Question

Find the mode from the data given below:

Marks obtained	0 - 5	5 - 10	10 - 15	15 - 20	20 - 25	25 - 30
No. of students	18	20	25	30	16	14

• A. 16.1
• B. 16.2
• C. 16.7
• D. 16.3

Answer 1

Answer: (D)

30 is greatest number in given table
$\therefore$ mode group = $15-20$
$\therefore l_1$(lower limit) = $15,f=30,f_1=25,f_2=16,i=20-15=5$
We know that,
mode = $l_1+\frac{f-f_1}{2f-f_1-f_2}\times i$
$=15+\frac{30-25}{2\times 30-25-16}\times 5$
$=15+\frac{5}{60-41}\times 5=15+\frac{25}{19}=16.3$