Extra Set

Grade 6 · Unit 7 · L32 · Version A · E2DF

Mean and mean absolute deviation

Name ________________

Date ________________

Period ________________

1.
The data set is 4, 6, 8, 12. The mean is 7.5. Find the MAD.
Answer. 2.5
Mean of the distances from 7.5 is 2.5.
2.
The data set is 6, 8, 10, 12. The mean is 9. Find the MAD.
Answer. 2
Mean of the distances from 9 is 2.
3.
Find the mean of 6, 8, 10, 12.
Answer. 9
Sum = 36; divide by 4 → 9.
4.
The data set is 4, 6, 8, 12. The mean is 7.5. Find the MAD.
Answer. 2.5
Mean of the distances from 7.5 is 2.5.
5.
Find the mean of 4, 6, 10, 12. Then Sam needs 4 of that amount. What is the total they need?
Answer. 32
Sum = 32; divide by 4 → 8. Then multiply by 4: 32.
6.
Find the mean of 4, 6, 8, 10. Then Mei needs 3 of that amount. What is the total they need?
Answer. 21
Sum = 28; divide by 4 → 7. Then multiply by 3: 21.
7.
Find the mean of 4, 8, 10, 12. Then Ava needs 4 of that amount. What is the total they need?
Answer. 34
Sum = 34; divide by 4 → 8.5. Then multiply by 4: 34.
8.
The data set is 4, 6, 10, 12. The mean is 8. Find the MAD. Then Luis needs 4 of that amount. What is the total they need?
Answer. 12
Mean of the distances from 8 is 3. Then multiply by 4: 12.
9.
The data set is 4, 6, 8, 12. The mean is 7.5. Find the MAD. Then Elena needs 3 of that amount. What is the total they need?
Answer. 7.5
Mean of the distances from 7.5 is 2.5. Then multiply by 3: 7.5.
10.
The data set is 4, 6, 10, 12. The mean is 8. Find the MAD. Then Theo needs 2 of that amount. What is the total they need?
Answer. 6
Mean of the distances from 8 is 3. Then multiply by 2: 6.
11.
Think
Elena tried this problem:
Find the mean of 6, 8, 10, 12.
Elena wrote -9. That is not correct. What is the right answer?
Answer. 9
Elena’s answer -9 is off. Sum = 36; divide by 4 → 9.
12.
Think
Sam tried this problem:
Find the mean of 4, 6, 8, 10.
Sam wrote 14. That is not correct. What is the right answer?
Answer. 7
Sam’s answer 14 is off. Sum = 28; divide by 4 → 7.

Original extra practice. Keys are computed from the items, not guessed.

L32 · Mean and mean absolute deviation