Respuesta :
Answer:
See below in bold.
Step-by-step explanation:
52, 19, 44, 49, 37, 46, 52, 36, 54, 13, 14, 17, 34, 16, 51
The mean = 35.6
The absolute differences from the mean =
16.4, 16.6, 8.4, 13.4, 1.4, 10.4, 16.4, 0.4, 18.4, 22.6, 21.6, 18.6, 1.6, 19.6, 15.4
The squares of these differences =
268.96, 275.56, 70.56, 179.56, 1.96, 108.16, 268.96, 0.16, 338.56, 510.76, 466.56, 345.96, 2.56, 384.16, 237.16.
The Sum of these squares = 3459.6
Sample Variance 3459.6 / 14 = 247.11 and
Population Variance = 3459.6 / 15 = 230.64
Sample standard deviation = √247.11 = 15.72
Population Standard deviation = √230.64 = 15.19.
Sample standard deviation = √247.11 = 15.72
Population Standard deviation = √230.64 = 15.19.
What is standard deviation?
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
Given
52, 19, 44, 49, 37, 46, 52, 36, 54, 13, 14, 17, 34, 16, 51
The mean = 35.6
The absolute differences from the mean =
16.4, 16.6, 8.4, 13.4, 1.4, 10.4, 16.4, 0.4, 18.4, 22.6, 21.6, 18.6, 1.6, 19.6, 15.4
The squares of these differences =
268.96, 275.56, 70.56, 179.56, 1.96, 108.16, 268.96, 0.16, 338.56, 510.76, 466.56, 345.96, 2.56, 384.16, 237.16.
The Sum of these squares = 3459.6
Sample Variance 3459.6 / 14 = 247.11 and
Population Variance = 3459.6 / 15 = 230.64
Sample standard deviation = √247.11 = 15.72
Population Standard deviation = √230.64 = 15.19.
To know more about standard deviation refer to :
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