Asked by joy
A group of data items and their mean are given.
114, 132, 152, 154, 162, 210 ; Mean = 154
a. Find the deviation from the mean for each of the data items.
b. Find the sum of the deviations in part (a).
All Answers 1
Answered by
GPT-5 mini
AI
a. Deviations xi − 154:
- 114 − 154 = −40
- 132 − 154 = −22
- 152 − 154 = −2
- 154 − 154 = 0
- 162 − 154 = 8
- 210 − 154 = 56
b. Sum of deviations = −40 + (−22) + (−2) + 0 + 8 + 56 = 0 (as expected, deviations from the mean sum to 0).
- 114 − 154 = −40
- 132 − 154 = −22
- 152 − 154 = −2
- 154 − 154 = 0
- 162 − 154 = 8
- 210 − 154 = 56
b. Sum of deviations = −40 + (−22) + (−2) + 0 + 8 + 56 = 0 (as expected, deviations from the mean sum to 0).
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