A series contains values 4, 4, 4, 4, 4, 4. Its standard deviation is?
- 1
- 2
- 0
- 4
Explanation
tandard deviation measures how much the values in a data set vary from the mean.
Given series: 4, 4, 4, 4, 4, 4
- Step 1: Find the mean
Mean = (4 + 4 + 4 + 4 + 4 + 4) / 6 = 24 / 6 = 4
- Step 2: Subtract the mean from each value and square it
(4−4)² = 0
Repeating for all values: 0, 0, 0, 0, 0, 0
- Step 3: Find the average of squared differences
(0 + 0 + 0 + 0 + 0 + 0) / 6 = 0
- Step 4: Square root of variance = standard deviation
√0 = 0
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