First midterm exam – 1431/1432-2
Question #1:
(2 marks)
Explain whether each of the following constitutes a population or a
sample?
a. Number of TV’s owned by 50 families selected from Riyadh city.
b. 6 lectures from Engineering at Majmaah University selected for filling Opinion
poll.
c. Ages of all students of in Civil Engineering Department at Majmaah University.
d. Goals scored by all Football teams participated in World Cup 2006.
Question #4:
(4 marks)
The following data give the times (in minutes) taken to commute from home
to work for 20 workers.
10 50 69 33 46 5
26 32 19 8
11 23 39 26
15 19 29 44 21 22
Construct a stem-and-leaf display for these data. Arrange the leaves
for each stem in increasing order.
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First midterm exam – 1431/1432-2
Question #3:
(6 marks)
The following data give the amounts spent (in dollars) on refreshments by
30 spectators randomly selected from those who patronized the concession
stands at a recent Major League Baseball game.
8.00
25.00 8.00
5.80
4.00 2.99
9.00
15.00 9.00
3.00
5.65 21.00 16.00 18.00
21.77 12.35 7.75
4.85
10.00 3.00 28.00 8.35
19.00 11.65 11.45 3.00
6.00
17.70
6.55 16.00
Construct a frequency distribution table using the less than method to
write classes. Take $0 as the lower boundary of the first class and $6 as the
width of each class. Calculate the relative frequencies and percentages for
all classes. Use the data obtained to choose a correct histogram for the
frequency distribution.
Figure 1.
Figure 2.
Figure 4.
Figure (1)
2
Figure (4)
Figure 3.
Figure 5.
Figure (5)
Figure (3)
Figure (2)
First midterm exam – 1431/1432-2
Question #4:
(5 marks)
Use the data given in the table below to calculate the class limits, class
boundaries, midpoints and list the calculated relative frequencies and
percentages, all in one table. A table shows all the above.
101
245
120
155
199
249
371
274
290
167
391
272
383
289
450
640
572
384
625
269
362
482
187
476
591
276
287
375
138
479
171
296
710
680
564
582
473
357
386
270
380
181
175
285
570
490
783
666
777
291
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First midterm exam – 1431/1432-2
Question #5:
(3 marks)
The following table gives the frequency distribution of ages for all 50
employees of a company.
Age
Number of Employees
18 to 30
12
31 to 43
17
44 to 56
15
57 to 69
6
Select the correct drawing of an Ogive for the cumulative percentage distribution.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 1.
Figure 2.
Figure 3.
Figure 4.
Good Luck
Dr. SaMeH
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