Question

The observations of ungrouped data arranging in ascending order is 16, 18, 19, x, y, 27, 30 and 31. If x + y = 42 then find the median.​

Answer 1

Answer:

24

Step-by-step explanation:

Here, n=8, number of observations

Term 1 = n/2

= 8/2

=4th term

Term 2 = (n/2)+1

=4+1

=5th term

Now,

we know that

4th term = x

5th term = y

Median

= mean of 4th term and 5th term

= (4th term + 5th term)/2

= (x + y)/2

= 42/2

= 24

(Given that, x + y = 42)

Answer 2

Answer:

24

term 1

n/2=8/2

4th term

term 2

n/2+1

4+1=5

5th term

median

• mean of 4th term and 5th term

• (4th term + 5th term)/ 2

• (x+y)/2

• 42/2

• x+y=24