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Question

# In the following grouped frequency distribution table class marks are given.Class Marks102234465870Frequency614202195(i) Construct class intervals of the data. (Exclusive class intervals)(ii) Construct less than cumulative frequencies and(iii) Construct greater than cumulative frequencies

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Solution

## ⇒ Class size =22−10=12∴ 122=6Now, we are going to subtract and add 6 in class marks.∴ Class intervals are6−16,16−28,28−40,40−52,52−64,64−76.⇒ Construct less than cumulative frequency table:Class−Interval L.C.F Less than 166 Less than 286+14=20 Less than 40 20+20=40 Less than 52 40+21=61 Less than 64 61+9=70 Less than 76 70+5=75 ⇒ Construct greater than cumulative frequency table:Class−Interval G.C.F Greater than 6 6+69=75 Greater than 16 14+55=69 Greater than 28 20+35=55 Greater than 40 21+14=35 Greater than 52 9+5=14 Greater than 64 5

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