1 markA company sells shirts in three different sizes (small, medium, and large) and in two different colors (white and blue). The incomplete table below shows some information about the number of shirts in each size and each color that the company has in stock.
Size | |||||
Small | Medium | Large | Total | ||
Color | White | 57 | 133 | ||
Blue | 25 | ||||
Total | 63 | 118 | 248 | ||
How many small, white shirts does the company have in stock?
29
34
38
76
196
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1 markRaj asked all employees at three companies, labeled A, B, and C for anonymity reasons, whether they prefer football or baseball. The results are shown in the mosaic plot below.
Which of the following statements cannot be justified from the mosaic plot?
The proportion of employees who prefer football to baseball is greater at company A than at company B.
The number of employees at company C who prefer football is greater than the number of employees at company B who prefer football.
Out of all the employees, the majority prefer baseball.
Company B has the most employees out of the three companies.
In company A, the majority of employees prefer football.
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1 markDuring a particular school's sports day, students can choose the number of activities in which they participate. In each activity, the person in first place receives a gold award, the person in second place receives a silver award, and the person in third place receives a bronze award. The graph below shows the relative frequency distribution of the awards received by three students: Peter, Claire, and Nathan.
Which of the following must be true?
Peter received more bronze awards than gold awards.
Nathan received more bronze awards than silver awards.
Peter received more gold awards than Claire.
Peter and Claire received the same number of silver awards.
Altogether, the three students received more bronze awards than gold awards.
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1 markIn the two-way frequency table below, a sample of 621 college students is classified by the number of portions of fruit or vegetables they eat in a day and the amount of time they spend exercising in a week.
Number of portions of fruit or vegetables in a day | |||||
Two or fewer | Three to five | Six or more | Total | ||
Amount of time spent on exercise in a week | Less than two hours | 54 | 63 | 21 | 138 |
Two to six hours | 83 | 112 | 95 | 290 | |
More than six hours | 11 | 95 | 87 | 193 | |
Total | 148 | 270 | 203 | 621 | |
Of the students in the sample who exercise for more than six hours a week, what proportion eat at least three portions of fruit or vegetables in a day?
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1 markYgrid collected data from 300 households. The number of bedrooms in each house and the number of cars belonging to the residents were recorded. The results are shown in the table below.
Number of bedrooms | ||||||
One | Two | Three | More than three | Total | ||
Number of cars | Zero | 12 | 8 | 4 | 1 | 25 |
One | 25 | 56 | 54 | 11 | 146 | |
More than one | 7 | 32 | 57 | 33 | 129 | |
Total | 44 | 96 | 115 | 45 | 300 | |
Which of the following statements about a randomly chosen household from these 300 households is true?
If the household has exactly one bedroom, it is more likely to have more than one car than to have exactly one car.
If the household has exactly three bedrooms, it is more likely to have more than one car than to have at most one car.
The household is more likely to have exactly one bedroom if it does not have a car than if it has at least one car.
The household is more likely to have exactly two bedrooms than exactly three bedrooms.
The household is more likely to not have a car than to have at least one car.
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