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MAP12 Quiz 2

Total questions: 9

Worksheet time: 3600secs

Name
Class
Date
1.

A set of Ages is shown below

18, 23, 25, 24, 19, 28, 26, 20, 21, 25, 24, 29

Determine the values of

i) Median

ii) Mean

a)

i)26

ii)23.50

b)

i)24

ii)24.3

c)

i)25

ii) 24.3

d)

i)24

ii)23.50

e)

i) 25

ii) 23.50

2.

The age group of a group of student is tabulated in the table below. If the mean of the data is 14.13, then the standard of deviation of the data is equal to:

Age, x(yrs) 12 13 14 15 16

Frequency 5 7 12 10 6

a)

1.17

b)

13.36

c)

1.37

d)

1.08

3.

In a town, the probability that a family owns a vehicle is 0.68 and the probability that a family owns a boat is 0.22.

The probability that a family owns both a vehicle and a boat is 0.07. What is the probability that a family chosen at random from the town will own

(i)    a boat only?

(ii)   neither a vehicle nor a boat?

a)

i) 0.22

ii) 0.83

b)

i) 0.15

ii) 0.83

c)

i) 0.22

ii) 0.17

d)

i) 0.15

ii) 0.17

4.

a)

f(x)=sin⁡x −1f\left(x\right)=\sin x\ -1

f(x)=sinx −1

b)

f(x)=sin⁡x+1f\left(x\right)=\sin x+1

f(x)=sinx+1

c)

f(x)=sin⁡(x+1)f\left(x\right)=\sin\left(x+1\right)

f(x)=sin(x+1)

d)

f(x)=sin⁡x(x−1)f\left(x\right)=\sin x\left(x-1\right)

f(x)=sinx(x−1)

5.
a)

10.6

b)

8.7

c)

11.4

d)

12.2

6.
a)

30.08

b)

15.00

c)

32.26

d)

16.09

7.
a)

83.63

b)

61.22

c)

85.83

d)

32.96

8.

For the set of test marks shown below determine the values of:

i. Range

ii. Interquartile range.

11, 18, 15, 16, 12, 17, 10, 13, 15, 17, 14, 15, 19

a)

i. 8

ii. 4.5

b)

i. 9

ii. 0.5

c)

i. 8

ii. 9.5

d)

i. 9

ii. 9.5

9.

The weights of the fish caught by a fishing company is normally distributed with a mean weight of 28kg and a standard deviation of 4.5kg.

How many fish from a sample of 200 fish caught by the company will be expected to have a weight over 34kg?

a)

13

b)

187

c)

113

d)

87