Class 10 Exam > Class 10 Videos > Mathematics (Maths) Class 10 > Median of Grouped Data
Median of Grouped Data Video Lecture | Mathematics (Maths) Class 10
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FAQs on Median of Grouped Data Video Lecture - Mathematics (Maths) Class 10
| 1. What is the definition of median in the context of grouped data? |  |
Ans. The median of grouped data is the value that separates the higher half from the lower half of the data set. In the context of grouped data, it is estimated using the cumulative frequency and the class intervals.
| 2. How do you calculate the median for grouped data? | |
Ans. To calculate the median for grouped data, first, identify the median class (the class interval containing the median). Then, use the formula: Median = L + [(N/2 - CF) / f] * h, where L is the lower boundary of the median class, N is the total number of observations, CF is the cumulative frequency of the class before the median class, f is the frequency of the median class, and h is the class width.
| 3. Why is it important to use the median instead of the mean for grouped data? | |
Ans. The median is often preferred over the mean for grouped data because it is less affected by extreme values (outliers). This makes it a more robust measure of central tendency, especially when the data is skewed.
| 4. What are the limitations of using the median for grouped data? | |
Ans. One limitation of using the median for grouped data is that it provides less information about the distribution of the data compared to the mean. Additionally, the accuracy of the median estimate can be affected by the width of the class intervals used.
| 5. Can the median be calculated for ungrouped data, and how does it differ from grouped data? | |
Ans. Yes, the median can be calculated for ungrouped data by arranging the data in ascending order and finding the middle value. Unlike grouped data, where intervals are used, ungrouped data gives the exact middle point without estimation.
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Dec 23, 2024 Last updated |
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