The set of scores has a mean of 5 and a standard deviation of 2. The score which corresponds to a z score of -2.0 is 1.
Given in the question,
Mean (m) = 5
Standard deviation σ =2
Z-score = -2
The score x,
= Z = x - m / σ
= -2 = x - 5 / 2
= -4 = x - 5
= x = 1
Standard deviation in statistics means the amount of dispersion or variations in the set of values. A lower standard deviation means the value is closer to the mean while a higher standard deviation means the value is farther away from the mean.
To learn more about standard deviation, mean, median, and mode,
