Measures of Central Tendency (Ex 24.2) Exercise 24.2 - Free PDF
FAQs on RD Sharma Class 9 Solutions Chapter 24 - Measures of Central Tendancy (Ex 24.2) Exercise 24.2
1. What are measures of Central Tendency?
The central tendency is the statistical measure that is used to represent the complete distribution. The central tendency of a given dataset uses a single value called a measure of central tendency. The measures of central tendency give an accurate description of the entire data in the distribution. These can be found out using multiple methods which depends upon the data type being provided. This is the measure of central tendency which class 9 students study in the chapter statistics.
2. What is Median as a measure of Central Tendency?
Median is one of the measures of central tendency. Median as the measure of Central Tendency is the value of the given set of data that is the middle-most observation, obtained after positioning the data in ascending order. The main benefit of using the median of a given set of data as a central tendency is that it is less affected by outliers and skewed data. Class 9 students can also calculate the median for different types of data, grouped data, or ungrouped data using the same median formula. Class 9 students can learn about the Median Formula at Vedantu's official site.
3. What is the relation between Measures of Central Tendency?
The central tendency of the given set of data can be found out using the 3 important measures that are mean, median, and mode.
This relation is also called an empirical relationship. The relation is-
2 Mean + Mode = Median
When class 9 students are asked to calculate the mean, median, and mode of continuous grouped data, then the student can calculate mean and median using the given data and then find mode using the empirical relation. This is the relation between Measures of Central Tendency. C
4. What are measures of Central Tendency for skewed distributions?
In a given data the skewed distribution is the distribution of data is skewed to the left, then the mean should be less than the median. Median is often less than the mode. When the distribution of the given data is skewed to the right, then the mode is less than the median, which is further less than the mean. These are measures of Central Tendency for skewed distributions that class 9 students study in the chapter statistics. Class 9 students can study more questions from RD Sharma and they can find the solutions at Vedantu's Official WebsiteVedantu app from the Google play store.
5. What are the four measures of central tendency?
In class 9 statistics, the central tendency of a given dataset can be found out using the 3 crucial measures namely mean, median, and mode. The four major measures of central tendency are-
Mean- Mean of a given set of numbers is the sum of all observations and divided by the total number of observations.
Median- Median of a given set of numbers is the middle or halfway value in an ordered (ascending or descending) set
Mode- The mode of given numbers is the most frequently occurring value in a data set.
Midrange- The midrange of a given set of numbers is the value between the greatest value and the lowest value.