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IM 3
a)
b)
c)
d)
e)
z-score
Name _______________
Find the outlier for each data set.
Determine the mean, median, mode, and range of the data set without the outlier.
Determine the mean, median, mode, and range of the data set with the outlier.
Describe the effect the outlier has on the mean, median, mode, and range.
Draw a modified box and whiskers plot for each data set.
1) 72, 32, 74, 66, 71, 45, 38, 49, 66, 69, 75, 34, 102
2) 23, 2, 5, 14, 25, 36, 27, 42, 12, 8, 7, 23, 29, 28, 11, 20, 31, 8, 36
3) 3, 6, 10, 11, 17, 18, 19, 20, 20, 23, 26, 28, 31, 33, 34, 37, 42, 45, 45, 50, 65, 72, 76, 97, 113
4) A normal distribution of scores has a standard deviation of 10. Find the z-scores corresponding to
each of the following values:
a) A score that is 20 points above the mean.
b) A score that is 10 points below the mean.
c) A score that is 15 points above the mean
d) A score that is 30 points below the mean.
5) Women’s heights have a mean of 63.6 in. and a standard deviation of 2.5 inches. Find the z score
corresponding to a woman with a height of 70 inches.
Let x be a random variable with a standard normal distribution. Use the area table for a standard normal
curve to find each probability.
6) P ( x  0.8)
7) P( x  0.2)
8) P ( x  1)
9) P(0.2  x  0.2)
10) P ( x  2.83)
11) P(1.74  x  1.02)
12) P(2.48  x  0.05)
13) P ( x  2)
14) P(3.11  x  1.44)