100 surnames were randomly picked up from a local telephone directory & the frequency distribution of the number of letters in the English alphabets in the surname was obtained as follows.
Number of letters1−44−77−1010−1313−1616−19Number of surnames630401644
Determine the median number of letters in the surnames.
C.IFrequencyC.F1−4664−730367−10407610−13169213−1649616−194100
Here n=100 & n2=50
hence median class = 7-10
Now, we see that the 50th observation on the graph by extending it to the ogive.
The value for median seen from the graph is 8.05.