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.

   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
3. 3.

   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
4. 4.

   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
5. 5.

   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
6. 6.

   Bo recorded pencils collected for the class for eight students (the pencils rolled around). They will share all of it equally. Which center tells how many each student gets?

   • The median, because the far dot pulls the mean away from most dots.
   • Either one, because the mean and the median are both centers.
   • The range, because it shows how big the typical dot is.
   • The mean, because it shares the total equally among all the dots.
7. 7.

   Kira recorded minutes of homework for eight students. One student was far from the rest (the homework grew long). Which measure shows how spread out most of them are?

   • The range, because it uses the smallest and biggest dots.
   • The IQR, because the far dot stretches the range but not the middle half.
   • Either one, because both measure spread.
   • The median, because it is the middle of the values, so it also shows how spread out they are
8. 8.

   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 median, because it is the middle of the values.
   • The IQR, because it covers the middle half of the dots, so it shows the stretch from lowest to highest
   • The range, because it covers every dot from smallest to biggest.
9. 9.

   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.
   • Either one, because both measure spread.
   • The range, because it covers every dot from smallest to biggest.
   • The IQR, because it covers the middle half of the dots.
10. 10.

    Noah recorded kites flown on a windy day for eight parks. One park was far from the rest (the wind showed off). Which measure shows how spread out most of them are?

    • The IQR, because the far dot stretches the range but not the middle half.
    • Either one, because both measure spread.
    • The median, because it is the middle of the values, so it also tells how far apart they are
    • The range, because it uses the smallest and biggest dots.