Question

A stugy was conducted to find information on the heights of moe The data was found to be with 60 in and a standard deviation of 23 in. is a jockey's have a helght of 58 ?

A. 0.87
B. -0.87
C. -2
D. 0.5

Answer 1

The jockey's height of 58 inches is shorter than average based on the given data of the study.

Step-by-step explanation:

The question asks whether a jockey's height of 58 inches is within the range of heights found in a study with a mean of 60 inches and standard deviation of 23 inches. To determine this, we can calculate the z-score of 58 inches using the formula z = (x - mean) / standard deviation. Substituting the values, we get z = (58 - 60) / 23 = -0.0870. A z-score measures the number of standard deviations a data point is from the mean. In this case, the jockey's height is approximately -0.0870 standard deviations below the mean. Since the z-score is negative, we can conclude that the jockey's height is shorter than average.