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Find the mean height of the students given in table.
Q:

Find the mean height of the students given in table.

0

Find the mean height of the students given in table.

 

Height in centimeters

Number of students

(Frequency)

 

101 – 110

111 – 120

121 – 130

131 – 140

141 – 150

151 – 160

 

 

8

15

24

40

10

3

 

Total

100

All Answers

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It appears that the mean value will lie the class 131-140.
The mid value (for class mark) of this interval is 135.5.
Take a = 135.5, the width of each interval is c = 10.

Height (cm)

Mid-class (x_i)

Frequency (f)

x_i  f_i

u=(x-135.5)/10

u f

101-110

105.5

8

844

-3

-24

111-120

115.5

15

1732.5

-2

-30

121-130

125.5

24

3012

-1

-24

131-140

135.5

40

5420

0

0

141-150

145.5

10

1455

1

10

151-160

155.5

3

466.5

2

6

Total

 

N =100

x_i f_i=12930

-

u f= -62

 

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