2019 Nov P2 Q2

Question 2

A survey was conducted among

100

people about the amount that they paid on a monthly basis for their cellphone contracts. The person carrying out the survey calculated the estimated mean to be

R\,309

per month. Unfortunately, he lost some of the data thereafter. The partial results of the survey are shown in the frequency table below:

$\quad$ AMOUNT PAID (in Rands)	$\quad$ FREQUENCY
$\quad 0<x \leq 100$	$\quad 7$
$\quad 100<x \leq 200$	$\quad 12$
$\quad 200<x \leq 300$	$\quad a$
$\quad 300<x \leq 400$	$\quad 35$
$\quad 400<x \leq 500$	$\quad b$
$\quad 500<x \leq 600$	$\quad 6$

2.1

How many people paid

R\,200

or less on their monthly cellphone contracts?

(1)

2.2

Use the information above to show that

a=24

and

b=16

(5)

2.3

Write down the modal class for the data.

(1)

2.4

On the grid provided in the ANSWER BOOK, draw and ogive (cumulative frequency graph) to represent the data.

(4)

2.5

Determine how many people paid more than

R\,420

per month for their cellphone contracts.

(2)

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