Consider a sample with 10 observations of 2, 13, 9, –2, 1, 13, 0, 8, –5, and 13.
ID: 3201845 • Letter: C
Question
Consider a sample with 10 observations of 2, 13, 9, –2, 1, 13, 0, 8, –5, and 13. Use z-scores to determine if there are any outliers in the data; assume a bell-shaped distribution. (Round your answers to 2 decimal places. Negative values should be indicated by a minus sign.)
Consider a sample with 10 observations of 2, 13, 9, –2, 1, 13, 0, 8, –5, and 13. Use z-scores to determine if there are any outliers in the data; assume a bell-shaped distribution. (Round your answers to 2 decimal places. Negative values should be indicated by a minus sign.)
Explanation / Answer
Solution:
We have total 10 observations.
Smallest observation = -5
Largest observation = 13
Mean = 4.333333
SD = 6.595453
Z score formula is given as below:
Z = (X – mean) / SD
Z score for smallest observation
Z = (-5 - 4.333333) / 6.595453
Z = -1.42
Z score for largest observation
Z = (13 - 4.333333) / 6.595453
Z = 1.31
There are no outliers in the data.
(Because, both Z scores lie between -3 and 3)