Statistics Chapter 1


Name:

1.  What is an observation that does not seem to be in accord with the other values in the data?

A.   a stem
B.   quantitative score
C.   an outlier
D.   standardized

2.  A purchasing agent tests samples of 10 batteries for hand calculators from a certain manufacturer. Each battery is tested in a calculator that is programmed to do a continuous "loop" of typical calculations; the time in hours to failure of each battery is recorded in the table below.

Times:
11.80, 11.91, 11.95, 12.00, 12.02, 12.03, 12.04, 12.07, 12.13, 12.20

A.
11| 80, 91, 95
12| 00, 02, 03, 04, 07, 13, 20

B.
1| 1.80, 1.91, 1.95, 2.00, 2.02, 2.03, 2.04, 2.07. 2.13, 2.20

C.
1| 80, 91, 95
2| 00, 02, 03, 04, 07, 13, 20

D.
11.8| 0
11.9| 1, 5
12.0| 0, 2, 3, 4, 7
12.1| 3
12.2| 0


3.  From March 1981 to February 1983 the number of burglaries committed each month for a town in Georgia were recorded. They are given below.

MonthBurglaries
1 4
2 7
3 10
4 6
5 5
6 1
7 4
8 1
9 0
10 1
11 6
12 2
13 0
14 6
15 1
16 4
17 4
18 6
19 2
20 3
21 0
22 2
23 5
24 1
If we make a standard stemplot of the data, which of the following will be true?

A.   There will be only two stems.
B.   There will be at least 11 stems, counting the 0.
C.   The number of leaves will be the same for all stems.
D.   There will be more stems than leaves.

4.  Which of the following is a technique for improving a stemplot with very few stems but many leaves?

A.   using separate plots, one for each stem
B.   splitting stems
C.   merging stems
D.   merging leaves

5.  Which is the best option for the approximate center of the data represented in the following stemplot?

1| 6
2| 2 4 8 9
3| 0 1 1 2 3 4 5 6 7 8
4| 0 5 8
5| 0 1 8
6| 1

A.   24
B.   35
C.   45
D.   50

6.  To which data set does the following stemplot correspond?

1| 6
2| 2 4 8 9
3| 0 1 1 2 3 4 5 6 7 8
4| 0 5 8
5| 0 1 8
6| 1

A.   16, 22, 24, 28,29, 30, 31, 31, 32, 33, 34, 35, 36, 37, 38, 40, 45, 48, 50, 51, 58, 61.
B.   All the integers between 16 and 61.
C.   0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 8, 8, 8, 8, 9.
D.   1, 2, 3, 4, 5, 6.

7.  From March 1981 to February 1983 the number of burglaries committed each month for a town in Georgia were recorded. They are given below. Between months 12 and 13 a law was enacted requiring citizens to own a gun. Town officials felt this law might decrease the number of burglaries committed by acting to deter criminals.

MonthBurglaries
1 4
2 7
3 10
4 6
5 5
6 1
7 4
8 1
9 0
10 1
11 6
12 2
13 0
14 6
15 1
16 4
17 4
18 6
19 2
20 3
21 0
22 2
23 5
24 1
What is the mean of number of burglaries for all 24 months?

A.   3.375
B.   3.5
C.   12.5
D.   3.92

8.  What is the mean number of burglaries for months 1 to 12 only (i.e., those months before the law was enacted)?

A.   45
B.   2.83
C.   0.25
D.   3.92

9.  For the data above, what is the mean number of burglaries for months 13 to 24 (i.e., those months after the law was enacted)?

A.   0.35
B.   2.83
C.   34
D.   3.0

10.  A researcher reports that, on average, the participants in his study lost 10.4 lbs. after two months on his new diet. A friend of yours comments that she tried the diet for two months and lost no weight, so clearly the report was a fraud. Which of the following statements is correct?

A.   Your friend must not have followed the diet correctly, since she did not lose weight.
B.   Since your friend did not lose weight, the report must not be correct.
C.   The report only gives the average. This does not imply that all participants in the study lost 10.4 lbs. or even that all lost weight. Your friend's experience does not necessarily contradict the study results.
D.   In order for the study to be correct, we must now add your friend's results to those of the study and recompute the new average.

11.  What is the mean of the numbers 0, 4, 1, 50, 5?

A.   4
B.   25
C.   5
D.   12

12.  The mean age of 2 people in a room is 20 years. A 50 year-old person enters the room. What is now the mean age of the 3 people in the room?

A.   20
B.   30
C.   33.3
D.   35

13.  The Insurance Institute for Highway Safety publishes data on the total damage suffered by compact automobiles in a series of controlled, low-speed collisions. The following is a sample of the data in dollars, with brand names removed:
1000 600 800 1000

What is the mean?

A.   1000
B.   850
C.   700
D.   900

14.  The rental values (in dollars) of a sample of four available apartments close to the university are as follows: 470 600 580 550 What is the mean rental value of the four apartments?

A.   $565.00
B.   $567.50
C.   $550.00
D.   $595.00

15.  The numbers of new projects started each month at an advertising agency for the last six months are as follows: 2 5 3 3 6 3 What is the mean number of projects started per month over the last six months?

A.   4.40
B.   3.00
C.   4.00
D.   3.67

16.  What is the median of the numbers 0, 4, 1, 50, 5?

A.   4
B.   15
C.   50
D.   12

17.  The Insurance Institute for Highway Safety publishes data on the total damage suffered by compact automobiles in a series of controlled, low-speed collisions. The following is a sample of the data in dollars, with brand names removed:
1000 600 800 1000

What is the median of this data?

A.   1000
B.   850
C.   700
D.   900

18.  A sample of production records for an automobile manufacturer shows the following figures for production per shift:

705 700 690 705
What is the median of the above data?

A.   702.5
B.   700
C.   695
D.   705

19.  In a class of 100 students, the grades on a statistics test are summarized on the following frequency table:

Grade Frequency
91-100 11
81-90 31
71-80 42
61-70 16
In which of the following intervals is the median grade?

A.   61-70
B.   71-80
C.   81-90
D.   91-100

20.  A reporter wishes to portray baseball players as overpaid. Which measure of center should he report as the average salary of major league players?

A.   the mean
B.   the median
C.   either the mean or median, since they will be equal
D.   neither the mean nor median, since both will be much lower than the actual average salary


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