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Direction (1 - 2): Study the table and answer the questions.
Height (in cm.) Numbers of Girls
Less than 140
Less than 145
Less than 150
Less than 155
Less than 160
Less than 165
4
11
29
40
46
51
1
Average height (in cm) of the girls whose heights are 155 cm and above is about-
Discuss
Answer & Solution
Take value of class interval 155 - 160 and 160 - 165 i.e. 157.5 and 162.5.
Multiply them by their respective frequency and then divide by total no. of girls.
$$\eqalign{ & = \frac{157.5 \times 6 + 162.5 \times 5}{11} \cr & = \frac{945 + 812.5}{11} \cr & = \frac{1757.5}{11} \cr & = 159.8 \text{ cm} \cr}$$
2
The number of girls whose height is above 150 cm is:
Discuss
Answer & Solution
Change into class interval
Height   No. of girls
135 - 140 . . . . . 04
140 - 145 . . . . . 07
145 - 150 . . . . . 18
150 - 155 . . . . . 11
155 - 160 . . . . . 06
160 - 165 . . . . . 05
∴ Required answer
= 11 + 6 + 5
= 22