Measures of RELATIVE POSITION_Mathematics10.pptx

Measures of Relative Position

1. Measures of Relative Frequency STATISTICS 1O1:

2. Welcome to the wonderful world of statistics!

3. Define the terms statistics and data. Compare and contrast qualitative data with quantitative data. Define the concepts of mean, median and mode. Today we will...

4. What is your understanding of the word statistics?

5. STATISTICS It is a branch of mathematics that deals with collecting, analyzing, interpreting, and presenting data. Statistics helps in gathering information, understanding patterns, and making inferences about the world around us.

6. DATA Refers to any facts or figures that are collated with the intention of being presented, interpreted, and analyzed.

7. Qualitative Quantitative Data may be: Data that describes characteristics or qualities. Data that is quantified or measured. Usually deals with language Usually deals with numbers.

8. STATISTICAL ANALYSIS is a specific method for analyzing quantitative research data. In statistics, it is important to find the mean, median, and mode.

9. The average of a data set. Mean The middle value in a set of data. Median The most common number in a set of data. Mode In a Nutshell:

10. For Example BOYS There are 4 boys in a 9th-grade class. Find the mean, median, and the mode of using this set of data: HEIGHT IN CM Luke Mike Ian Connor 176 178 178 189

11. Formula for finding the Mean Mean = Sum of Observations Total Number of Observations

12. Add all values in the data set. Divide by the number of values in the set. To find the Mean: In this example this would be: 176 + 178 + 178 + 189 = 721 The mean, then, is 180.25 cm.

13. Formula for finding the Mode Mode = L + h Where: 'L' - Lower limit of the modal class 'h' - Size of the class interval ' ' - frequency of the modal class ' ' - frequency of the class preceding the modal class ' ' - frequency of the class succeeding the modal class

14. Arrange all numbers in ascending order The number that appears most often is referred to as the mode. To find the Mode: In this example this would be: 176, 178, 178, 189 It is easy to see that the mode is 181, as it is the only one that occurs twice.

15. Formula for finding the Median NOTE: There are different formulas for odd and even numbers. Wherein n= number of observations If 'n' is odd: If 'n' is even: Median = term Median = term term + 2

16. You simply arrange all numbers in ascending order Determine the number in the middle. To find the Median: In this example, however, since it is an even number, there are two numbers in the middle. 176, 178 , 178 , 189 If you have an even number, you take the average of these numbers. The median in this example is 178 as well.

17. The Mode shows up the most. The Median is the middle. Here's an easy way to remember-- The Mean is the average.

18. Thank you! Tomorrow, we will apply these concepts to more complex problems.

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