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.

   Kira recorded points scored in a game for eight players (the ball bounced high). One player was far from the rest. How much less is the mean than the median?

   3.25
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.

   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
4. 4.

   Pia recorded books read this year for eight students (one student read under the covers). One student was far from the rest. How much lower is the mean without the far dot?

   3
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.

   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
7. 7.

   Ari recorded minutes of violin practice for eight students. One student was far from the rest (the bow squeaked). Which center fits the typical practice time better?

   • 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 mean, because it uses every dot.
   • The range, because it shows how big the typical dot is in this data set
8. 8.

   Esme recorded minutes of sleep lost to a noisy night for eight students. One student was far from the rest (one tent stayed quiet). Which center fits the typical number of minutes better?

   • The mean, because it uses every dot.
   • 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.
9. 9.

   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 range, because it shows how big the typical dot is.
   • The mean, because it shares the total equally among all the dots.
10. 10.

    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?

    • 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
    • The IQR, because the far dot stretches the range but not the middle half.
    • The range, because it uses the smallest and biggest dots.