Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Environment Canada recorded the amount of rain (in millimetres) in Victoria, BC
for two months. 0 0
9.0 0 0
1.0 0 0
0 7.6 0
0 5.8
0.6 0 0
0.4 0 0
0 0 0 0
0 0 0 0
0 0 0
0 0 0 0
0 0 0
0.4 0 5.8
0 0 1.6
0.2 0 6.0
0 0 0.2
0 0 0.2
0 0 1.0
0 0 2.8
0 0 26.0
0 What value goes in the third row of this frequency table? Precipitation (mm) |
Frequency
| 0–4.9 | 56 | 5.0–9.9 | 5 | 10.0–14.9 | | 15.0–19.9 | 0 | 20.0–24.9 | 0 | 25.0–29.9 | 1 | | |
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2.
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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
Determine the
standard deviation, to two decimal places.
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3.
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A pear orchard has 20 trees with these heights, given in
inches.
110
83 104
95
88
80 115
106
97
100 98
93
92
117 75
83
122
115 89 105
Determine the mean, to
one decimal place.
a. | 99.4 in. | b. | 101.4 in. | c. | 98.4
in. | d. | 100.4 in. |
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4.
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A pear orchard has 20 trees with these heights, given in
inches.
110
83 104
95
88
80 115
106
97
100 98
93
92
117 75
83
122
115 89 105
Determine the standard
deviation, to one decimal place.
a. | 9.0 in. | b. | 11.0 in. | c. | 13.0
in. | d. | 15.0 in. |
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5.
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Environment Canada compiled data on the number of lightning strikes per square
kilometre in Saskatchewan and Manitoba towns from 1999 to 2008.
2.03
1.31 0.25
1.03 1.20
0.17
0.99 1.01
0.24 0.94
0.92 0.09
0.86
0.71 0.05
0.81 0.63
0.01
0.80 0.58
0.00 0.72
0.49 0.52
0.43
0.46 0.40
Determine the standard deviation, to two decimal
places.
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6.
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Jayma recorded the time it takes her to get to school using three different
routes. | Hour | 1 | 2 | 3 | 4 | 5 | | Route 1 (min) | 12 | 8 | 11 | 12 | 8 | | Route 2 (min) | 14 | 9 | 12 | 12 | 10 | | Route 3 (min) | 6 | 14 | 10 | 9 | 11 | | | | | | |
On which route does Jayma
have a more consistent travel time?
a. | Route 1 | b. | Route 3 | c. | Route
2 |
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7.
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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 40 and
50?
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8.
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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 30 and
50?
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9.
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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.
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10.
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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.
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11.
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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 Shondra’s mark if she scored µ + s.
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12.
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Which set is normally distributed? | Interval | 0–9 | 10–19 | 20–29 | 30–39 | 40–49 | 50–59 | | Set A. | 100 | 500 | 850 | 820 | 450 | 150 | | Set B. | 800 | 750 | 700 | 650 | 600 | 550 | | Set C. | 950 | 420 | 180 | 220 | 460 | 990 | | Set D. | 400 | 620 | 760 | 820 | 900 | 850 | | | | | | | |
a. | Set A. | b. | Set C. | c. | Set
D. | d. | Set B. |
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13.
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Determine the percent of data to the left of the z-score: z =
1.44.
a. | 94.95% | b. | 95.91% | c. | 93.82% | d. | 92.51% |
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14.
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The results of a survey have a confidence interval of 88.7% to 90.5%, 99 times
out of 100.
Determine the margin of error.
a. | ±0.9% | b. | ±1.1% | c. | ±0.7% | d. | ±1.3% |
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15.
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In a recent survey of high school students, 72% of those surveyed agreed that
school should start half an hour later. The survey is considered accurate to within 3.5 percent
points, 19 times out of 20.
If a high school has 1200 students, state the range of the number of
students who would agree with the survey.
a. | 864–948 | b. | 822–906 | c. | 822–864 | d. | 864–906 |
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Short Answer
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16.
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Joel researched the average daily temperature in his town. Average Daily
Temperature in Lloydminster, SK Month | Jan. | Feb. | Mar. | Apr. | May | Jun. | Jul. | Aug. | Sep. | Oct. | Nov. | Dec. | average daily temperature (°C) | –10.0 | –17.5 | –5.0 | 3.7 | 10.7 | 14.3 | 20.1 | 14.0 | 9.8 | 4.8 | –5.8 | –14.8 | | | | | | | | | | | | | |
Determine the median of the
data.
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17.
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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 2, to one decimal
place.
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18.
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A company measured the lifespan of a random sample of 20 batteries in their MP3
players. Times are in hours.
7.8
11.0 10.5
8.8 9.0 9.4
10.2 9.4
8.6 9.0
9.3 8.5 7.9
9.1 7.9 9.3
7.4 9.7
10.6 8.5
Determine the standard deviation, to two decimal
places.
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Problem
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19.
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Joannie and Alex are trying to control the number of text messages they send.
They record the number they send every day in April.
Joannie: 32, 14, 22, 33, 18, 25, 26, 20, 32,
16, 18, 25, 31, 34, 3, 8, 32, 28, 25, 18, 32, 21, 9, 10, 27, 18, 29, 22, 15, 20
Alex: 24, 0, 3,
14, 29, 24, 25, 30, 12, 18, 22, 30, 16, 19, 7, 12, 26, 21, 22, 27, 5, 19, 18, 8, 21, 25, 20, 18, 13,
15
Compare the two sets of data using a frequency polygon with seven intervals.
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20.
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Hazel has 20 min to get to her after-school job. Despite her best efforts, she
is frequently late. Her employer says that unless she arrives to work on time consistently, she will
lose her job. She has recorded her travel times (in minutes) for the last two weeks: 19, 20, 18, 23,
25, 19, 17, 21, 23, 24. Over the next two weeks, she continues to record her travel times: 16, 21,
18, 18, 23, 19, 16, 24, 16, 23.
Do you think Hazel will lose her job? Use statistics to justify
your answer.
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21.
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In a population, 50% of the adults are taller than 175 cm and 25% are taller
than 185 cm. Determine the mean height and standard deviation for this population.
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