Question

HELPPPPPPPPPPP

Answer 1

Answer:

Part A

• C. 7.25

Part B

• B. Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.

Step-by-step explanation:

Given data:

• 299, 281, 285, 269, 280, 269, 286, 287

Part A

Find the mean of the data above:

• (299 + 281 + 285 + 269 + 280 + 269 + 286 + 287)/8 = 282

Find absolute deviations, an absolute value of the difference of data and the mean:

• 299 - 282 = 17 ⇒ 17
• 281 - 282 = -1 ⇒ 1
• 285 - 282 = 3 ⇒ 3
• 269 - 282 = -13 ⇒ 13
• 280 - 282 = 2 ⇒ 2
• 269 - 282 = -13 ⇒ 13
• 286 - 282 = 4 ⇒ 4
• 287 - 282 = 5  ⇒ 5

Find mean absolute deviation:

• (17 + 1 + 3 + 13 + 2 + 13 + 4 + 5)/8 = 7.25

Correct choice is C

Part B

Less mean absolute deviation is the sign of more consistent data.

Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25

Correct choice is B.