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Continuous Data: Find Median - Statistics, General Studeis, UPSC Mains Exam Video Lecture
FAQs on Continuous Data: Find Median - Statistics, General Studeis, UPSC Mains Exam Video Lecture
| 1. What is continuous data and how is it different from categorical data? |  |
Ans. Continuous data refers to numerical data that can take any value within a certain range. It can be measured and is typically represented by real numbers. On the other hand, categorical data consists of distinct categories or groups. The main difference is that continuous data can be measured on a continuous scale, while categorical data represents different groups or categories.
| 2. How is the median calculated for continuous data? | |
Ans. To calculate the median for continuous data, you need to follow these steps:
1. Arrange the data in ascending order.
2. If the number of data points is odd, the median is the middle value.
3. If the number of data points is even, the median is the average of the two middle values.
| 3. Why is the median preferred over the mean for skewed continuous data? | |
Ans. The median is preferred over the mean for skewed continuous data because it is less affected by extreme values or outliers. Skewed data often has a long tail on one side, pulling the mean towards that direction. The median, being the middle value, is more resistant to outliers and provides a better representation of the central tendency in such cases.
| 4. How does finding the median help in understanding the distribution of continuous data? | |
Ans. Finding the median helps in understanding the distribution of continuous data by providing a measure of central tendency. It gives us insight into the middle value or the point where the data is relatively balanced. Additionally, by comparing the median to the mean, we can determine if the data is symmetric or skewed. If the median and the mean are close, the data is likely to be symmetric, while a significant difference suggests skewness.
| 5. Can the median be calculated for non-numeric continuous data? | |
Ans. No, the median cannot be calculated for non-numeric continuous data. The median relies on the ordering of values, which is not possible for non-numeric data. The median is specifically applicable to numerical data that can be arranged in a meaningful order. For non-numeric continuous data, alternative measures of central tendency, such as the mode, may be used.
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Dec 14, 2024 Last updated |
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