Question

09 Given the following data classes Frequency 32-35 10 36-39 40-43 4. 44-47 48-51 9 52-55 15 54-59 Find the mean, median and mode

Answer 1

9)

Class Interval	f	X	fX	Cummulative Frequency
31.5-35.5	10	31.5+35. 33.5	335	10
35.5-39.5	6	37.5	225	16
39.5-43.5	8	41.5	332	24
43.5-47.5	4	45.5	182	28
47.5-51.5	8	49.5	396	36
51.5-55.5	9	53.5	481.5	45
55.5-59.5	15	57.5	862.5	60
TOTAL	60		2814

Now, Mean =

ΣΤΧ 2814 - 46.9 60 ΣΕ

-CF Median h x |

Now, , so 47.5-51.5 is the median class.

60 30 2 2

So,

30 28 = 48.5 47.5 4 x |Median 1+ h CF X OO

The interval with the highest frequency is 55.5-59.5. So it is the modal class.

fi- fo 15 9 Mode h x 2f1- fo- f2 56.6428 55.54 x 2(15) 9 0