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Mindmap: Mean and Median | Mathematics Class 6 ICSE PDF Download
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FAQs on Mindmap: Mean and Median - Mathematics Class 6 ICSE
| 1. What is the difference between mean and median? |  |
Ans. The mean is the average of a set of numbers, calculated by adding all the values together and dividing by the number of values. The median, on the other hand, is the middle value when a set of numbers is arranged in ascending or descending order. If there is an even number of values, the median is the average of the two middle numbers.
| 2. How do you calculate the mean of a set of numbers? | |
Ans. To calculate the mean, follow these steps:
1. Add all the numbers together to get a total sum.
2. Count how many numbers are in the set.
3. Divide the total sum by the count of numbers.
For example, for the numbers 4, 8, and 10: (4 + 8 + 10) = 22, and there are 3 numbers, so the mean is 22 ÷ 3 = 7.33.
| 3. How do you find the median in a given set of numbers? | |
Ans. To find the median, first arrange the numbers in order from smallest to largest. If there is an odd number of values, the median is the middle number. If there is an even number of values, calculate the median by taking the average of the two middle numbers. For example, in the set 3, 1, 4, the ordered set is 1, 3, 4, so the median is 3. In the set 1, 2, 3, 4, the ordered set is 1, 2, 3, 4, and the median is (2 + 3) ÷ 2 = 2.5.
| 4. Why is it important to understand mean and median? | |
Ans. Understanding mean and median is important because they provide insights into data sets. The mean gives an overall average, which can be useful for understanding general trends, while the median helps to identify the middle point, which is less affected by extreme values or outliers. This is especially useful in fields like statistics, economics, and social sciences where data analysis is crucial.
| 5. Can the mean and median be the same? | |
Ans. Yes, the mean and median can be the same, particularly in a perfectly symmetrical distribution, such as the normal distribution. In such cases, the average (mean) and the middle value (median) will coincide. However, in skewed distributions, the mean and median will differ, with the mean being pulled in the direction of the tail.
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Aug 10, 2025
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