Question 1:
The following scores were obtained by a university professor on an English exam
| 48 |
52 |
77 |
46 |
60 |
57 |
92 |
75 |
| 57 |
52 |
72 |
78 |
72 |
62 |
46 |
70 |
| 74 |
90 |
67 |
51 |
55 |
46 |
79 |
66 |
| 57 |
76 |
53 |
68 |
55 |
73 |
83 |
85 |
| 47 |
78 |
61 |
70 |
82 |
78 |
69 |
50 |
| 68 |
69 |
76 |
81 |
84 |
79 |
64 |
72 |
| 48 |
56 |
82 |
71 |
93 |
72 |
56 |
78 |
| 76 |
73 |
49 |
78 |
63 |
54 |
72 |
76 |
a. "Construct a frequency distribution table of the scores having approximately 10 class intervals. The table must include the following:
Class intervals, Real Limits, Tally, frequency, Relative Frequency, Cumulative frequency, and Cumulative frequency percentage"
b. Using the frequency distribution created in part a, construct a histogram
c. Using the frequency distribution created in part a, construct a cumulative percentage curve. Use your curve to determine the percentage of scores that fall below a value of 55.
d. Describe the data
Question 2:
A social psychologist interested in the dating habits of college undergraduates, samples 16 students and determines the number of dates they have had in the last six months. See scores below
| 1 |
8 |
9 |
3 |
0 |
7 |
4 |
5 |
| 0 |
10 |
5 |
4 |
0 |
2 |
3 |
8 |
Compute the following:
a. Arithmetic mean
b. Median
c. Mode
d. Range
e. Standard deviation (s)
f. Variance (s2)
g. Which measure of central tendency best describe the dating scores? Explain your choice.
Question 3:
From the following distributions, state whether you would use the mean, mode, or the median to present the central tendency of the distribution. Explain Why?
i) 6, 3, 4, 32, 2, 7, 9
ii) 23, 21, 14, 10, 12, 18
iii) 0.5, 2.1, 0.9, 1.7, 1.2, 1.8, 2.4
iv) 1, 2, 1, 7, 2, 3, 1, 3, 2, 5, -1, 1, 1, 4