Question:
The cumulative frequency table of marks is given. Then, the number of students scoring between 20 and 40 is:
\[
\begin{array}{c|ccccc}
{Marks} & \le 10 & \le 20 & \le 30 & \le 40 & \le 50 \\
\hline
{Frequency} & 5 & 12 & 26 & 37 & 50
\end{array}
\]
The cumulative frequency table of marks is given. Then, the number of students scoring between 20 and 40 is:
\[
\begin{array}{c|ccccc}
{Marks} & \le 10 & \le 20 & \le 30 & \le 40 & \le 50 \\
\hline
{Frequency} & 5 & 12 & 26 & 37 & 50
\end{array}
\]
Show Hint
In cumulative frequency, subtract successive values to get class frequency.
Updated On: Apr 23, 2026
- 12
- 25
- 26
- 37
Show Solution
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The Correct Option is B
Solution and Explanation
Concept:
For cumulative frequency:
\[
{Frequency between two values} = f(\le {upper}) - f(\le {lower})
\]
Step 1: Identify values.
\[ f(\le 40) = 37,\quad f(\le 20) = 12 \]
Step 2: Subtract.
\[ 37 - 12 = 25 \]
Hence, the number of students is 25.
Step 1: Identify values.
\[ f(\le 40) = 37,\quad f(\le 20) = 12 \]
Step 2: Subtract.
\[ 37 - 12 = 25 \]
Hence, the number of students is 25.
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