#### The marks obtained (out of 50) by 40 students in a test are given below:

28, 31, 45, 03, 05, 18, 35, 46, 49, 17, 10, 28, 31, 36, 40, 44, 47, 13, 19, 25, 24, 31, 38, 32,

27, 19, 25, 28, 48, 15, 18, 31, 37, 46, 06, 01, 20, 10, 45, 02.

(i) Taking class intervals 1- 10, 11 – 20, .., construct a tally chart and a frequency distribution table. at

(ii) Convert the above distribution to continuous distribution.

(iii) State the true class limits of the third class.

(iv) State the class mark of the fourth class.

**Solution:**

(i) A tally chart and a frequency distribution :

(ii) Converting the above distribution to continuous distribution.

(iii) The true class limits of the third class=lower limit = 20.5 and upper limit = 30.5

(iv) The class mark of the fourth class (31 + 40)/2 = 71/2 = 35.5

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