Find median

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6th Grade Math › Find median

Questions 1 - 10
1

Give the median of the following eight scores:

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

2

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

Explanation

First, order the test scores from least to greatest:

Identify the middle test score:

Answer: Shelley's median test score is 92.

3

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

What is the median number of baskets she made?

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:

4

Find the median of the data set provided:

Screen shot 2016 04 05 at 8.55.18 am

Explanation

In order to answer this question correctly, we need to recall the definition of median:

Median: The median of a data set is the middle value, when the data set is ordered from least to greatest.

In order to find the median, we need to first organize the data from least to greatest:

Next, we can solve for the median by finding the middlemost number in our data:

The median for this data set is

5

What is the median of the following set of numbers:

No number is the median for this set of numbers

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.

6

Find the median of the data set provided:

Screen shot 2016 04 05 at 10.19.45 am

Explanation

In order to answer this question correctly, we need to recall the definition of median:

Median: The median of a data set is the middle value, when the data set is ordered from least to greatest.

In order to find the median, we need to first organize the data from least to greatest:

Next, we can solve for the median by finding the middlemost number in our data:

The median for this data set is

7

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

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:

8

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

What was the median score?

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.

9

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

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 .

10

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:

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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