The table below shows the scores on a science test. John 75 Brett 80 Elizabeth 90 Cindy 100 Jake 75 Kenji 85 Rick 80 Joy 80 Raul 90 Suni 85 The number of standard deviations between a score and the mean score is indicated by a z-score. What was Cindy's z-score on the science test?

Question

Mathematics

Monserrat

28 February, 15:20

The table below shows the scores on a science test. John 75 Brett 80 Elizabeth 90 Cindy 100 Jake 75 Kenji 85 Rick 80 Joy 80 Raul 90 Suni 85 The number of standard deviations between a score and the mean score is indicated by a z-score. What was Cindy's z-score on the science test?

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Answers (1)

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Katie Robinson · Answer 1

Given that the data set below;

75,80,90,100,75,85,80,80,90,85

The mean will be given by:

μ = (75+80+90+100+75+85+80+80+90+85) / 10

μ=84

the standard deviation will be:

σ=7.35

The z-score is given by:

z = (x-μ) / σ

thus the z-score of Cindy will be:

z = (100-84) / 7.35

=2.18