Answer:
See below
Step-by-step explanation:
The formula for a z-score is
z = (x - µ)/σ where µ is the mean, and σ is the standard deviation.
We are given z = 2.8, µ = 17, and σ = 4. Plug them and and solve for x, which will be her point total..
2.8 = (x - 17)/4
11.2 = x - 17 (multiply both sides by 4 to get rid of the fraction)
28.2 = x (add 17 to both sides)
Yes, this score seems unusual. A z-score of 2.8 puts her in the higher tier of point scorers for the season. She scored 28.2 points in an entire season and was one of the highest scorers, so not many people are scoring points.
*Statistically, an unusual number is a number that is between 2 and 3 standard deviations above the mean. Sarah's score is
2.8 standard deviations above the mean, so by statistical definition, her score is unusual.
