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50 candidates were randomly selected to be entered into a weight loss programme. After 3 months in the programme the weights of candidates were retaken. The following frequency distribution table describes the results.

For the above data compute the:
1. mean. 
2. median. 
3. mode. 
4. interquartile range

in Statistics 102 by Silver Status (31.3k points) | 5 views

1 Answer

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1. mean = {∑(midpoint X frequency)}/total frequency

              = (1X13+3X16+.....)/(13+16+....)

              = 198/50

             = 3.96

2. median position = (50+1)/2=25.5

    median=(2+4)/2=3

3. mode = most frequency interval=(2+4)/2=3

4. 3rd quartile position = 3(50+1)/4=38,25

    3rd quartile =( 4+6)/2=5

    1st quartile position = (50+1)/4= 12.75

     1st quartile = (0+2)/2=1

     interquartile range= 3rd quartile-1st quartile =5-1=4

by (21 points)

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