5-measures-of-central-tendency-ungrouped-data.pptx

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1. Measures of Central Tendency STATISTICS

2. In this lesson, you will learn to: Find the mean, median, and mode of the ungrouped data Describe and illustrate the mean, median, and mode of the ungrouped data

3. Mean Median Mode ?

4. Mean

5. Activity 2: Who’s Representing? Sonya’s Kitchen received an invitation for one person from food exposition. The service crew are very eager to go. To be fair to al, Sonya decided to choose a person whose age falls within the mean age of her seven members.

6. Activity 2: Who’s Representing? Sonya’s Kitchen received an invitation for one person from food exposition. The service crew are very eager to go. To be fair to al, Sonya decided to choose a person whose age falls within the mean age of her seven members. She made a list such as below: Service Crew Age Manager 47 Cook A 21 Cook B 20 Cashier 19 Waiter A 18 Waiter B 18 Waitress 18 Questions: What is the mean age of the service crew? Is there someone in this group who has this age? How many persons are older than the mean age? How many are younger? Do you think this is the best measure of central tendency to use? Explain.

7. Take note how the mean is affected by extreme values. Very high or very low values can easily change the value of the mean. Do the next activity to solve the problems encountered.

8. Activity 3: Who’s in the Middle? From our previous example, the ages of the crew are given as 18, 20, 18, 19, 21, 18 and 47. Follow the steps below.

9. The middle value here or term in a set of data arranged according to size/magnitude (either increasing or decreasing) is called the median. Consider another situation in the next activity.

10. Median

11. Activity 4: The Newly-Hired Crew

12. Activity 4: The Newly-Hired Crew

13. The next activity is another measure of central tendency. Let’s try and discover the typical value we are looking for.

14. Activity 5: The Most Popular Size

15. No mode 3, 4, 4, 5 unimodal 3, 3, 4, 4, 5 bimodal 3, 3, 4, 4, 5, 5 trimodal multimodal

16. From this activity, what is the characteristic of this value that we are looking for? This typical value is what we call the mode. The next discussion will give us a clearer idea about the mode.

17. Mode

18. Try answering these items. Find the mode in the given sets of scores. {10, 12, 9, 10, 13, 11, 10} {15, 20, 18, 19, 18, 16, 20, 18} {5, 8, 7, 9, 6, 8, 5} {7, 10, 8, 5, 9, 6, 4} {12, 16, 14, 15, 16, 13, 14}

19. Practice Exercise Measures of Central Tendency for Ungrouped Data

20. Assignment

21. Let’s Summarize