a countable number, changing the value of the lowest number to an even lower number has no effect on the median.  The middle number will remain the same so that means the median remains the same.

Example Question #485 : Data Analysis

Find the median of the following data set:

Possible Answers:

Correct answer:

Explanation:

Find the median of the following data set:

First, let's reorder our data set:

Next, identify the median by choosing the middle value

So, our answer is 45

Example Question #484 : Data Analysis

Use the following data set to answer the question.

Find the median of the data set.

Possible Answers:

Correct answer:

Explanation:

To find the median of a data set, we will first arrange the numbers in ascending order.  Ascending order means from smallest to largest.  Once we arrange them in ascending order, we will locate the number that is in the middle or center of the set.

 

So, given the set

we will first arrange them in ascending order.  We get

Now, we will locate the number in the middle or center of the set.  We can see that  is in the center.

 

Therefore, the median of the data set is .

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