Class interval

7.5-12.5

12.5-17.5

17.5-22.5

22.5-27.5

27.5-32.5

frequency

3

10

p

8

2

 

Mean of the data 155 . find p.

Asked by jyotsnayadav14 | 17th Sep, 2016, 02:25: PM

Expert Answer:

begin mathsize 12px style Kindly space check space if space the space mean space in space the space question space that space you space have space asked space is space typer space correctly comma space cause
the space mean space has space to space lie space within space the space range space from space 7.5 space to space 32.5.
straight I space am space gonna space assume space that space the space mean space of space the space data space is space 15.5.

To space find space the space class space mark space left parenthesis straight x subscript straight i right parenthesis space for space each space interval comma space the space following space relation space is space used.
straight x subscript straight i equals fraction numerator upper space class space limit space plus space lower space class space limit over denominator 2 end fraction
Given space that space the space mean comma space straight x with bar on top equals space 15.5
Taking space 15.5 space as space apostrophe straight a apostrophe space that space is space the space assumed space mean comma space we space calculate space straight d subscript straight i space and space straight f subscript straight i straight d subscript straight i space as space follows. end style
 
 
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begin inline style end style begin inline style straight x with bar on top end style begin inline style equals end style begin inline style straight a end style begin inline style plus end style fraction numerator sum from blank to blank of straight f subscript straight i straight d subscript straight i over denominator sum from blank to blank of straight f subscript straight i end fraction begin inline style end style
begin inline style rightwards double arrow end style begin inline style 15 end style begin inline style. end style begin inline style 5 end style begin inline style space end style begin inline style equals end style begin inline style 15 end style begin inline style. end style begin inline style 5 end style begin inline style plus end style begin inline style space end style begin inline style fraction numerator 83.5 space plus space 4.5 straight p over denominator 23 space plus space straight p end fraction end style begin inline style end style
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begin inline style rightwards double arrow end style begin inline style 23 end style begin inline style space end style begin inline style plus end style begin inline style space end style begin inline style straight p end style begin inline style equals end style begin inline style 83 end style begin inline style. end style begin inline style 5 end style begin inline style space end style begin inline style plus end style begin inline style space end style begin inline style 4 end style begin inline style. end style begin inline style 5 end style begin inline style straight p end style begin inline style end style
begin inline style rightwards double arrow end style begin inline style 3 end style begin inline style. end style begin inline style 5 end style begin inline style straight p end style begin inline style equals end style begin inline style 60 end style begin inline style. end style begin inline style 5 end style begin inline style end style
begin inline style rightwards double arrow end style begin inline style straight p end style begin inline style almost equal to end style begin inline style 17 end style begin inline style. end style begin inline style 28 end style begin inline style end style begin inline style So end style begin inline style comma end style begin inline style space end style begin inline style straight p end style begin inline style space end style begin inline style is end style begin inline style space end style begin inline style approximately end style begin inline style space end style begin inline style 17 end style begin inline style. end style begin inline style 28 end style begin inline style. end style end style

Answered by Rebecca Fernandes | 17th Sep, 2016, 10:25: PM