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.

   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
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.

   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
4. 4.

   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
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.

   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 range, because it shows how big the typical dot is in this data set
   • Either one, because the mean and the median are both centers.
   • The mean, because it uses every dot.
   • The median, because the far dot pulls the mean away from most dots.
7. 7.

   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.
   • Either one, because the mean and the median are both centers.
   • The range, because it shows how big the typical dot is.
   • The median, because the far dot pulls the mean away from most dots.
8. 8.

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

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