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 |
Average height (in cm) of the girls whose heights are 155 cm and above is about-
A. 158.7 cm
B. 159.8 cm
C. 160.4 cm
D. 162.6 cm
Answer: Option B
Solution(By Examveda Team)
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.
$$\eqalign{ & = \frac{157.5 \times 6 + 162.5 \times 5}{11} \cr & = \frac{945 + 812.5}{11} \cr & = \frac{1757.5}{11} \cr & = 159.8 \text{ cm} \cr}$$
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