Which average fits: mean, median or range?

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 1.

   Pia's book club has six members. A new member joins with 57 minutes (the new member loves long chapters). How much greater is the new mean than the old mean?

   5
2. 2.

   Ren's track team has seven runners. A new runner joins with 49 minutes (the new runner never tires). How much greater is the new mean than the old mean?

   4
3. 3.

   Tala's art club has eight members. A new member joins with 49 stickers (the stickers were sorted by color). How much greater is the new mean than the old mean?

   4
4. 4.

   Zee's jump team has five jumpers. A new jumper joins with 56 seconds (the new jumper is bouncy). How much greater is the new mean than the old mean?

   6
5. 5.

   Ari took a random sample of nine students and recorded minutes of reading a day. One value was far from the rest (one book was very long). Which statement does the sample support?

   • The sample suggests the typical reading time for seventh graders at the school is about 37 minutes, using the far value; a fair guess, not proof.
   • The sample suggests the typical reading time for seventh graders at the school is about 17 minutes, using the mean; a fair guess, not proof.
   • The sample suggests the typical reading time for seventh graders at the school is about 15 minutes, using the median; a fair guess, not proof.
   • The sample suggests the typical reading time for seventh graders at the school is about 25 minutes, using the range; a fair guess, not proof.
6. 6.

   Bo took a random sample of ten riders and recorded minutes spent on the bus. One value was far from the rest (the bus took a scenic route). Which statement does the sample support?

   • The sample suggests the typical bus ride for riders in the district is about 15.5 minutes, using the median; a fair guess, not proof.
   • The sample suggests the typical bus ride for riders in the district is about 39 minutes, using the far value; a fair guess, not proof.
   • The sample suggests the typical bus ride for riders in the district is about 18.1 minutes, using the mean; a fair guess, not proof.
   • The sample suggests the typical bus ride for riders in the district is about 25 minutes, using the range; a fair guess, not proof.
7. 7.

   Jun took a random sample of ten students and recorded minutes of piano practice. One value was far from the rest (one student forgot the lesson). Which statement does the sample support?

   • The sample suggests the typical practice time for music students in town is about 26 minutes, using the median; a fair guess, not proof.
   • The sample suggests the typical practice time for music students in town is about 23 minutes, using the range; a fair guess, not proof.
   • The sample suggests the typical practice time for music students in town is about 4 minutes, using the far value; a fair guess, not proof.
   • The sample suggests the typical practice time for music students in town is about 23.5 minutes, using the mean; a fair guess, not proof.
8. 8.

   Luz recorded stairs climbed in a minute for eight students (the stairs creaked). One student was far from the rest. How much does the range drop when the far dot is taken out?

   17
9. 9.

   Milo recorded cups of lemonade poured for eight stands (the lemons smiled). One stand was far from the rest. How much does the range drop when the far dot is taken out?

   17
10. 10.

    Noah recorded minutes of drumming for eight students (the drumsticks bounced). One student was far from the rest. How much does the range drop when the far dot is taken out?

    19