Name: 
 

Math 11 Foundations LG 11-12 Practice Quiz #1



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Environment Canada compiled data on the number of lightning strikes per square kilometre in Alberta and British Columbia towns from 1999 to 2008.
0.42      0.04      0.81      0.40      0.03      0.74
0.28      0.03      0.70      0.23      0.03      0.66
0.13      0.02      0.61      0.12      0.01      0.58
0.10      0.00      0.49      0.07      1.08      0.43
0.05      0.91      0.42      0.04      0.88

What value goes in the fourth row of this frequency table?
Lightning Strikes (per square kilometre)


Frequency
0.00–0.19
13
0.20–0.39
2
0.40–0.59
6
0.60–0.79
 
0.80–0.99
3
1.00–1.19
1
a.
3
b.
5
c.
4
d.
6
 

 2. 

Which histogram represents the following test scores?
Geography Test 1 Scores (our of 100)
98      83      81      74      62
94      83      78      72      61
92      82      77      72      55
89      82      75      66      53
84      82      75      62      44
a.
mc002-1.jpg
b.
mc002-2.jpg
c.
mc002-3.jpg
d.
mc002-4.jpg
 

 3. 

Which histogram represents the following test scores?
Geography Test 4 Scores (our of 100)
98      82      75      66      62
95      81      72      64      58
92      80      72      62      55
85      76      72      62      55
85      75      67      62      41
a.
mc003-1.jpg
b.
mc003-2.jpg
c.
mc003-3.jpg
d.
mc003-4.jpg
 

 4. 

The range of a set of data is 7.5 and the minimum value is 2.8.
To display this data in a histogram, Yul chose intervals of 1.5 starting with 2.5–3.9.
How many intervals will his histogram have?
a.
7
b.
5
c.
4
d.
6
 

 5. 

A set of data is normally distributed. What percent of the data is greater than the mean?
a.
about 95%
b.
100%
c.
about 68%
d.
about 50%
 

 6. 

The ages of participants in a bonspiel are normally distributed, with a mean of 40 and a standard deviation of 10 years. What percent of the curlers are between 20 and 30?
a.
17.5%
b.
13.5%
c.
27%
d.
32%
 

 7. 

A teacher is analyzing the class results for a physics test. The marks are normally distributed with a mean (µ) of 76 and a standard deviation (s) of 4.
Determine Guy’s mark if he scored µ + 2s.
a.
80
b.
72
c.
84
d.
68
 

 8. 

A teacher is analyzing the class results for a physics test. The marks are normally distributed with a mean (µ) of 76 and a standard deviation (s) of 4.
Determine Ram’s mark if he scored µ – 2.5s.
a.
73.5
b.
66
c.
70
d.
79.5
 

 9. 

Determine the z-score for the given value.
µ = 52, s = 6, x = 64
a.
–2
b.
0.5
c.
–0.5
d.
2
 

 10. 

Determine the percent of data to the right of the z-score: z = –0.08.
a.
78.81%
b.
46.81%
c.
21.19%
d.
53.19%
 

 11. 

Determine the percent of data between the following z-scores:
z = –2.25 and z = 1.75.
a.
95.99%
b.
94.77%
c.
93.55%
d.
97.23%
 

 12. 

A poll was conducted about an upcoming election. The results are considered accurate within ±2.7 percent points, 19 times out of 20.
State the confidence level.
a.
19%
b.
95%
c.
99%
d.
90%
 

 13. 

A poll was conducted about an upcoming election. The result that 44% of people intend to vote for one of the candidates is considered accurate within ±2.7 percent points, 19 times out of 20.
State the confidence interval.
a.
41.3%–44%
b.
42.65%–45.35%
c.
44%–46.7%
d.
41.3%–46.7%
 

 14. 

A poll was conducted about an upcoming election. The result that 54% of people intend to vote for one of the candidates is considered accurate within ±7.1 percent points, 19 times out of 20.
State the confidence interval.
a.
46.9%–61.1%
b.
54%–61.1%
c.
47.1%–60.9%
d.
46.9%–54%
 

 15. 

The results of a survey have a confidence interval of 4.8% to 7.2%, 19 times out of 20.
Determine the margin of error.
a.
±2.4%
b.
±1.4%
c.
±0.7%
d.
±1.2%
 

Short Answer
 

 16. 

Four groups of students recorded their pulse rates after a 2 km run.
Group 1
126
168
158
192
146
166
104
164
116
138
172
136
152
128
Group 2
158
132
156
160
108
150
178
136
172
140
126
154
130
160
Group 3
136
174
156
176
150
166
142
156
130
182
180
166
148
172
Group 4
144
150
142
152
174
176
118
152
178
164
128
158
158
166

Determine the standard deviation of Group 1, to one decimal place.
 

 17. 

A poll was conducted about an upcoming election. The results are considered accurate within ±2.8 percent points, 19 times out of 20.
State the confidence level.
 

 18. 

In a recent survey of high school students, 65% of those surveyed said they would vote for Chuck as student council vice president. The survey is considered accurate to within 8.2 percent points, 19 times out of 20.
If a high school has 2000 students, state the range of the number of votes Chuck should expect.
 

Problem
 

 19. 

Four groups of students recorded their pulse rates after a 2 km run.
Group 1
126
168
158
192
146
166
104
164
116
138
Group 2
158
132
156
160
108
150
178
136
172
140
Group 3
136
174
156
176
150
166
142
156
130
182
Group 4
144
150
142
152
174
176
118
152
178
164

a) Make a frequency table with five intervals to organize the pulse rates. Show what you did.
b) Which range of pulse rates occurs most frequently? Which occurs least frequently?
 

 20. 

Andrea and Raj are trying to control the number of text messages they send. They record the number they send every day in April.
Andrea: 22, 21, 24, 20, 31, 19, 13, 23, 16, 12, 17, 15, 14, 11, 8, 24, 19, 14, 19, 27, 22, 26, 25, 20, 24, 18, 28, 12, 18, 22
Raj: 12, 8, 9, 3, 2, 12, 33, 28, 32, 28, 29, 13, 16, 14, 30, 26, 31, 32, 32, 13, 16, 26, 18, 32, 26, 9, 10, 2, 8, 16

Compare the two sets of data using a frequency polygon with seven intervals.
 

 21. 

A hardware-supplies company takes a random sample to check the lengths of lag bolts. For a sample of 100 bolts, the mean length of the bolts is 86.5 mm, with a margin of error of ±0.6 mm.The result is considered accurate 95% of the time.
a) State the confidence interval for the mean length of the lag bolts.
b) Three other samples of different sizes were taken using the same confidence level, as shown below, but the margin of error for each sample was mixed up. Match the correct margin of error with each sample size.
Sample Size
Margin of Error (mm)
  50
0.2
250
1.1
500
0.4
 



 
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