Question

Find the mean, median, Mode of the following marks obtained by 16
students in a Class test marked out of 10 Marks:
0, 0, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 7, 8​

Answer 1

Answer:

Given data is 0,0,2,2,3,3,3,4,5,5,5,5,6,6,7,8

Number of observations, n=16

Mean=Σx

i

/n

=(0+0+2+2+3+3+3+4+5+5+5+5+6+6+7+8)/16

=64/16

=4

Hence the mean is 4.

Here n=16 which is even.

So median=

2

1

(n/2

th

term+((n/2)+1)

th

term)

=

2

1

(16/2

th

term+((16/2)+1)

th

term)

=

2

1

(8

th

term+(8+1)

th

term)

=

2

1

(8

th

term+9

th

term)

=

2

1

(4+5)

=9/2

=4.5

Hence the median is 4.5.

Here 5 appears the maximum number of times.

Hence mode is 5.