Question

For a specific set of data, the mean is 135 and a standard deviation of 21. Find the Z score for a data point of 100.

a) -1.6667
b) -1.1905
c) -2.1429
d) -0.7143

Answer 1

The Z-score for a data point of 100 is -1.6667.

Step-by-step explanation:

To find the Z-score for a data point of 100 given a mean of 135 and a standard deviation of 21, we can use the formula:

Z = (x - mean) / standard deviation

Substituting the values, we get Z = (100 - 135) / 21 = -1.6667

Therefore, the Z-score for a data point of 100 is -1.6667.