Q. 25.0( 1 Vote )

# Find the median for the following frequency distribution:

Answer :

Here, we have grouped data given in the table. We need to find cumulative frequency of the data, which will predict our answer.

So,

We have added up all the values of the frequency in the second column and have got,

Total = n = 60

Now, we just need to find the value of n/2. So,

⇒

Now, look up for a value in the cumulative frequency just greater than 30.

We have, 37.

Corresponding to this value of cumulative frequency, we can say that median class is 12 – 16.

That is,

Median class = 12 – 16

∴ we have almost everything we require to calculate median.

Median is given by,

Where,

l = lower limit of the median class = 12

n = Total number of observation (sum of frequencies) = 60

cf = cumulative frequency of the class preceding the median class = 25

f = frequency of the median class = 12

c = class size (class sizes are equal) = 4

Putting the values, l = 12, n/2 = 30, cf = 25, f = 12 and c = 4 in the given formula of median, we get

⇒

⇒

⇒ Median = 12 + 1.67

⇒ Median = 13.67

**Thus, the median of the data is 13.67.**

Rate this question :

Select a proper option (a), (b), (c) or (d) from given options and write in the box given on the right so that the statement becomes correct:

If — Z = 3 and + Z = 45, then M =

Gujarat Board Mathematics

The median of the following data is 525. Find the value of x and y, if the sum of frequency is 100.

Select a proper option (a), (b), (c) or (d) from given options and write in the box given on the right so that the statement becomes correct:

(7) If = 21.44 and Z = 19.13, then M =

Gujarat Board Mathematics

Find the median of the following frequency distribution:

Select a proper option (a), (b), (c) or (d) from given options and write in the box given on the right so that the statement becomes correct:

The median class of the frequency distribution given in (9) is ….

Gujarat Board Mathematics

If Z = 24, = 18, then M=

Gujarat Board Mathematics

The following table gives the frequency distribution of marks scored by 50 students of class X in mathematics examination of 80 marks. Find the median of the data:

Find the median from following frequency distribution:

Find the median for the following:

Find the median for the following frequency distribution: