Which average fits: mean, median or range?

Answer Key - Grade 7 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Jun recorded minutes of reading before bed for eight students (the bookmarks went missing). One student was far from the rest. How much greater is the mean than the median?

   2.75
2. 2.

   Luz recorded bracelets made at camp for eight campers (the yarn tangled). One camper was far from the rest. How much greater is the mean than the median?

   2.5
3. 3.

   Milo recorded minutes to finish a maze for eight students (the maze had a loop). One student was far from the rest. How much lower is the mean without the far dot?

   2.5
4. 4.

   Noah recorded words written in a minute for eight writers (the paper rustled). One writer was far from the rest. How much higher is the mean without the far dot?

   2.75
5. 5.

   Ren recorded miles biked in a month for eight riders (the bell rang often). One rider was far from the rest. How much does the median change when the far dot is taken out?

   0.5
6. 6.

   Tala recorded birds counted at a feeder for eight days (the feeder swayed). One day was far from the rest. How much does the median change when the far dot is taken out?

   1.5
7. 7.

   Zee recorded snowflakes caught on a mitten for ten students (the mittens stayed dry). One student was far from the rest. How much does the median change when the far dot is taken out?

   1
8. 8.

   Jun recorded cans of paint collected for the art room for eight students (the paint smelled fresh). They will share all of it equally. Which center tells how many each student gets?

   • Either one, because the mean and the median are both centers.
   • The median, because the far dot pulls the mean away from most dots.
   • The mean, because it shares the total equally among all the dots.
   • The range, because it shows how big the typical dot is.
9. 9.

   Luz recorded inches of snow measured for eight yards (the snowman waved) and wants to show the whole stretch from lowest to highest. Which measure fits?

   • Either one, because both measure spread.
   • The IQR, because it covers the middle half of the dots, so it shows the stretch from lowest to highest
   • The median, because it is the middle of the values.
   • The range, because it covers every dot from smallest to biggest.
10. 10.

    Milo recorded millimeters of rain measured for eight days (the umbrella stayed open) and wants to show the whole stretch from lowest to highest. Which measure fits?

    • The median, because it is the middle of the values.
    • The range, because it covers every dot from smallest to biggest.
    • The IQR, because it covers the middle half of the dots.
    • Either one, because both measure spread.