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Question

# The marks scored by 40 candidates in an examination (out of 100) is given below: 75, 65, 57, 50, 32, 54, 75, 67, 75, 88, 80, 42, 40, 41, 34, 78, 43, 61, 42, 46, 68, 52, 43, 49, 59, 49, 67, 34, 33, 87, 97, 47, 46, 54, 48, 45, 51, 47, 41, 43. Prepare a frequency distribution table with the class size 10. Take the class intervals as (30 - 39), (40 - 49), … and answer the following question: (a) Which class intervals have highest and lowest frequency? (b) Write the upper and lower limits of the class interval 30-39. (c) What is the range of he given distribution?

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Solution

## The frequency distribution table for the given marks can be drawn as: (i) The class interval (40−49) has the highest frequency and the class interval (90−99) has the lowest frequency. (ii) In the class interval (30−39), the lower limit is 30 − 0.5 = 29.5 and the upper limit is 39 + 0.5 = 39.5. (iii) The range of the given distribution is 97− 32 = 65.

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