Practice Median in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The median is the middle value of an ordered data set — half of the values are above it and half are below it.
Half the values are below, half are above. The true 'middle.'
Showing a random 20 of 50 problems.
Example 1
mediumA data set of 9 numbers has median . If every value is increased by , what is the new median?
Example 2
mediumA set of 12 numbers has median . You append the value to the set. What is the new median?
Example 3
challengeA set of numbers ( even) has median . You append the single value . Is the new median still ? Explain.
Example 4
mediumData set is already sorted with median . What constraint does this place on ?
Example 5
easyFind the median of .
Example 6
mediumA list has median . If you replace the largest value with one that is even larger, what happens to the median?
Example 7
easyFind the median of .
Example 8
hardThree students have ages (median ). A fourth student joins, making the group's median . Find the fourth student's age.
Example 9
mediumEight test scores are . Find the median.
Example 10
mediumFind the median of the first eight positive even numbers.
Example 11
challengeShow that among any distinct real numbers , the median minimizes the sum of absolute deviations .
Example 12
mediumA data set sorted is and its median is . Find .
Example 13
easyFind the median of .
Example 14
easyIn a class of 11 students, what position (rank) does the median occupy in sorted order?
Example 15
mediumIn , find both the median and state whether it equals any data value.
Example 16
easyFind the median of .
Example 17
easyFind the median of .
Example 18
mediumFind the median of the data set .
Example 19
easyFind the median of .
Example 20
mediumWhat is the median of the first 10 positive integers?