mav further maths trial exam 2018 PDF

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Ex 2A Dot plots and stem plots Question 1. The maximum range of values covered by the histogram shown is:

a. b. c. d. e.

800 900 1000 1100 1200

Question 2. For the stem plot shown, the middle value is:

a. b. c. d. e.

Question 3.

For the dot plot, the middle value is: a. b. c. d. e.

54 55 56 57 58

6 7 16 17 19

Question 4.

For the dot plot, the percentage of values less than 54 is closest to: a. b. c. d. e.

40% 42% 46% 54% 68%

Question 5.

The back-to-back stem plot shows the number of nights spent away from home each year for a sample of tourists. The distribution of nights away from home is best described as: a.

negatively skewed with an outlier

b.

positively skewed with an outlier

c.

positively skewed

d.

symmetric

e.

symmetric with an outlier

Question 6.

The stem plot shows the number of nights spent away from home each year for a sample of tourists. The number of nights these tourists typically spent away from home (the centre of the distribution) is: a. b. c. d. e.

7 8 17 18 21

Question 7. For the stem plot, the modal interval is:

a. b. c. d. e.

10−14 10−15 15−19 25−29 30−34

Question 8.

The stem plot shows the number of nights spent away from home each year for a sample of tourists. The number of tourists in the sample is:

d.

10 20 21 22

e.

4

a. b. c.

Ex 2B The Median, Range and IQR Question 1.

The heights of 15 children (in cm) were measured and recorded as:

52,53,55,56,57,59,63,65,68,72,74,75,77,78,80 The first quartile is: a. b. c. d. e.

53 55 56 56.5 59

Question 2. The following is an ordered set of people’s ages (in years):

16,16,17,17,17,17,18,19,20,20,21,23,27,30,45 The median age (in years) is: a. b. c. d. e.

17 18 18.5 19 19.5

Question 3. The following is an ordered set of people’s ages (in years):

16,17,17,17,17,18,19,20,20,21,23,27,30,45 The third quartile is: a. b. c. d. e.

17 19.5 21 23 25

Question 4. Eight people were weighed and their weights in kilograms were recorded as:

47,64,53,75,82,66,63,59 The median weight (in kg) is: a. b. c.

63 63.5 64

d. e.

66.5 68

Question 5. The heights (in cm) of 15 students were measured and recorded as: 52,53,55,56,57,59,63,65,68,72,74,75,77,78,80 The range is: a. b. c. d. e.

12 28 35 59 82

Question 6. The 5-number summary for a set of data is: 125,134,167,176,180 The interquartile range (IQR) is: a. b. c. d. e.

33 42 134 176 180

Question 7. An ordered set of people’s heights in centimeters was recorded as:

159,160,161,165,165,166,166,168,169,170,175,176,178,179,183 The interquartile range (IQR) is: a. b. c. d. e.

8 9 10 11 12

Question 8. An ordered set of people’s heights in centimeters was recorded as:

159,160,161,165,165,166,166,168,169,170,175,176,178,179,183 The median height (in cm) is: a. 165 b. 166

c. d. e.

167 168 169

Question 9. The daily maximum temperatures (in °C) in a ski resort over five days were

−1,5,7,3,0 The median temperature is:

d.

0 2.8 3 3.2

e.

5

a. b. c....