Wynberg Boys’ High SchoolTime: 1 hour

Department of Mathematics Marks: 50

Grade 11 Mathematics25 October 2017

Data Handling/Probability test

QUESTION 1

6.1Below is a set of data showing, the number of runs a young batsman

scored in each of 8 innings:

20; 19; 14; 17; 21; 38; 23; 28

6.1.1Arrange the data in ascending order and determine the median.(2)

6.1.2What is the range?(2)

6.1.3Calculate the mean, showing working.(2)

6.1.4What is the mode?(1)

6.1.5Find the interquartile range.(3)

[10]

QUESTION 2 ANSWER THIS QUESTION ON THE DIAGRAM SHEET.

The speed, in km/h, of snow skiers passing a certain point on a ski slope was recorded and summarized in the table below:

SPEED (km/h) / Frequency / Cumulative Frequency
/ 10
/ 20
/ 45
/ 71
/ 21

1.1 Complete the table on the answer sheet.(2)

1.2Make use of the axes provided in the answer booklet to draw a frequency polygon.(3)

1.3Calculate the estimated mean.(3)

[8]

QUESTION 3

These box-and-whisker diagrams illustrate the waiting times (in minutes) at an airport, for three different hotel shuttle buses.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1718 19 20 25

Waiting time in minutes

3.1 Which of the three shuttles (A,B or C) has the largest interquartile range? (1)

3.2 Which of the three shuttles (A,B or C) has the largest range?(1)

3.3 What is the median of the waiting times for shuttle C? (1)

3.4 Box B has long whiskers. What does this tell you about the data?(2)

3.5 What percentage of the waiting times lies between the maximum waiting time and

the median, for any of these buses?(2)

[7]

QUESTION 4

State whether the following indicates mutually exclusive, complementary, independent or inclusive events:

4.1P(A) + P(B) = P(A or B)(1)

4.2P(A)  P(B) = P(A and B)(1)

4.3P(A) + P(B) – P(A and B) = P(A or B)(1)

[3]

QUESTION 5

There are 10 chocolates in a bag, 6 Bar-One and 4 Tex chocolates. You randomly select 3 chocolates. After each selectionyou do not put the chocolate back into the bag.

5.1 / Draw a tree diagram to represent the selection of chocolates. / (5)
5.2 / Calculate the probability that you select one Tex and 2 Bar-One’s. / (3)
5.3 / Calculate the probability that you will select three of the same chocolates. / (3)
[11]

QUESTION 6

A survey was conducted amongst 200 learners about the types of movies they watch. The following types were listed: action movies, romantic movies and comedies. The information from the survey is summarised below.
  • 90 watched action movies
  • 64 watched romantic movies
  • 77 watched comedies
  • 8 watched all three types of movies
  • 18 watched romantic movies and comedies
  • 26 did not watch any of the three types of movies
  • 27 watched action movies and comedies
  • number of learners watched action movies and romantic movies, but not comedies

6.1 / Draw a Venn diagram to represent the information. / (6)
6.2 / Calculate the value of . / (2)
6.3 / Hence, determine how many learners prefer action movies only. / (1)
6.4 / What is the probability that, if a learner is randomly selected, he/she would
prefer only two types of movies? / (2)
[11]

DIAGRAM SHEET – GRADE 11 DATA HANDLING ASSIGNMENT22 Oct 2012

NAME:______

1.1

SPEED (km/hr) / Frequency () / Cumulative Frequency
/ 10
/ 20
/ 45
/ 71
/ 21

1.2, 1.3

P.T.O