CAEC: Math: data and probability

All 17 questions in this test

Every question and its answer choices. The correct answers and explanations appear when you take the test above.

1. Shoe sizes sold today: 8, 9, 9, 10, 9, 11, 8. Which size is the mode?

   1. 9.1
   2. 9
   3. 8
   4. 10

2. Which type of graph best shows how one store's sales changed month by month over a year?

   1. A line graph
   2. A circle graph
   3. A histogram of ages
   4. A table of names

3. One card is drawn from cards numbered 1 to 10. What is the probability it is a 2 or a 7?

   1. 1/5
   2. 1/10
   3. 2/9
   4. 1/100

4. For the daily sales data 12, 15, 9, 15, 14, what is the median?

   1. 14
   2. 15
   3. 13
   4. 9

5. The chance of rain is 30% on Saturday and 30% on Sunday, independently. What is the chance it rains on both days?

   1. 15%
   2. 60%
   3. 30%
   4. 9%

6. Five houses on a street sold for 32, 35, 30, 34 and 99 (in $10,000s). Which measure best describes a typical price?

   1. The mean, 46
   2. The mode, none
   3. The median, 34
   4. The range, 69

7. A data set's mean is 20. Every value is increased by 5. What is the new mean?

   1. 25
   2. 20
   3. 4
   4. 100

8. Monthly bus riders (thousands): Jan 42, Feb 40, Mar 46, Apr 51, May 55. Between which two months did ridership rise the most?

   1. April to May
   2. February to March
   3. January to February
   4. March to April

9. A spinner has 8 equal sections numbered 1 to 8. What is the probability of spinning a number greater than 5?

   1. 1/2
   2. 3/8
   3. 5/8
   4. 3/5

10. Ana's first three test marks are 78, 84 and 90. What mark does she need on the fourth test for a mean of 85?

    1. 88
    2. 92
    3. 85
    4. 84

11. A scatterplot shows that as outdoor temperature rises, ice cream sales rise. How is this relationship described?

    1. A positive correlation
    2. A perfect circle
    3. A negative correlation
    4. No correlation

12. A fair coin is flipped and a fair six-sided die is rolled. What is the probability of heads and a 6?

    1. 1/6
    2. 2/3
    3. 1/8
    4. 1/12

13. Find the range of these temperatures in °C: −4, 3, 7, −1, 10.

    1. 11
    2. 14
    3. 6
    4. 15

14. A bag has 3 red, 5 blue and 2 green marbles. What is the probability of drawing a blue marble?

    1. 5/7
    2. 1/2
    3. 3/10
    4. 1/5

15. A budget circle graph shows rent as 35% of a $3,200 monthly income. How much is rent?

    1. $1,035
    2. $914
    3. $2,080
    4. $1,120

16. Daily sales were 12, 15, 9, 15 and 14 items. What is the mean?

    1. 13
    2. 12
    3. 14
    4. 15

17. Two dice are rolled. What is the probability that both show an even number?

    1. 1/2
    2. 1/4
    3. 1/6
    4. 1/3