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Praxis Prep Statistics

Total questions: 20

Worksheet time: 53mins

Name
Class
Date
1.
The heights of the starting 5 players on a basketball team are 60 inches, 67 inches, 64 inches, and 65 inches.  If the mean or balance point of the players is 65, what is the height of the 5th player?
a)
70
b)
69
c)
61
d)
68
2.
How many students scored more than 80%?
a)
10
b)
13
c)
7
d)
15
3.
What do you do if there are two numbers in "the middle" when you are finding the median?
a)
Pick your favorite number
b)
Add the two numbers in the middle & then divide by two.
c)
They are both the median
d)
None of the above
4.
Find the class grade for a student with grades: Test 89%, Quiz 92, Homework 86%, and Classwork 95%.
Tests are 60% of the grade, Quiz 15%, Homework is 10% of the grade, and Classwork is 15% of the grade.
a)
89.25
b)
91.55
c)
90.05
d)
i don't know
5.
If the lowest 25% of test scores must retest, which range represents those who must retest?
a)
57-76
b)
76-86
c)
86-92
d)
92-100
6.
About 50 % of the data values are greater than what value?
a)
12
b)
15
c)
22
d)
31
7.
True of false, 75% of the data values are greater than 18?
a)
True
b)
False, 75% of the values are greater than 16
c)
False, 50 % of the values are greater than 18
d)
False, 25% of the values are greater than 18
8.

What is the standard deviation for the data given:

{12, 13, 29, 18, 61, 35, 21}

a)

293.67

b)

15.87

c)

17.14

d)

41.98

9.
All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?
a)
1
b)
2
c)
3
d)
4
10.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
11.

Given a variance of 64, what is the standard deviation?

a)

8

b)

4096

c)

0

d)

6.8

12.

What is the purpose of z-scores?

a)

to describe the exact location of a score within a distribution

b)

to find the mean of the distribution

c)

to describe the shape of the distribution

d)

to find the standard deviation of the distribution

13.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
 28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
14.

In a normal distribution, what percent of the values lie within one standard deviation of the mean?

(from z = -1 to z = 1)

a)

13.5%

b)

34%

c)

95%

d)

68%

15.

2000 freshmen at State Univ. took a Biology test. The scores were distributed normally with μ=70 and σ=5.

What percent of scores are between 65 and 75?

a)

34%

b)

50%

c)

68%

d)

81.5%

16.

What percent of people are 3 standard deviations above the mean?

a)

.15

b)

34

c)

68

d)

2.35

17.

What percent of people are 2 standard deviations or more above the mean?

a)

2.35

b)

34

c)

68

d)

2.5

18.

A large sample has mean of 7.1 and Standard Error of 2.3.


Construct a 90% Confidence Interval for the population mean µ (to two decimal places).

a)

(3.32, 10.88)

b)

(3.8, 7.1)

c)

(3.3, 10.9)

d)

(3.3165, 10.8835)

19.

An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of 10. It is desired to construct a 90% confidence interval for the mean IQ scores of the students at the college.


What is the point estimate?

a)

75

b)

105.2

c)

10

d)

0.90

20.

The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 1994, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2003, rounded to the nearest whole number.

a)

974

b)

25,101

c)

940

d)

952