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.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

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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