The arithmetic mean of the following data is 14. Find the value of k.
$x_{i}$ : 5 10 15 20 25
$f_{i}$ : 7 k 8 4 5.

Open in App

Solution

Mean = $fraction numerator begin display style stack sum f subscript i x subscript i with i equals 1 below end style over denominator N end fraction$ = $fraction numerator 35 plus 10 k plus 120 plus 80 plus 125 over denominator 7 plus k plus 8 plus 4 plus 5 end fraction equals fraction numerator 360 plus 10 k over denominator 24 plus k end fraction$
14 = $fraction numerator 360 plus 10 k over denominator 24 plus k end fraction$

336 + 14k = 360 +10k
4k = 24
k = 6
Therefore k=6

Suggest Corrections

Similar questions

The arithmetic mean of the following data is 25, find the value of k.
$x_{i}$ : 5 15 25 35 45
$f_{i}$ : 3 k 3 6 2

x_i:	5	10	15	20	25
f_i:	7	k	8	4	5

14

k

$x$ :	$5$	$10$	$15$	$20$	$25$
$f$ :	$7$	$k$	$8$	$4$	$5$

x_i:	5	15	25	35	45
f_i:	3	k	3	6	2

17

P

Term(x)	10	15	20	25
Frequency(f)	7	10	P	6

Join BYJU'S Learning Program