In: Statistics and Probability
The following data set represents the test scores of the freshmen on the first in a statistics course at a local university.
62 67 74 48 100 93 49 57 77 63 82 10 78 88 99 44 51 80 71 39 58 76 89 94 70 41 66 82 18 73
a. Calculate the z-score for the observation 63 and interpret it.
b. Find the median of the data set.
If the z-score for an observation is -1.22, the mean of the data set is 83, and the variance is 84, what is the value of the observation?