Q. 105.0( 1 Vote )

The class marks of a frequency distribution are

26, 31, 36, 41, 46, 51

Find the true class limits.

Answer :

To find true class limit should know the class size;


Class size = 31 – 26 = 5


Mid value = 5/2 = 2.5


When class mark is 26;


Upper class limit = 26 + 2.5 = 28.5


Lower class limit = 26 – 2.5 = 23.5


When class mark is 31;


Upper class limit = 31 + 2.5 = 33.5


Lower class limit = 31 – 2.5 = 28.5


When class mark is 36;


Upper class limit = 36 + 2.5 = 38.5


Lower class limit = 36 – 2.5 = 33.5


When class mark is 41;


Upper class limit = 41 + 2.5 = 43.5


Lower class limit = 41 – 2.5 = 38.5


When class mark is 46;


Upper class limit = 46 + 2.5 = 48.5


Lower class limit = 46 – 2.5 = 43.5


When class mark is 51;


Upper class limit = 51 + 2.5 = 53.5


Lower class limit = 51 – 2.5 = 48.5


So, true class limits are;


23.5 - 28.5, 28.5 - 33.5, 33.5 - 38.5, 38.5 - 43.5, 43.5 - 48.5, 48.5 - 53.5


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