Question

# Six Flags Magic Mountain is studying the demographics of its visitors. A sample of visitors is...

1. Six Flags Magic Mountain is studying the demographics of its visitors. A sample of visitors is selected and their ages recorded:

30, 14, 26, 21, 38, 9, 17, 29

1. a) Calculate the sample mean.

2. b) Calculate the sample standard deviation.

3. c) Find the mode(s).

4. d) Find the 5 number summary.

5. e) Calculate the IQR.

Following table shows the calculations:

 X (X-mean)^2 9 196 14 81 17 36 21 4 26 9 29 36 30 49 38 225 Total 184 636

Sample size: n=8

a)

The sample mean is

b)

The sample standard deviation is

c)

Since all values are unique so there is no mode of the data.

d)

Minimum : 9

First quartile: Since first half of data set has 4 data values so it is average of 2nd and 3rd data values. So

Median: It is average of 4th and 5th data values. So

Third quartile: Since second half of data set has 4 data values so it is average of 6th and 7th data values. So

Maximum: 38

e)

The inter quartile range is

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