Loading [MathJax]/jax/output/HTML-CSS/jax.js
Home / Aptitude Tests / Mathematics / \(\begin{array}{c|c}...
\(\begin{array}{c|c} Class Intervals & 0 - 2 & 3 - 5 & 6 - 8...

ClassIntervals023568911Frequency3253
Find the mode of the above distribution.

A.

9

B.

8

C.

10

D.

7

Correct answer is D

Mode = L1 + (D1D1+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 + (D1D1+D2)C

= 5.5 + 32+3C

= 5.5 + 35 x 3

= 5.5 + 95

= 5.5 + 1.8

= 7.3 = 7