You know that the heights of four people are: 156 cm, 184 cm, 172 cm and 165 cm. What is the standard deviation?1 point2810.23139.5811.81
Question
You know that the heights of four people are: 156 cm, 184 cm, 172 cm and 165 cm. What is the standard deviation?1 point2810.23139.5811.81
Solution
To calculate the standard deviation, we first need to find the mean (average) of the data.
The mean is calculated as (156 + 184 + 172 + 165) / 4 = 169.25 cm.
Next, we subtract the mean from each data point and square the result:
(156 - 169.25)^2 = 175.5625 (184 - 169.25)^2 = 217.5625 (172 - 169.25)^2 = 7.5625 (165 - 169.25)^2 = 17.5625
Then, we find the average of these squared differences:
(175.5625 + 217.5625 + 7.5625 + 17.5625) / 4 = 104.5625
Finally, the standard deviation is the square root of this average:
√104.5625 = 10.23 cm.
So, the standard deviation of the heights is approximately 10.23 cm.
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