Question

In a dataset with a mean of 15.158 and a standard deviation of 7.4, what is the Z-score for a data value of 25?

A) Z-score = 1.628
B) Z-score = 1.214
C) Z-score = 1.873
D) Z-score = 2.165

Answer 1

The Z-score for a data value of 25 in a dataset with a mean of 15.158 and a standard deviation of 7.4 is approximately 1.3255.

Step-by-step explanation:

A Z-score, also known as a standard score, measures how many standard deviations a data value is away from the mean of a dataset. To calculate the Z-score for a data value, we can use the formula:

Z = (x - μ) / σ

where:

• Z is the Z-score
• x is the data value
• μ is the mean of the dataset
• σ is the standard deviation of the dataset

In this case, the data value is 25, the mean is 15.158, and the standard deviation is 7.4. Substituting these values into the formula, we get:

Z = (25 - 15.158) / 7.4 = 1.3255

Therefore, the Z-score for a data value of 25 is approximately 1.3255.