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
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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 : 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 number of girls whose height is above 150 cm is:
Option 1: 22
Option 2: 29
Option 3: 86
Option 4: 97
Question : Study the following table and answer the question:
| Height (in cm) | No.of Boys |
| Less than 150 | 20 |
| Less than 155 | 38 |
| Less than 160 | 52 |
| Less than 165 | 67 |
| Less than 170 | 82 |
| Less than 175 | 98 |
What is the number of boys whose height is less than 170?
Option 1: 67
Option 2: 98
Option 3: 82
Option 4: 52
Question : Refer to the following data table and answer the following Question.
| Boys | Girls | |
| Medical | 35 | 60 |
| Engineering | 40 | 40 |
What percent of students who chose Engineering are girls?
Option 1: 40
Option 2: 22.86
Option 3: 50
Option 4: 100
Question : The following table shows the number of children in each house of a society.
| Number of Children | Number of Houses |
| 0 | 4 |
| 1 | 10 |
| 2 | 19 |
| 3 | 3 |
What is the average number of children per house?
Option 1: 1.58
Option 2: 1.83
Option 3: 2.08
Option 4: 1.33
Question : Refer to the following data table and answer the question.
| India's exports in 2015 | Value in millions of US dollars |
| Jewellery | 550 |
| Software | 700 |
| Cotton | 875 |
| Steel | 775 |
| Electronics | 550 |
Exports of software were what percentage of total exports?
Option 1: 20.29%
Option 2: 22.79%
Option 3: 25.29%
Option 4: 17.79%
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