You must give a detailed solution for each part

Part 1: Prepare Familiarize yourself with the following data.

In 1955, scientists R.R. Sokal and P.E. Hunter analyzed the affects of pesticides on houseflies. Among the data sets they collected were samples of housefly wing lengths. These are normally distributed. The data they collected is summarized in the following frequency distribution.

Normally Distributed	Housefly Wing Lengths
length (x.1mm)	frequency
36	1
37	1
38	2
39	2
40	4
41	6
42	7
43	8
44	9
45	10
46	10
47	9
48	8
49	8
50	6
51	5
52	2
53	2
54	1
55	1

1. Find the mean and standard deviation of the sample of housefly wing lengths. [1 point]
2. List all the data values that are within 2 standard deviations of the mean. Justify how you obtained those data values. [1 point]
3. What percentage of the data values are within 2 standard deviations of the mean? Show work for the calculation. [1 point]
4. Is this consistent with the Empirical Rule? Explain. [1 point]