SOLUTION TO LAST WEEK'S FORM FOUR SERIES ONE QUESTIONS

SOLUTIONS TO FORM FOUR SERIES ONE WEEKLY QUESTIONS:

QN 1:;

solution

(a) Three significant figures 300.0

(b) Three decimal places 300.326

QN2:

solution

Rationalization of the denominator 

QN3:

(a) solution

(b) solution

QN4 (a) solution

Table of values for the function

 

(b) The domain and ranges for the relation are such that

QN5.

Solution:

Marks	Class Marks(x)	Frequency (f)	f.x	Cumulative Frequency
0-9	4.5	1	4.5	1
10-19	14.5	2	29	3
20-29	24.5	5	122.5	8
30-39	34.5	11	379.5	19
40-49	44.5	21	934.5	40
50-59	54.5	20	1090	60
60-69	64.5	17	1096.5	77
70-79	74.5	10	745	87
80-89	84.5	6	507	93
90-99	94.5	4	378	97
100-109	104.5	4	418	101
110-119	114.5	1	114.5	102
TOTAL		102	5819

(a)Histogram and Frequency Polygon see figure 1.

(b) The modal class refers to the class with the highest frequency which in this case is 40-49.

(c) Solution:

(d) Calculating the median

But before anything you should find the median class by calculating the middle term of the cumulative frequency which is usually the number which is equal to the half of the total of frequency or just above.

Which in this case 102/2 = 51

So we choose the class with a cumulative frequency of 60.

Hence the median class is 50-59

Histogram and Frequency Polygon

FREQUENCY POLYGON