Download Ch 13 Review Test #4 MGF1106 1. Calculate the following statistics

Ch 13 Review
Test #4
MGF1106
1. Calculate the following statistics for the given data
42
40
43
44
49
43
30
33
54
52
a) Mean
b) Median
c) Mode
d) Range
e) Midrange f) Standard Deviation
g) What value would you have to add to this data to make the mean become 50?
2. For the DATA
30
32
36
38
39
40
44
46
48
52
53
54
55
57
58
60
60
60
63
67
68
70
72
72
72
74
76
78
78
78
80
82
84
86
88
92
a) Construct a frequency distribution with the first class 30-38.
b) Construct a histogram
c) Assuming the data is continuous, construct a frequency polygon.
d) Construct a stem-leaf plot
50
62
78
98
3. If the following data represents the weekly salary statistics for the Lee-Sue Canning Co.
3rd Quartile=$400
Mean=$380 Mode=$375 1st Quartile=$320
Median=$350 SD=$40
2nd quartile=$350
a) What salary was surpassed by 50% of the employees?
b) What salary is 1 ½ standard deviations above the mean?
c) What salary is 1 ¾ standard deviations below the mean?
d) What is the most common salary?
e) What percent of the employees earned less than $350?
f) What percent earned less than $400?
g) What salaries are between 0.5 standard deviations below the mean and 2 SD above the mean?
4.
a) What happens to the mean if you add 50 to each score in a set of data?
b) What happens to the range if you multiply each score in a set of data by 20?
c) What happens to the mode if you multiply each score in a set of data by 50?
d) What happens to the standard deviation if you subtract 10 from each score in a set of data?
5. To pass a course, a mean of 60 on 7 tests is needed. Joy scores 42, 72, 80, 67, 57, and a 69.
a) What does Joy need to make on the next test to pass?
b) To get a C, a mean of 70 is needed. Can Joy make a C? If so, what must she make?
c) If the lowest grade is dropped, what must she make on the next test to pass?
6. Name the type of sampling performed in each of the following.
a) Samples are chosen from intact MGF1106 classes.
b) Every 50th student who registers is sampled.
c) A sample is chosen by insuring appropriate representation by sex, age, and political affiliation.
7. The height of fully grown redwood trees are normally distributed with a mean of 270 ft. and a
standard deviation of 30 ft. Find the percent of the redwood trees that are
a) Greater than 270 ft
b) Less than 275 ft tall
c) Between 280 and 290 ft tall
d) Between 220 and 310 ft tall
e) Greater than 285 ft tall