INSTRUCTOR SOLUTION MANUAL FOR
ELEMENTARY STATISTICS 2 PRACTICE TEST
2026 FULL SOLUTIONS REVIEW PACK
◉ Solve the problem.
For the following data set, approximate the sample standard
deviation of phone calls per day.
8-11 18
12-15 23
16-19 38
20-23 47
24-27 32
2.9
18.8
3.2
5.1
Answer: 5.1
,◉ Solve the problem.
Find the range of the data set represented by the graph.
20
15
10
5
01234567
a) 20
b) 17
c) 6
d) 5
Answer: c) 6
◉ Solve the problem.
,Find the z-score for the value 70, when the mean is 76 and the
standard deviation is 2.
z= -.89
z= -3.00
z= .89
z= -3.50
Answer: z= -3.00
◉ Solve the problem.
The average IQ of students in a particular calculus class is 110, with
a standard deviation of 5. The distribution is roughly bell-shaped.
Use the Empirical Rule to find the percentage of students with an IQ
above 120.
2.5%
11.15%
15.85%
13.5%
Answer: 2.5%
◉ Solve the problem.
, The ages of 10 grooms at their first marriage are listed below. Find
the midquartile.
35.1 24.3 46.6 41.6 32.9 26.8 39.8 21.5 45.7 33.9
43.7
34.5
34.1
34.2
Answer: 34.2
◉ Solve the problem.
For the mathematics part of the SAT the mean is 514 with a standard
deviation of 113, and for the mathematics part of the ACT the mean
is 20.6 with a standard deviation of 5.1. Bob scores a 660 on the SAT
and a 27 on the ACT. Use z-scores to determine on which test he
performed better.
ACT
SAT
Answer: SAT
ELEMENTARY STATISTICS 2 PRACTICE TEST
2026 FULL SOLUTIONS REVIEW PACK
◉ Solve the problem.
For the following data set, approximate the sample standard
deviation of phone calls per day.
8-11 18
12-15 23
16-19 38
20-23 47
24-27 32
2.9
18.8
3.2
5.1
Answer: 5.1
,◉ Solve the problem.
Find the range of the data set represented by the graph.
20
15
10
5
01234567
a) 20
b) 17
c) 6
d) 5
Answer: c) 6
◉ Solve the problem.
,Find the z-score for the value 70, when the mean is 76 and the
standard deviation is 2.
z= -.89
z= -3.00
z= .89
z= -3.50
Answer: z= -3.00
◉ Solve the problem.
The average IQ of students in a particular calculus class is 110, with
a standard deviation of 5. The distribution is roughly bell-shaped.
Use the Empirical Rule to find the percentage of students with an IQ
above 120.
2.5%
11.15%
15.85%
13.5%
Answer: 2.5%
◉ Solve the problem.
, The ages of 10 grooms at their first marriage are listed below. Find
the midquartile.
35.1 24.3 46.6 41.6 32.9 26.8 39.8 21.5 45.7 33.9
43.7
34.5
34.1
34.2
Answer: 34.2
◉ Solve the problem.
For the mathematics part of the SAT the mean is 514 with a standard
deviation of 113, and for the mathematics part of the ACT the mean
is 20.6 with a standard deviation of 5.1. Bob scores a 660 on the SAT
and a 27 on the ACT. Use z-scores to determine on which test he
performed better.
ACT
SAT
Answer: SAT
