Question

Two bowlers bruce and donald want to find out who has the higher three-game series when compared to each of their leagues. Bruce has a score of 500, and his league has a mean score of 620 and a standard deviation of 20. Donald has a score of 520, and his league has a mean of 625 and a standard deviation of 25. Who has the higher three-game series score when compared to each of their leagues?

A. Bruce.


B. Donald.


C. The scores are equal when compared to each of their leagues.

Answer 1

Donald

Explanation:

Given that :

BRUCE :

score (x) = 500

League average (m) = 620

Standard deviation (σ) = 20

DONALD:

score (x) = 520

League average (m) = 625

Standard deviation (σ) = 25

Take standardized score of both Bruce and Donald

BRUCE:

Zscore = (x - m) / σ

Zscore = (500 - 620) / 20

Zscore = - 120 / 20

Zscore = - 6

DONALD:

Zscore = (x - m) / σ

Zscore = (520 - 625) / 25

Zscore = - 105 / 25

Zscore = - 4.2

Bruce's standardized score is lesser Than Donald's. Hence,

Donald has a higher three-game series score ;