A grouped frequency distribution table with class intervals:

A grouped frequency distribution table with class intervals of equal size ………… 250 270 (270 not included in this interval) as one of the class intervals is constructed for the following data:

268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304, 402, 318, 406 ………..
(a) 4
(b) 5
(c) 6
(d) 7

Solution:

(c) 6  is correct

The mean of x- 1, x + 1, x + 3 and x + 5 is…….

Solution:

(b) x + 2

The mean of five numbers is 30. If one number is excluded, their mean ….. The excluded number is……

Solution:

Let a,b,c,d and e are five numbers
mean = (a +b+ c+ d+e)/5 = 30
⇒ (a +b+ c+ d+e) = 150_______(1)
now, Let the number excluded be a
then, new mean =  (b+ c+ d+e)/4 = 28
⇒ (b+ c+ d+e)= 112
putting this value in (1),
⇒a + 112 = 150
⇒a = 150 -112 = 38
∴ excluded number = 38 is correct

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