Class Intervals
0-2
3-5
6-8
9-11
Frequency
3
2
5
3
Find the mode of the above distribution.
A
9
B
8
C
10
D
7
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Mode = L1 + (\(\frac{D_1}{D_1 + D_2}\))C
D1 = frequency of modal class - frequency of the class before it
D1 = 5 - 2 = 3
D2 = frequency of modal class - frequency of the class that offers it
D2 = 5 - 3 = 2
L1 = lower class boundary of the modal class
L1 = 5 - 5
C is the class width = 8 - 5.5 = 3
Mode = L1 + (\(\frac{D_1}{D_1 + D_2}\))C
= 5.5 + \(\frac{3}{2 + 3}\)C
= 5.5 + \(\frac{3}{5}\) x 3
= 5.5 + \(\frac{9}{5}\)
= 5.5 + 1.8
= 7.3 \(\approx\) = 7
Source: Myschool Past Questions Archive (Record #29493)