Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Determine the range of the following test scores.
History Test 1 Scores (out
of 100)
90 84
77 66
89
84 77
65
86 82
75 65
86
81 72
61
84 79
70 56
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2.
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Determine the range of the following test scores.
History Test 2 Scores (out
of 100)
95 85
72 62
92
84 72
59
89 80
70 52
88
78 68
40
85 73
67 32
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3.
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Determine the mean of the following test scores.
History Test 2 Scores (out
of 100)
95 85
72 62
92
84 72
59
89 80
70 52
88
78 68
40
85 73
67 32
a. | 71.15 | b. | 70.65 | c. | 71.65 | d. | 72.15 |
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4.
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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 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 | | |
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5.
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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 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 | | |
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6.
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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?
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7.
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At the end of a bowling tournament, three friends analyzed their
scores.
Lada’s mean bowling score is 125 with a standard deviation of 27.
Quinn’s
mean bowling score is 182 with a standard deviation of 28.
Kamal’s mean bowling score is 170
with a standard deviation of 20.
Who is the more consistent bowler?
a. | Impossible to tell. | b. | Quinn | c. | Kamal | d. | Lada |
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8.
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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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9.
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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
Determine the standard deviation, to one decimal place.
a. | 8.9 mm | b. | 3.7 mm | c. | 0.0
mm | d. | 1.2 mm |
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10.
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Environment Canada recorded the amount of rain (in millimetres) in The Pas, MB
for two months.
0 0
10.8 7.0
31.2 1.6
0
0 6.0
0 0 0
3.1 0
0
1.4 0 0
0.2 1.0
0
0 0.3 11.6
0 0
0 0
0 1.6 1.2
1.0
2.4 0
0 3.0 0
3.4
1.0 0
0 0 0
0
1.6 0
0 0 0
0.2
0 0
0 1.4 0
0
0.4 0
0 0 1.0
0
Determine the standard deviation, to one decimal place.
a. | 6.6 mm | b. | 5.5 mm | c. | 4.4
mm | d. | 7.7 mm |
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11.
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Determine the z-score for the given value.
µ = 510, s = 93, x = 412
a. | –0.95 | b. | 1.05 | c. | 0.95 | d. | –1.05 |
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12.
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Determine the percent of data to the right of the z-score: z =
–1.96.
a. | 98.50% | b. | 97.50% | c. | 1.50% | d. | 2.50% |
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13.
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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% |
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14.
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A poll was conducted about an upcoming election. The result that 30% of people
intend to vote for one of the candidates is considered accurate within ±4.5 percent points, 19
times out of 20.
State the confidence interval.
a. | 25.5%–34.5% | b. | 27.5%–36.5% | c. | 26.5%–35.5% | d. | 24.5%–33.5% |
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15.
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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% |
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Short Answer
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16.
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Claire ordered packages of beads from two online companies.
The mean of the
masses of the packages from company A is 72 g with a standard deviation of 3.4 g.
The mean of the
masses of the packages from company B is 68.5 g with a standard deviation of 1.8 g.
She ordered
10 packages from each company. Which company’s packages have a more consistent mass?
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17.
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Determine the percent of data to the left of the z-score: z =
0.71.
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18.
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Determine the percent of data between the following z-scores:
z
= –0.14 and z = 0.09.
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Problem
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19.
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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 | | 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?
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20.
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For a frequency polygon to display the distribution of data accurately,
intervals of equal width must be used.
a) Explain why, using examples.
b) Can
some of the data be left out of the frequency polygon? Justify your answer.
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21.
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A manufacturer of plasma televisions has determined that the televisions require
servicing after a mean of 62 months, with a standard deviation of 4.5 months. What length of warranty
should be offered, if the manufacturer wants to repair less than 1% of the televisions under the
warranty?
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