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Calculate mean, standard deviation and check normal distribu

0.4 0.8 0.6 7.2 5.8 -1.5 12.2
0.8 0.6 0.9 -0.4 5.7 4.1 7.9
12.8 3.4 0.8 3.2 7 14.9 -1.7
-0.4 6 0 0.1 15.8 11.7 4.6
-0.1 4.8 3.7 -1.2 14.4 7.6 11.4
3.6 -0.5 5 -2.7 4.7 3 3.3
-0.7 -0.7 5.9 -12.3 -2.1 20.3 -1
-5.7 3.2 3.8 -6.1 0.5 18.9 4.5
-4.2 3.3 1.9 -3.4 2.4 9.6 15.6
-0.6 2.7 4.2 0.2 2.6 8.3 1.6

The above data is a sample of daily maximum temperatures in March (from 2006-2008).
a. Calculate the mean (1 decimal place) and standard deviation (2 decimal places) of this data.
b. Determine how much data lies within 1 standard deviation of the mean and within 2 standard deviations of the mean. Round to the nearest percent.
c. Determine a reasonable interval size and number of intervals. Produce a properly labeled histogram for the grouped data using technology. Paste this graph into your solutions.
d. Does this data appear to model a normal distribution? Explain why or why not.

Solution Summary

The solution provides detailed explanation how to find mean, standard deviation and how to check if it is a normal distribution.

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