Consider a set of data in which the sample mean is 36.5
and the sample standard deviation is 6.6
. Calculate the z-score given that x=29.2
. Round your answer to two decimal places.
To calculate the z-score, we use the formula:
z = (x - mean) / standard deviation
Plugging in the values:
z = (29.2 - 36.5) / 6.6
z = -7.3 / 6.6
z = -1.11
Therefore, the z-score for x=29.2 in this data set is -1.11 rounded to two decimal places.