Question

calculate the mean median and mode of the numbers 3,2,6,3,3,1,1,5​

Answer 1

Answer:

We arrange given data in ascending order 1,1,2,2,3,3,3,6

Mean=Σx

i

/n

=(1+1+2+2+3+3+3+6)/8

=21/8

=2.625

Hence the mean is 2.625.

Here number of observations, n=8 which is even.

So median=

2

1

(n/2

th

term+((n/2)+1)

th

term)

=

2

1

(8/2

th

term+((8/2)+1)

th

term)

=

2

1

(4

th

term+(4+1)

th

term)

=

2

1

(4

th

term+5

th

term)

=

2

1

(2+3)

=

2

1

×5

=2.5

Hence the median is 2.5.