Question

The number of goals scored in a series of football matches was as follows
Number of goals - 1,2,3
Number of matches - 8,8,x
a)f the mean number of goals is 2.04, find x
b)If the modal value number of goals is 3, find the smallest possible value of x
c) If the median number of goals is 2, find the largest possible value of x.

Answer 1

ANSWER

Mean =sum of observation/ no. of observations

=2+3+4+5+0+1+3+3+4+3/10

=28/10

=2.8

mean = 2.8

median

let us write given observatins in ascending order

= 0123333445

here no. of observations r 10 which is an even no.

therefore observation at 5th and 6th place is at middle position ile. 3 and 3

median = sum of observation at 5th and 6th place / 2

= 3+3/2

=6/2

=3

median = 3

mode= observation which repeated maximum time

= 3

mode = 3