Multiple choice

A survey was conducted to identify vegetarians in a group of people. Find the mode of the data. Group $5-7$ $7-9$ $9-11$ $11-13$ $13-15$ $15-17$ Frequency $6$ $7$ $3$ $7$ $12$ $9$

  1. $15.25$
  2. $12.25$
  3. $14.25$
  4. $13.25$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The modal class is the one with the highest frequency, which is 13-15 (frequency 12). Mode = L + ((f1-f0)/(2f1-f0-f2))*h. L=13, f1=12, f0=7, f2=9, h=2. Mode = 13 + ((12-7)/(24-7-9))*2 = 13 + (5/8)*2 = 13 + 1.25 = 14.25.