Question : Direction: Study the table and answer the question.
| Height (in cm) | Number of girls |
| less than 140 | 4 |
| less than 145 | 11 |
| less than 150 | 29 |
| less than 155 | 40 |
| less than 160 | 46 |
| less than 165 | 51 |
The average height (in cm) of the girls whose heights are 155 cm and above is about:
Option 1: 158.7
Option 2: 159.8
Option 3: 160.4
Option 4: 162.6
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: 159.8
Solution :
As per the given table,
There are 40 girls with a height of less than 155 cm.
The number of girls with a height of 155 cm and above = 51 – 40 = 11
Assuming that the heights of the girls are uniformly distributed in each interval.
We can estimate the average height of these 11 girls.
6 girls are in the interval 155 cm to 160 cm.
$\therefore$ The average height in this interval = $\frac{155 + 160}{2}$ = 157.5 cm
5 girls are in the interval 160 cm to 165 cm.
$\therefore$ The average height in this interval = $\frac{160 + 165}{2}$ = 162.5 cm
The average height of the girls whose heights are 155 cm and above = $\frac{6 × 157.5 + 5×162.5}{11}$ = 159.8 cm
Hence, the correct answer is 159.8.
Related Questions
Question : The following table shows the number of children in each house of a society.
| Number of Children |
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
