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Question
Study the following histogram and answer the questions given below:
In the given histogram, what is the mean height of all students correct to one decimal place?
Options
116.8 cm
114.7 cm
116.2 cm
115.6 cm
MCQ
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Solution
114.7 cm
Explanation:
| Class- interval |
Mid. Value (`x`) |
Frequency (`f`) |
`f.x` | Cumulative frequency |
| 100 – 105 | 102.5 | 11 | 1127.5 | 11 |
| 105 – 110 | 107.5 | 14 | 1505 | 25 |
| 110 – 115 | 112.5 | 17 | 1912.5 | 42 |
| 115 – 120 | 117.5 | 15 | 1762.5 | 57 |
| 120 – 125 | 122.5 | 13 | 1592.5 | 70 |
| 125 – 130 | 127.5 | 10 | 1275 | 80 |
| `sumf` = 80 | `sumf.x` = 9175 |
∴ Required mean = `(sumfx)/(sumf) = 9175/80` = 114.7 cm
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Data Interpretation (Entrance Exam)
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