Arrange in order of value, lowest to highest. Q1 is 4th score, Q3 = eighth, average of two middle scores = median.
Find the mean (average) = sum of scores/number of scores
Subtract each of the scores from the mean and square each difference. Find the sum of these squares. Divide that by the number of scores to get variance.
Standard deviation = square root of variance
I'll let you do the calculations.
Consider the following sample of data:
11.2, 28.4, 32.6, 17, 13.5, 2.2, 38, 41.4, 1.9, 14.4, 21.8, 23.8
a) Calculate the max, min, Q1, median, and Q3
b) Calculate the average
c) Calculate the standard deviation
d) Calculate the variance
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