The mean, variance, and standard deviation of the data set will be 63.667, 198.44, and 14.09, respectively.
What are statistics?
Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.
The data set is given below.
54, 88, 49, 44, 96, 72, 46, 58, 79, 92, 44, 50, 102, 80, 72, 66, 64, 61, 60, 56, 48, 52, 54, 60, 64, 72, 68, 64, 60, 56, 52, 55, 60, 62, 64, 68
The total number of observations is 36.
The mean of a data set is calculated by summing all the elements, then dividing the result by the total number of values.
The mean of the data set will be given as,
Mean = (54 + 88 + 49 + ........ + 64 + 68) / 36
Mean = 2292 / 36
Mean = 63.667
The degree of dispersion in your data collection is indicated by variance. The variance is greater with respect to the mean the more dispersed the data.
The variance of the data set is given as,
Variance = Σ(x - μ)² / n
Variance = [(54 - 63.667)² + (88 - 63.667)² + ...... + (68 - 63.667)²] / 36
Variance = 7144 / 36
Variance = 198.44
A mathematical evaluation of the deviation of a set of numbers from the average.
The standard deviation of the data set is given as,
Standard deviation = √(Variance)
Standard deviation = √198.44
Standard deviation = 14.09
The mean, variance, and standard deviation of the data set will be 63.667, 198.44, and 14.09, respectively.
More about the statistics link is given below.
https://brainly.com/question/10951564
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