If the mean of 10 numbers is 9, what is their collective sum__________________?
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Answer: D. 90
Explanation
The arithmetic mean is calculated by dividing the collective sum by the total count. Multiplying the given mean by the number of observations yields the total sum. Therefore multiplying nine by ten gives a collective sum of ninety. The sum formula is the foundational building block for calculating various statistical averages. Data integrity checks often verify sums against reported means to catch rounding errors. Multiplication reverses the division process used to find the original arithmetic mean.
Accountants use total sums derived from averages to balance financial ledger reports. Teachers multiply class average test scores by student counts to find total point totals. Researchers verify summary statistics in published studies by checking sums against means. Nine ignores the frequency count and simply repeats the given mean value. Zero point nine incorrectly divides the mean by the observation count instead of multiplying. Seventy underestimates the correct product of nine and ten by twenty units.
- Subject
- Mathematics
- Category
- Statistics
- Topic
- —
- Difficulty
- medium
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