The table shows the income (rupees lakh) and percentage profit of a company from 2017 to 2022.
| Year | Income | Profit (%) |
|---|---|---|
| 2017 | 120 | 7.5 |
| 2018 | 160 | 15 |
| 2019 | 130 | 22.5 |
| 2020 | 170 | 17.5 |
| 2021 | 190 | 20 |
| 2022 | 150 | 27.5 |
The median income of the company in the six years from 2017 to 2022 was
A155 lakh ✓ Correct
B150 lakh
C160 lakh
D153.33 lakh
Correct answer: (A) 155 lakh
Explanation
The median income is 155 lakh, so the answer is 155 lakh.
The median is the middle value once the data are arranged in order.
Sorting the incomes gives 120, 130, 150, 160, 170 and 190.
With six values, the median is the average of the third and fourth values.
The third and fourth values are 150 and 160.
Their average is 150 plus 160 over 2, which is 155.
For an even count of values the median always averages the two central terms, not just one.
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