Compute the sample mean and variance from data


Discuss the below:

Calculating Mean and Variance.

A. Following sample data shows the weekly closing price of ABC stock.  Compute the sample mean and variance from this data set.

Closing price

 

 

 

 

 

 

 

 

 

89

 

 

 

 

98

 

 

 

 

78

 

 

 

 

86

 

 

 

 

79

 

 

 

 

98

 

 

 

 

88

 

 

 

 

86

 

 

 

 

89

 

 

 

 

98

 

 

 

 

B. Following sample data arranged in a frequency distribution table.  Use Excel to compute the sample mean and variance from this data set.

Reading scores

Frequency

 

 

 

 

 

 

 

 

 

 

81

7

 

 

 

 

82

8

 

 

 

 

83

5

 

 

 

 

84

9

 

 

 

 

85

4

 

 

 

 

86

7

 

 

 

 

87

8

 

 

 

 

88

5

 

 

 

 

90

9

 

 

 

 

91

8

 

 

 

 

C. Following probability distribution table shows the reading scores, x, of 4th graders from a given school district.  Use Excel to calculate the mean and variance from this data set.

x

P(x)

 

 

 

 

 

 

 

 

 

 

81

0

 

 

 

 

82

0.01

 

 

 

 

83

0.04

 

 

 

 

84

0.12

 

 

 

 

85

0.21

 

 

 

 

86

0.24

 

 

 

 

87

0.21

 

 

 

 

88

0.12

 

 

 

 

90

0.04

 

 

 

 

91

0.01

 

 

 

 

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Basic Statistics: Compute the sample mean and variance from data
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