MAP12 Quiz 2

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

• i)26

  ii)23.50

• i)24

  ii)24.3

• i)25

  ii) 24.3

• i)24

  ii)23.50

• i) 25

  ii) 23.50

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

• 1.17

• 13.36

• 1.37

• 1.08

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?

• i) 0.22

  ii) 0.83

• i) 0.15

  ii) 0.83

• i) 0.22

  ii) 0.17

• i) 0.15

  ii) 0.17

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

  f(x)=sinx −1

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

  f(x)=sinx+1

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

  f(x)=sin(x+1)

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

  f(x)=sinx(x−1)

• 10.6

• 8.7

• 11.4

• 12.2

• 30.08

• 15.00

• 32.26

• 16.09

• 83.63

• 61.22

• 85.83

• 32.96

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

• i. 8

  ii. 4.5

• i. 9

  ii. 0.5

• i. 8

  ii. 9.5

• i. 9

  ii. 9.5

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?

• 13

• 187

• 113

• 87