To determine Christopher's performance, we need to calculate his z-score. The z-score is a measure of how many standard deviations an element is from the mean.

The formula for the z-score is:

Z = (X - μ) / σ

where:
X is the raw score,
μ is the population mean,
σ is the standard deviation.

Substituting the given values:

Z = (37 - 35) / 4 = 0.5

A z-score of 0.5 means that Christopher's score is 0.5 standard deviations above the mean.

Looking at the options:

a. Below average - This would mean his z-score is less than 0, which is not the case.
b. Above average - This is correct, as his z-score is greater than 0.
c. Average - This would mean his z-score is 0, which is not the case.
d. Excellent - This is typically associated with a much higher z-score.

So, the best description of Christopher's performance is "Above average".

Question

To determine Christopher's performance, we need to calculate his z-score. The z-score is a measure of how many standard deviations an element is from the mean.

The formula for the z-score is:

Z = (X - μ) / σ

where:
X is the raw score,
μ is the population mean,
σ is the standard deviation.

Substituting the given values:

Z = (37 - 35) / 4 = 0.5

A z-score of 0.5 means that Christopher's score is 0.5 standard deviations above the mean.

Looking at the options:

a. Below average - This would mean his z-score is less than 0, which is not the case.
b. Above average - This is correct, as his z-score is greater than 0.
c. Average - This would mean his z-score is 0, which is not the case.
d. Excellent - This is typically associated with a much higher z-score.

So, the best description of Christopher's performance is "Above average".

Knowee AI · Accepted Answer

To determine Christopher's performance, we need to calculate his z-score. The z-score is a measure of how many standard deviations an element is from the mean.

The formula for the z-score is:

Z = (X - μ) / σ

where:
X is the raw score,
μ is the population mean,
σ is the standard deviation.

Substituting the given values:

Z = (37 - 35) / 4 = 0.5

A z-score of 0.5 means that Christopher's score is 0.5 standard deviations above the mean.

Looking at the options:

a. Below average - This would mean his z-score is less than 0, which is not the case.
b. Above average - This is correct, as his z-score is greater than 0.
c. Average - This would mean his z-score is 0, which is not the case.
d. Excellent - This is typically associated with a much higher z-score.

So, the best description of Christopher's performance is "Above average".

Teacher JM gives 40-item test in Mathematics where the mean performance of the group is 35 and the standard deviation is 4. Christopher obtained a score of 37. Which of the following best described his performance?*1 pointa. Below averageb. Above averagec. Averaged. d. Excellent

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