Averages & Spread
Mean, median, weighted averages, and how spread out results are.
In your head, jot if needed · no calculator why?
Opens at level 12.
Lesson and untimed practice
Read the full lesson and try each skill without a clock. About 3 minutes to read.
skills · practice stats
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Median not tried yet
worked example
Four job values are $150, $250, $270, and $1,170. What is the median job value?
Answer: $260.00
- Sort them: $150, $250, $270, $1,170.
- With an even count, average the middle two: ($250 + $270) ÷ 2 = $260.
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Mean not tried yet
worked example
Five job values are $60, $70, $220, $260, and $390. What is the mean job value?
Answer: $200.00
- Total $1,000 ÷ 5 jobs = $200.
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Weighted average not tried yet
worked example
Eight jobs average $460 and seven jobs average $130. What is the average across all fifteen jobs?
Answer: $306.00
- Totals first: 8 × $460 = $3,680 and 7 × $130 = $910.
- $3,680 + $910 = $4,590; ÷ 15 jobs = $306.
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Standard deviation of three values not tried yet
worked example
Three jobs took 21, 35, and 49 hours. What is the sample standard deviation, in hours, dividing by n − 1?
Answer: 14 hours
- Mean 35. Squared gaps from the mean: 196 + 0 + 196 = 392.
- Divide by n − 1 = 2: 196. Square root: 14 hours.
rest ladder
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