Calculate mode from the following data: Marks Less than 10 Less than 20 Less than 30 Less than 40 Less than 50 No. of Students 10 30 60 80 90

Since cumulative frequencies are given, we first convert it into simple frequencies. Marks f 0-10 10 10-20 20 20-30 30 30-40 20 40-50 10 By inspection, we observe that the modal class is 20-30 as it has the highest frequency. Z=l_1+ f_1-f_0 2f_1-f_0-f_2 =20+30-20 60-20-20 10 =20+10 20 10=20+1 2 10 =20+5=25

Calculate mode from the following data: Marks Less than 10 Less t…

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Question

Calculate mode from the following data:

Marks	Less than 10	Less than 20	Less than 30	Less than 40	Less than 50
No. of Students	10	30	60	80	90

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Answer

Since cumulative frequencies are given, we first convert it into simple frequencies.

Marks	f
0-10	10
10-20	20
20-30	30
30-40	20
40-50	10

By inspection, we observe that the modal class is 20-30 as it has the highest frequency.
$\text{Z}=\text{l}_1+\frac{\text{f}_1-\text{f}_0}{2\text{f}_1-\text{f}_0-\text{f}_2}\times\text{i}$
$=20+\frac{30-20}{60-20-20}\times10$
$=20+\frac{10}{20}\times10=20+\frac{1}{2}\times10$
$=20+5=25$