Q. 45.0( 1 Vote )
The following frequency distribution represents the deposits (in thousand rupees) and the number of depositors in a bank. Find the median of the data:
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 = 2776
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 1388.
We have, 2316.
Corresponding to this value of cumulative frequency, we can say that median class is 10 – 20.
That is,
Median class = 10 – 20
∴ we have almost everything we require to calculate median.
Median is given by,
Where,
l = lower limit of the median class = 10
n = Total number of observation (sum of frequencies) = 2776
cf = cumulative frequency of the class preceding the median class = 1071
f = frequency of the median class = 1245
c = class size (class sizes are equal) = 10
Putting the values, l = 10, n/2 = 1388, cf = 1071, f = 1245 and c = 10 in the given formula of median, we get
⇒ 
⇒ 
⇒ 
⇒ Median = 10 + 2.55
⇒ Median = 12.55
Thus, the median of the data is Rs. 12.55 (in thousand).
Rate this question :
RD Sharma | Important Questions from Mode and Median36 mins
Best Method to Calculate Mean of Grouped Data48 mins
NCERT | Important Questions of Statistics44 mins
Smart Revision | Rapid Revision on Statistics59 mins
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
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 = 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:
