Important:
The use of web sites and/or "online tutoring services" were you can post an assignment problem or question and receive an answer is strictly
You are advised to consult with your teammates and/or your instructor.
Problem 1:
“For the fol owing scores, find the (a) mean, (b) median, (c) sum of squared deviations, (d) variance, and (e) standard deviation:
2, 2, 0, 5, 1, 4, 1, 3, 0, 0, 1, 4, 4, 0, 1, 4, 3, 4, 2, 1, 0” (Aron, Aron, & Coups, 2009)
Problem #2:
“For the fol owing scores, find the (a) mean, (b) median, (c) sum of squared deviations, (d) variance, and (e) standard deviation:
1,112; 1,245; 1,361; 1,372; 1,472” (Aron, Aron, & Coups, 2009)
Problem #3:
“For the fol owing scores, find the (a) mean, (b) median, (c) sum of squared deviations, (d) variance, and (e) standard deviation:
3.0, 3.4, 2.6, 3.3, 3.5, 3.2” (Aron, Aron, & Coups, 2009)
Problem #4:
“Describe and explain the location of the mean, mode, and median of a distribution of scores that is strongly skewed to the left.” (Aron, Aron, & Coups, 2009)
Problem #5:
“You figure the variance of a distribution of scores to be -4.26. Explain why your answer cannot be correct.” (Aron, Aron, & Coups, 2009)
Problem #6:
“On a standard measure of hearing ability, the mean is 300 and the standard deviation is 20. Give the Z scores for persons who score (a) 340, (b) 310, and
Problem #7:
“A person scores 81 on a test of verbal ability and 6.4 on a test of quantitative ability. For the verbal ability test, the mean for people in general is 50 and the
standard deviation is 20. For the quantitative ability test, the mean for people in general is 0 and the standard deviation is 5. Which is this person’s stronger
ability: verbal or quantitative? Explain your answer to a person who has never had a course in statistics.” (Aron, Aron, & Coups, 2009)
Problem #8:
“You are conducting a survey at a col ege with 800 students, 50 faculty members, and 150 administrative staf members. Each of these 1,000 individuals
has a single listing in the campus phone directory. Suppose you were to cut up the directory and pul out one listing at random to contact. What
is the probability it would be (a) a student, (b) a faculty member, (c) an administrative staf member, (d) a faculty or administrative staf member, and
(e) anyone except an administrative staf member? (f) Explain your answers to someone who has never had a course in statistics.” (Aron, Aron, & Coups, 2009)
Problem #9:
Indicate which of the numbers below would qualify as measures of probability.
(a) 1
(d) 0.8
(g) 150%
(j) 1/4
(m) -0.5
(b) 3/5
(e) 5%
(h) 0.25
(k) 1.1
(n) 0.99
(c) 75%
(f) 108%
(i) 2
(l) -7/8
(o) 0
Problems 10, 11, 12, and 13 below refer to the "cognitive ability" scores for a sample of students:
Cognitive Ability
Relative Frequency
90
0.07
95
0.15
100
0.3
105
0.25
110
0.1
115
0.09
120
0.03
125
0.01
Total
1
Note: The relative frequency is an estimate of probability. Also, don’t forget to read
the subtopic entitled “Addition Rule” on pages 96-97 of our textbook (Aron, Aron, &
Coups, 2009, pp. 96-97).
Problem #10:
What is the estimated probability that a randomly selected student from the sample has a score that is more than 115?
Problem #11:
What is the estimated probability that a randomly selected student from the sample has a score that is 110 or more?
Problem #12:
What is the estimated probability that a randomly selected student from the sample has a score that is 105 or less?
Problem #13:
What is the estimated probability that a randomly selected student from the sample has a score that is less than 115?
Reference:
Week 3 Problems -
Due Week 3, Day 7 (Monday)
Post this assignment in the
Assignment
section as a Microsoft® Word or Microsoft® Excel at achment:
prohibited. This wil be considered cheating, which is a very serious academic offense
. The problems need to be worked out by you.
(c) 260. Give the raw scores for persons whose
Z
scores on this test are (d) 2.4, (e) 1.5, (f) 0, and (g) -4.5.” (Aron, Aron, & Coups, 2009)
Aron, A., Aron, E., & Coups, E. J. (2009).
Statistics for psychology (5th ed.).
Upper Saddle River, NJ: Pearson Education.