Find the mean deviation about the mean for the data

Height in cms

Number of boys

95-105

9

105-115

13

115-125

26

125-135

30

135-145

12

145-155

10

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Solution

The following table is formed.

Height in cms

Number of boys f_i

Mid-point x_i

f_i x_i

95-105

9

100

900

25.3

227.7

105-115

13

110

1430

15.3

198.9

115-125

26

120

3120

5.3

137.8

125-135

30

130

3900

4.7

141

135-145

12

140

1680

14.7

176.4

145-155

10

150

1500

24.7

247

Here,

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Find the mean deviation about the mean for the data in Exercise 9 to 10

$\begin{matrix} Height in cm & 95 - 105 & 105 - 115 & 115 - 125 & 125 - 135 & 135 - 145 & 145 - 155 Number of boys & 9 & 13 & 26 & 30 & 12 & 10 \end{matrix}$

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Height in cms	Number of boys
95-105	9
105-115	13
115-125	26
125-135	30
135-145	12
145-155	10

Height in cms	Number of boys f_i	Mid-point x_i	f_i x_i
95-105	9	100	900	25.3	227.7
105-115	13	110	1430	15.3	198.9
115-125	26	120	3120	5.3	137.8
125-135	30	130	3900	4.7	141
135-145	12	140	1680	14.7	176.4
145-155	10	150	1500	24.7	247

Find the mean deviation about the mean for the data Height in cms Number of boys 95-105 9 105-115 13 115-125 26 125-135 30 135-145 12 145-155 10

The following table is formed. Height in cms Number of boys fi Mid-point xi fi xi 95-105 9 100 900 25.3 227.7 105-115 13 110 1430 15.3 198.9 115-125 26 120 3120 5.3 137.8 125-135 30 130 3900 4.7 141 135-145 12 140 1680 14.7 176.4 145-155 10 150 1500 24.7 247 Here,

Find the mean deviation about the mean for the data

Height in cms

Number of boys

95-105

9

105-115

13

115-125

26

125-135

30

135-145

12

145-155

10