SSAT Middle Level Math : Data Analysis

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

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Example Questions

Example Question #1 : Median

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

9080, 9008, 9800, 9099, 9009, 9090, 9008

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest:

Then, find the mode (the most recurring number): 9008

Then, find the median (the middle number):

Finally, subtract the mode from the median:

Answer: 72.

Example Question #122 : Data Analysis

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 #1741 : Grade 6

In Jane's previous six basketball games, she made the following number of baskets:

What is the median number of baskets she made?

Possible Answers:

Correct answer:

Explanation:

The first step to finding the median is to reorder the number of baskets that Jane scored from smallest to largest. This gives us:

The median number is the number in the middle of the set. Given that there are two middle numbers (4 and 6), the average of these numbers will be the median. 

The average of 4 and 6 is:

Example Question #3 : Find Median

Shelly took five tests and quizzes this semester in school. If her grades were , , , , and , what is her median test score?

Possible Answers:

Correct answer:

Explanation:

First, order the test scores from least to greatest:

 

Identify the middle test score:

Answer: Shelley's median test score is 92.

Example Question #551 : Ssat Middle Level Quantitative (Math)

Find the median of the following test scores from Andy's class;

 

Possible Answers:

Correct answer:

Explanation:

To find the median of a set, you must order all the scores from lowest to highest.  

Then you must find the middle number.  

Since this set is even, you have two middle numbers which are  and .  

You must average the two which gives you .

Example Question #82 : Data Analysis

Horatio's soccer team has scored the below number of goals in their last eight games, what is the median number of goals that have been scored? 

Possible Answers:

Correct answer:

Explanation:

First we must put the numbers  in order from least to greatest. 

After the numbers are in order, if it is an odd number of numbers we chose the middle number - that is the median. 

In this case, we have an even number of numbers, so we must take the average of the middle two numbers which is given below: 

So the median is !

Example Question #12 : Find Median

Horatio's soccer team has scored the below number of goals in their last  games: 

Horatio calculates the median to be  for this set of data. He then goes back and finds that the game where he thought they scored 9 goals; his team actually scored  goals - how will this change the median if he replaces the  with  in the data set? 

Possible Answers:

The median will remain unchanged

The median will increase by 

The median will increase by 

The median will increase by 

Correct answer:

The median will remain unchanged

Explanation:

When finding the median we must first reorganize the numbers from least to greatest, here is what the numbers are before and after they were organized. 

Given: 

After Organized from least to greatest: 

In order to find the Median for an even number of numbers (we have  numbers in this set) we take the average of the middle two numbers. 

Here we would add  which is , we then divide by two to find the mean which is

If we were to change the  to an , this does not impact the middle two numbers, they will remain  and  which means the Median will remain

The middle two numbers are still  and

The Median will remain unchanged.

Example Question #1 : Find Median

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 #11 : Find Median

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 #81 : Data Analysis

Given the following data sets of data, identify how the median would change if an additional data point of  was added to the new set? 

Data Set: 

New Data Set: 

Possible Answers:

Correct answer:

Explanation:

First, we need to find the median for the first data set: 

We must put the numbers in order from least to greatest: 

Since there is an even number of items in the data set, we will take the average of the middle two numbers to find the median. 

The median for this data set is:

 

Next, we must find the new median for the new data set: 

Again, we must put the numbers in order from least to greatest: 

Since there is an odd number of items, we can choose the middle number to be the median. 

In this case, the middle number is , which means the new median is:

Therefore, we know that the median will decrease by .

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