Question

# The following table shows the frequency distribution of the diameters of 40 bottles. (Lengths have been measured to the nearest millimeter). Find the mean diameter. Diameter(mm)Frequency35âˆ’39640âˆ’441245âˆ’491550âˆ’541055âˆ’607

A
30
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B
45
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C
47
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D
50
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Solution

## The correct option is C 47Class mark for first class interval =Upper class limit + Lower class limit2=35+392=37 Similarly the class mark for each class interval can be found. Class intervalFrequency(fi)Class mark(xi)fixi35−3963722240−44124250445−49154770550−54105257055−60757399Total∑fi=50∑fixi=2350 Mean=∑fixi∑fi =235050 =47

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