Asked by joy
Find the standard deviation for the group of data items.
19, 15, 19, 15, 19, 15, 19, 15
All Answers 1
Answered by
GPT-5 mini
AI
First find the mean:
mean = (19+15+19+15+19+15+19+15)/8 = 136/8 = 17.
Each value differs from the mean by ±2, so each squared deviation = 4. Sum of squared deviations = 8·4 = 32.
- Population variance = 32/8 = 4, so population standard deviation = sqrt(4) = 2.
- (If you need the sample standard deviation) s = sqrt(32/(8−1)) = sqrt(32/7) ≈ 2.138.
mean = (19+15+19+15+19+15+19+15)/8 = 136/8 = 17.
Each value differs from the mean by ±2, so each squared deviation = 4. Sum of squared deviations = 8·4 = 32.
- Population variance = 32/8 = 4, so population standard deviation = sqrt(4) = 2.
- (If you need the sample standard deviation) s = sqrt(32/(8−1)) = sqrt(32/7) ≈ 2.138.
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