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The weights of a sample of 100 boxes being shipped by Air France from New York t

ID: 3133355 • Letter: T

Question

The weights of a sample of 100 boxes being shipped by Air France from New York to Paris are:    

Weights (pounds)                                     Number

50-74                                                           4

75-99                                                          16                                                     

100-124                                                      21

125-149                                                      46

150-174                                                      13

What is the arithmetic mean?

Explanation / Answer

Here, we are given,

Weights

f

Middle value X

fx

50 -74

4

62

248

75-99

16

87

1392

100-124

21

112

2352

125-149

46

137

6302

150-174

13

162

2106

Total

100

560

12400

Arithmetic mean = fx/ f = 12400 / 100 = 124

Arithmetic mean = 124

Weights

f

Middle value X

fx

50 -74

4

62

248

75-99

16

87

1392

100-124

21

112

2352

125-149

46

137

6302

150-174

13

162

2106

Total

100

560

12400