Question

The data regarding marks obtained by 48 students of a class in a class test is given below. Calculate the modal marks of students.
Marks Obtained Number of students
0–5 1
5–10 0
10–15 2
15–20 0
20–25 0
25–30 10
30–35 25
35–40 7
40–45 2
45–50 1

Answer 1

Answer:

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Answer 2

The modal marks of students is 32.27 (appox).

The table given in the question is attached below.

Step-by-step explanation:

From question, the marks are given in the range. The mode is obtained with the formula given below:

$\bold{Mode =l+\left(\frac{f_{1}-f_{0}}{2 f_{1}-f_{0}-f_{2}}\right) \times h}$

Where,

Modal class is 30 - 35

$\bold{l=30}$

$\bold{f_{1}=25}$

$\bold{f_{0}=10}$

$\bold{f_{2}=7}$

$\bold{h=5}$

Now, on substituting the available values, we get,

$\bold{\text { Mode }=30+\frac{25-10}{50-10-7} \times 5}$

$\bold{Mode=30+2.27}$

$\bold{Mode=32.27}$