Please Subscribe to this Channel for more solutions and lectures http://www.youtube.com/onlineteaching Elementary Statistics Practice Test 1 Module 1: Chapters 1-3 Chapter 1: Introduction to Statistics. Chapter 2: Exploring Data with Tables and Graphs. Chapter 3: Describing, Exploring, and Comparing Data.

1. 1
Statistics, Sample Test (Exam Review)
Module 1: Chapters 1, 2 & 3 Review
Chapter 1: Introduction to Statistics
Chapter 2: Exploring Data with Tables and Graphs
Chapter 3: Describing, Exploring, and Comparing Data
Chapter 1: Introduction to Statistics
1. True or False: The value of variance and standard deviation is never negative.
True – these are absolute quantities that is a measure of variation of all values from the
mean (it can be zero)
2. What kind of variable “weights of bears” is? Quantitative or Qualitative
3. What kind of variable “gender of bears” is? Quantitative or Qualitative
4. Define a population in statistics.
5. The value of the middle term in a ranked data set is called
6. Given any data, how do you find the mode?
7. True or False: The “number of chairs” is considered to be a continuous variable.
8. What is a Pareto chart? What does each axis represent?
9. Define a parameter and a statistic.
10. Define random sample and simple random sample.
11. Define the following types of sampling: systematic, convenience, stratified, cluster
12. What are different levels of measurement of data? Give examples.
13. What’s the difference between an observational study and an experiment? Give
examples.
14. Describe Cross Sectional, Retrospective, and Prospective Studies. Give examples.
15. What is Sampling Error, Non-sampling Error, and Nonrandom Sampling Error?
16. What are some characteristics of an Experiment?
17. Explain some Misuses of Statistics.

2. 2
Statistics, Sample Test (Exam Review)
Module 1: Chapters 1, 2 & 3 Review
Chapter 2: Exploring Data with Tables and Graphs
1. Given the frequency table, answer the following questions.
Age group Frequency
11-20 5
21-30 6
31-40 9
41-50 11
51-60 4
a. The number of classes in the table is 5 [number of statistical age groups defined]
b. The class width is
c. The midpoint of the 4th
class is
d. The Lower Boundary of the 5th
class is
e. The Upper Limit of the 1st
class is
f. The sample size is
g. The relative frequency of the 1st
class is
h. Find the modal class, and the mode.
2. The following frequency table describes the speeds of drivers ticketed through a 30-mph
speed zone.
Speed Frequency (number of drivers)
42-45 25
46-49 14
50-53 7
54-57 3
58-61 1
a) Calculate the relative frequencies for all classes.
b) What percentage represents the speed of 53 mph or less?
c) What are the class boundaries?

3. 3
d) Construct a histogram corresponding to the frequency distribution table.
3. The following frequency table describes the speeds of drivers ticketed through a 30-mph
speed zone.
Speed Frequency (number of drivers)
42-45 25
46-49 14
50-53 7
54-57 3
58-61 1
a. Prepare the cumulative frequency distribution.
b. Prepare the cumulative relative frequency distribution.
c. Draw an ogive of the cumulative percentage distribution.
d. Using the ogive find the percentage of drivers who drove 47 mph or less.
4. Given the following sample.
Sample: The ages of forty tenured faculty at CSULB (n = 40 ages)
Age Sample Dataset
45 59 51 62 58 54 42 59 49 47 52 63 40 53 61 47 54 58 53
32 61 39 51 37 43 53 46 56 58 48 55 50 57 60 54 63 60 55
a. Construct a dotplot.
b. Construct a Stemplots (Stem and Leaf Plot).
Statistics, Sample Test (Exam Review)
Module 1: Chapters 1, 2 & 3 Review
Chapter 3: Describing, Exploring, and Comparing Data
1. The following data gives the number of hours that a few employees at the GM factory
worked last week.
17, 38, 27, 14, 18, 34, 16, 42, 28, 24, 40, 20, 23, 31, 37, 21, 30, 25
a) Find the mean
b) Find the mode
c) Find the median.

4. 4
d) Find the midrange.
e) Find the range
f) Find the variance.
g) Find the standard deviation.
h) Find the interquartile range (IQR).
2. IQ scores have a mean of 100 and a standard deviation of 15.
a. Find the coefficient of variance.
b. Using the range rule of thumb to establish the minimum and maximum “usual” IQ
scores.
c. Using the Chebyshev’s Theorem, find what is the least percentage of those who will
have an IQ score of 70 to 130.
d. Using the empirical rule, find the percentage of those who will have an IQ score of
70 to 130.
3. Given the following set of data: 32, 19, 14, 7, 15, 3, 4, 5, 9, 16, 15, 16, 19, 50
a. Rank the data from smallest to largest.
b. Prepare a box-and-whisker plot. [Box plot]
c. Does this data set contain any outliers? [Make sure to show the lower and the upper
fences on your graph]
d. Are the data symmetric or skewed? [If skewed, are they skewed left, or right?]
4. Draw the box-and-whisker plot for the following data set:
77, 79, 80, 86, 87, 87, 94, 99
5. Answer the following:
a. If the mean of a set of data is 23.00, and 12.60 has a z-score of –1.30, then the
standard deviation must be:
a. A) 4.00 B) 32.00 C) 64.00 D) 8.00
b. Find the z score for each student and indicate which one is higher.
a. Art
Major
b. 𝒙 =
𝟒𝟔
c. 𝒙
̅ =
𝟓𝟎, 𝒔 =
𝟓
d. Theatre
Major
e. 𝒙 =
𝟕𝟎
f. 𝒙
̅ =
𝟕𝟓, 𝒔 =
𝟕

5. 5
6. Answer the following:
a. If the five-number summary for a set of data is 0, 3, 6, 7, and 16, then the mean of
this set of data is
A. 6 B. There is insufficient information to calculate the mean C. 8 D. 5
b. Which of the following is true?
𝑎. 𝐷50 = 𝑃5= 𝑄25 𝑏. 𝐷5 = 𝑃50= 𝑄2
𝑐. 𝐷50 = 𝑃5= 𝑄2 𝑑. 𝐷5 = 𝑃5= 𝑄5
7. A student received the following grades: An A in Statistics (4 credits), a F in Physics II (5
credits), a B in Sociology (3 credits), a B in a Literature seminar (2 credits), and a D in
Tennis (1 credit). Assuming A = 4 grade points, B = 3 grade points, C = 2 grade points,
D = 1 grade point, and F = 0 grade points, what is the student's grade point average/
8. Given the following data set, find the value that corresponds to the
a. 75th percentile.
b. 30th percentile.
c. Find the percentile corresponding to number 44.
d. Using range Rule of Thumb, estimate the standard deviation.
10, 44, 15, 23, 14, 18, 72, 56
9. The following data representing numbers of keyboards assembled for a sample of 25 days
in a company:
45 52 48 41 56 46 44 48 53 51 53 51
48 46 43 52 50 54 47 44 47 50 49 52
42
a. Construct a frequency distribution table with 4 classes.
b. Use the data to find the mean.
c. Use the frequency distribution to find the mean.
d. Are the two means reasonably close?