NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.2Question 4
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.2
Question. 4
Will the median class and modal class of grouped data always be different? Justify your answer.
Answer:
False
Detailed Answer with Explanation:
Step 1: Recall the meaning of median class.
The median class is the class interval where the middle value (median) lies. It depends on the cumulative frequency.
Step 2: Recall the meaning of modal class.
The modal class is the class interval with the highest frequency. It depends only on the maximum frequency.
Step 3: Compare them.
Since both depend on frequencies, sometimes the same class may turn out to be both the median class and the modal class.
Step 4: Conclusion.
Therefore, it is not necessary that they are always different. They may be the same or different, depending on the data.
Hence, the statement is false.