Question

ceneral decy 11. yor the set o. Kem shown im ถ. following frequecy your skrich does this change nect tmen and the new median, and

Answer 1

11. Table:

x	f	Cumulative frequency, cf	xf
5	1	1	5
4	2	3	8
3	4	7	12
2	2	9	4
1	1	10	1
Total	10		30

Median :
M = value of (n/2)th observation

= value of (10/2)th observation = value of 5th observation

From the column of cumulative frequency cf, we find that the 5th observation is 3.

Hence, the median of the data is 3.

a) Histogram:

b) Mean =  $\Sigma xf / n = 30/10 = \textbf{3 }$

c) The median will remain same i.e Median = 3

Th value of mean will change.

Mean = $\Sigma xf / n =(4.5*1+4*2+3*4+2*2+1*1)/10= 29.5/10 = \textbf{2.95 }$

12. = N = 50, $\mu$ = 26

$\Sigma x = \mu* N = 26*50 = \textbf{1300}$