Probability & Statistics
Name________________________
HW2: Day 1: Draw the box plots.
Day 2: Find any outliers for each data set.
1.
2.
3.
4.
5.
21, 23, 27, 32, 38, 42, 80
Day 1:
Day 2:
2, 18, 21, 20, 19, 22, 23, 35
Day 1 :
Day 2:
6, 8, 12, 15, 18, 22, 22, 25, 27, 27, 28, 29
Day 1 :
Day 2:
6, 8, 22, 27, 29, 35, 42, 53, 70
Day 1 :
Day 2:
16, 95, 87, 120, 122, 137, 138, 140, 195
Day 1:
Day 2:
The Empirical Rule.........
1. Using the Empirical rule, solve the following problems for a distribution with a mean of 50 and a
standard deviation of 5.
a. At least what percentage of values will fall between 45 and 55?
b. At least what percentage of values will fall between 35 and 65?
2. The mean of a distribution is 20 and the standard deviation is 2. Answer each using the Empirical
rule.
a. At least what percentage of the values will fall between 16 and 24?
b. At least what percentage of the values will fall between 14 and 26?
3. A sample of the hourly wages of employees who work in restaurants in a large city has a mean of
$5.02 and a standard deviation of $0.09. Using the Empirical rule, find the range in which at
least 95% of the data values will fall.
4. The average score on a special test of knowledge of wood refinishing has a mean of 53 and a
standard deviation of 6. Using the Empirical rule, find the values in which at least 68% of the data
values will fall.
.