Calculate the mode for the following distribution table С І. 0-5 5-10 10-15 15-20 20-25 f 8 9 5 3 1
Answers
Answer:
MODE:
Mode is that value of the given observation which occurs most frequently or having maximum frequency.
MODAL CLASS: A class with the maximum frequency is called a modal class.
MODE = l + (f1-f0/2f1-f0-f2) ×h
l= lower limit of the modal class
h=size of the class intervals
f1=frequency of the modal class
f0=frequency of the class preceding the modal class
f2=frequency of the class succeed in the modal class
SOLUTION:
Here , the highest frequency is of the class 10 -15, which is 18. Hence, the modal class is 10-15.
l=10, f0=7, f1= 18 ,f2= 10, h= 5
Mode = l + (f1-f0/2f1-f0-f2) ×h
Mode = 10 +[(18-7)/(2×18-7-10)]×5
Mode = 10 +[11 / (36 -17)]×5
Mode = 10 + [11/19]×5
Mode = 10 + 55/19
Mode = 10 + 2.89
Mode = 12.89
Hence , the mode of the following frequency distribution is 12.89.
Step-by-step explanation:
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