Question

5. (a) The table below shows the cumulative frequency distribution of the weight of 80 deer recorded by the zookeeper. Weight, w kg Cumulative Frequency 6 15 61-80 36 niger 81-100 58 y Determine the upper class boundary for the class 21-40. Determine the class width for the class 41-60. How many deer were recorded in the class 81-100. (iv) A deer was chosen at random from the 80 deer. What is the probability that the weight of the deer is more than 100.5 kg. Leave your answer as an EXACT value. [2]

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

• The upper class boundary for the class 21 - 40

,

• Class width for 41 - 60

,

• The number of deer recorded in the class 81 - 100

Given:

(i) To find the class boundary for the class 21 - 40, we will first subtract 0.5 from 21 and then add 0.5 to 40.

That is;

20.5 - 40.5

Hence, the upper class boundary is 40.5

(ii) The class width for the class 41 - 60

The class width can be determine by subtracting 41 from 60.

That is;

`60-41=19`

Hence, class width = 19

(iii) Number of deer recorded in the class 81 - 100

This can be obtain by subtracting the cumulative frequency in the class from the cumulative frequency before it.

58 - 36 =22

Hence, we have 22 numbers of deer in the class 81 - 100.

(iv) A deer was chosen at random from the 80 deer. What is the probability that the weight of the deer is more than 100.5 kg.

We can solve this by first determining the number of deer that are above 100.5 kg.

Number of beer above 100.5 kg = 15 + 7 = 22

Total number of deer = 80

`Probability=\frac{required\text{ outcome}}{all\text{ possible outcome}}`
`=(22)/(80)`
`=(11)/(40)`

ANSWER

(i) 40.5

(ii) 19

(iii) 22

(iv) 11/40