Find the mode of the following distribution:Class 5-15 15-25 25-35 35-45 Frequency 6 14 18 12
29
The modal class is the class with the highest frequency. The greatest frequency is 18, so the modal class is 25-35.
Here \(L = 25\), modal frequency \(f_1 = 18\), frequency of the preceding class \(f_0 = 14\), frequency of the following class \(f_2 = 12\) and class width \(h = 10\).
Mode \(= L + \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \times h = 25 + \frac{18 - 14}{2(18) - 14 - 12} \times 10\).
\(= 25 + \frac{4}{36 - 26} \times 10 = 25 + \frac{4}{10} \times 10 = 25 + 4 = 29\).
Hence, the mode of the distribution is 29.
Similar Questions
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Important Questions from Elementary Statistics
In a colony 5 families have 1 child, 7 families have 2 children, 8 families have 3 children and 3 families have 4 children.What is the mode of the number of children.
What will be the difference between mean and median of the given data?
21, 11, 27, 8, 5, 12, 7, 23, 3, 14, 9, 19Find the mode and median of 3, 4, 5, 5, 3, 6, 7, 3, 5, 5, 6.
A. 5 and 5
B. 3 and 5
C. 5 and 4
D. 3 and 4
For which set of numbers do the mean, median and mode all have the same value?
The median of 5, 8, 25, 22, 34, 18 is
