The following data represent the amount of soft drink in a sample of 50 2-liter

Question

The following data represent the amount of soft drink in a sample of 50 2-liter bottles. Bold a. nbspa. Construct a cumulative percentage distribution. Bold b. nbspb. On the basis of the results of (a), does the amount of soft drink filled in the bottles concentrate around specific values?

2.109 2.109 2.106 2.091 2.083 2.066 2.066 2.058 2.049 2.044 2.041 2.038 2.021 2.009 2.009 2.008 2.008 2.007 2.006 2.004 2.004 2.003 2.003 2.002 2.002 1.986 1.986 1.984 1.978 1.971 1.967 1.959 1.955 1.954 1.952 1.951 1.951 1.946 1.944 1.939 1.929 1.923 1.921 1.918 1.913 1.907 1.903 1.901 1.898 1.892

Explanation / Answer

(a)

Volume(liters)  Percentage Less than %

1.892 2
1.898 4
1.901 6
1.903 8
1.907 10
1.913 12
1.918 14
1.921 16
1.923 18
1.929 20
1.939 22
1.944 24
1.946 26   
1.951 30
   1.952 32
1.954 34
1.955 36
1.959 38
1.967 40
1.971 42
1.978 44
1.984 46
1.986 50
2.002 54
2.003 58
   2.004 62
2.006 64
2.007 66
2.008 70
   2.009 74
   2.021 76
2.038 78
2.041 80
2.044 82
2.049 84
2.058 86
2.066 90
2.083 92
2.091 94
2.106 96
2.109 100
(b)

Here , see the value corresponding to cumulative percentage is equal to 50% which is   1.986 which is median of volume.

Also, mean of volume is 1.98948 which is close to median.

Thus,  the amount of soft drink filled in the bottles concentrate around median 1.986 .

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