Question

For the following data find median observations 10,12,14,16,18,20 frequency 1,4,5,9,1,3

Answer 1

Answer:

16

Step-by-step explanation:

Median : A value or quantity lying at the midpoint of a frequency distribution is known as a median.

Frequency : The frequency is a value that denotes how many times a particular data value occurs.

Given,

Observations : 10, 12, 14, 16, 18, 20

Frequency : 1, 4, 5, 9, 1, 3

Then, arranging all the observations in ascending order we get,

10, 12, 12, 12, 12, 14, 14, 14, 14, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 18, 20, 20, 20

Now, taking "n" to be the total number of observations,

"n" = 23

Since, "n" is odd, the formula to find the median is :-

((n + 1)/2) th term

Then, the median is :-

(23 + 1)/2 th term

= (24/2) th term

= 12th term

Now, we get the median to be the 12th term, which is 16.

Therefore, the median is 16.

Hope it Helps!

Answer 2

Answer:16

Step-by-step explanation:

OBSERVATION:- 10,12,14,16,18,20

FREQUENCY:- 1,4,5,9,1,3

Now, arranging all the observations in ascending order, according to their frequency, we get :-

10,12,12,12,12,14,14,14,14,14,16,16,16,16,16,16,16,16,16,18,20,20,20.

Therefore, total no. of observations "n" = 23

Median= n+1÷2

=23+1÷2

=24÷2

= 12th term

Median = 16