ClassIntervalsFrequency0−233−526−859−113
Find the mode of the above distribution.
A.
9
B.
8
C.
10
D.
7
Correct Answer: 7
Explanation
Mode = L1 + (D11+D2)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 + (D1/D1+D2)C
= 5.5 + 3/(2+3)C
= 5.5 + 3/5 x 3
= 5.5 + 9/5
= 5.5 + 1.8
= 7.3 ≈ = 7
Mode = L1 + (D11+D2)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 + (D1/D1+D2)C
= 5.5 + 3/(2+3)C
= 5.5 + 3/5 x 3
= 5.5 + 9/5
= 5.5 + 1.8
= 7.3 ≈ = 7