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Question

# Construct a frequency table for the following weights (in gm) of 35 mangoes using the equal class intervals, one of them is 40-50 (45 not included): 30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68. (i) What is the class mark of the class interval 40-45? (ii) What is the range of the above weights? (iii) How many classes are there?

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Solution

## The frequency table for the given weights (in gm) of 35 mangoes is given below: Weight Tally Marks Frequency 30$-$40 |||| | 6 40$-$50 |||| | 6 50$-$60 |||| |||| 9 60$-$70 |||| || 7 70$-$80 |||| || 7 (i) Class mark for the class interval 40$-$45: $Classmark=\frac{40+45}{2}=\frac{85}{2}=42.5$ (ii) Range of the above weights: $Range=Highestvalue-Lowestvalue\phantom{\rule{0ex}{0ex}}=74-30\phantom{\rule{0ex}{0ex}}=44$ (iii) There are 5 classes (30$-$40, 40$-$50, 50$-$60, 60$-$70, 70$-$80).

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