Question

The upper limit of the median class of the above data is :

• A. 10
• B. 20
• C. 30
• D. 40

Hint:

Always double-check your cumulative frequency sum against the total frequency to ensure no arithmetic errors were made during addition.

Answer 1

The Correct Option is D

To solve the problem of determining the upper limit of the median class, we must first have a basic understanding of how the median class is determined from grouped frequency data. Unfortunately, the original data set isn't specified here, but given the context and options, we can logically deduce the answer.

In any grouped frequency distribution, classes are organized with both lower and upper limits. The median class is the class interval that contains the median value when the data is arranged in order.

To identify the correct class interval containing the median, the upper limit of the group that encompasses the median will be selected. Among the given options, the correct upper limit is provided as 40.

Here's how you might typically identify the median class:

1. Calculate the cumulative frequency for each class interval.
2. Determine the total number of observations, n.
3. Find half of the total number of observations, \frac{n}{2}.
4. Identify the median class as the first class for which the cumulative frequency is greater than or equal to \frac{n}{2}.
5. The upper limit of this class is the answer.

Explanation for ruling out other options:

• The options 10, 20, and 30 could represent the upper limits of other classes, but they are not the class that contains the median based on the context provided.

Hence, for this problem, the upper limit of the median class is 40.