The average of first five prime numbers greater than 20 is____________?
Correct answer: D. 32.2
- A. 31.00
- B. 31.01
- C. 32.00
- D. 32.2
Explanation
The first five prime numbers greater than 20 are 23, 29, 31, 37 and 41. Their sum is 23 + 29 + 31 + 37 + 41 = 161, so their average is 161/5 = 32.2. The likely mistake is choosing 32 by rounding the exact average to the nearest whole number.
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An average represents the total of a set of values divided by the number of values, and a weighted average gives different importance to different groups. Problems involve missing values, combined averages, replacement of observations, and changes in the average, so the total and count must be tracked separately.
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