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The average of 20 numbers is calculated as 35. It is dicovered later, that while calculating the average, one number, namely 85, was read as 45. The correct average is
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- 36.5
- 37
- 37.5
- 36
- 36.5
Correct Option: B
According to question ,
Correct sum of 20 numbers = 20 × 35 – 45 + 85
Correct sum of 20 numbers = 700 + 40 = 740
| ∴ Correct average = | = 37 | |
| 20 |
Second method to solve this question with the help of given formula :
Here, n = 20, m = 35 , a = 85, b = 45
| Correct mean = m + | |
| n |
| Correct mean = 35 + | = 35 + 2 = 37 | |
| 20 |
