For the discrete series given as, X variable values: 32 with frequency 2, 37 with frequency 5, 46 with frequency 3 and 48 with frequency 9, the median is _______.Select one:a.32b.37c.46d.48

To find the median of a discrete series, we first need to calculate the cumulative frequency.

Here's how:

1. List the variable values in ascending order along with their frequencies:

   Variable (X)	Frequency (f)
   32	2
   37	5
   46	3
   48	9

2. Calculate the cumulative frequency:

   Variable (X)	Frequency (f)	Cumulative Frequency (F)
   32	2	2
   37	5	7 (2+5)
   46	3	10 (7+3)
   48	9	19 (10+9)

3. The total frequency (N) is 19. The median is the ((N+1)/2)th value, which is the 10th value in this case.

4. Looking at the cumulative frequency column, the 10th value falls in the range of the variable value 46.

So, the median of the given discrete series is 46. Therefore, the correct answer is c. 46.