Lesson Plan in Mathematics 7 Learning Competency/ies Illustrates the Measure of Central Tendency (mean, median, and mode) of a statistical data. M7SP-IVf-1 Calculate the Measure of Central Tendency of ungrouped data. M7SP-IVg-1 I-Learning Objectives At the end of the lesson, the students are expected to: Define mean, median, and mode of a given set of data, Compute the mean, median, and mode and Manifest teamwork through group activity. II- Subject Matter Topic: Measure of Central Tendency of Ungrouped Data Reference:http://steemit.com/Philippines/@periwinkle256/measures-of-centraltendency-for-ingrouped-data-mean-median-and-mode-for-ungrouped-data Materials: Chalkboard, Chalk, marker, laptop, multimedia projector/television, activity sheets III- Learning Procedure A. Preliminary Activities o Prayer o Greetings o Classroom management o Attendance o Checking of assignment B. Lesson Proper 1. Activity The Class will be divided into four groups and each group will do the following. List down all their names and ages Find the average of their ages Find the middle age. What age is repeating? What is the lowest age? What is the highest age? The first group who will finish the activity will have an additional of 5 points. 2. Analysis a. How did you find working the activity? b. How did you deal it with your group? c. What do you think is the purpose of this activity? d. What do you think is our topic today? C. Abstraction In statistics, a central tendency (or measure of central tendency) is a central or typical value for a probability distribution. It may also be called a center or location of the distribution. Colloquially, measures of central tendency are often called averages. When we say central tendency, it talks about Mean, Median, and mode. What is Mean? Mean or “average” is the most commonly used measure of central tendency. It is defined as the sum of all the data scored divided by the number of scores. How to get the mean? 𝑴𝒆𝒂𝒏 = 𝒔𝒖𝒎 𝒐𝒇 𝒂𝒍𝒍 𝒕𝒉𝒆 𝒅𝒂𝒕𝒂 𝒅𝒊𝒗𝒊𝒅𝒆𝒅 𝒃𝒚 𝒕𝒉𝒆 𝒏𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒔𝒄𝒐𝒓𝒆𝒔 Example 1: The grades of Grade 7 students in Math were as follows: 80, 81, 83, 84 80 + 81 + 83 + 84 𝑀𝑒𝑎𝑛 = 4 328 𝑀𝑒𝑎𝑛 = 4 𝑀𝑒𝑎𝑛 = 82 Example 2: The five players of basketball team have the scores of 10, 15, 20, 10, and 25. 10 + 10 + 15 + 20 + 25 𝑀𝑒𝑎𝑛 = 5 80 𝑀𝑒𝑎𝑛 = 5 𝑀𝑒𝑎𝑛 = 16 What is Median? Median- is the value which occupies the middle position when all the observations are arranged in an ascending/descending order. Rule: Arrange the data in order, from least to greatest (greatest to least). Example 1: Arrange data from least to greatest. Then find the middle score. 10, 15, 20, 10, 15 10, 10, 15, 20, 25 Median = 15 Note: When the total number of observations are even, add the two middle numbers then divided by 2 to get the median. Example 2: 80, 80, 83, 84, 85, 87, 88, 89, 90, 94 Since the middle point falls halfway between 85 and 87, so in order to get the median, we need to get the mean of these two values. 85 + 87 2 172 𝑀𝑒𝑎𝑛 = 2 𝑀𝑒𝑑𝑖𝑎𝑛 = 86 𝑀𝑒𝑎𝑛 = What is Mode? Mode is defined as the value that occurs most frequently in the data. Some data sets do not have a mode because each value occurs only once. Example 1: 80, 80, 83, 84, 85, 87, 88, 89, 90, 94 Mode = 80 Example 2: 21, 23, 25, 26, 24, 27, 21 Mode = 21 On the other hand, some data sets can have more than one mode. This happens when the data set has two or more values of equal frequency which is greater than that of any other value. Types of mode 1. Unimodal- only one mode 2, 4, 6, 8, 10, 12, 8 = the mode is 8 2. Bimodal- two modes 2, 4, 6, 8, 10, 12, 8, 6 = the modes are 6 and 8 3. Trimodal – three modes 2, 4, 6, 8, 10, 12, 8, 6, 12 = the modes are 6, 8, and 12 4. Multimodal- more than three modes 2, 4, 6, 8, 10, 12, 8, 6, 12, 2 = the modes are 2, 6, 8, and 12 D. Application (Group Activity) Let’s now have a drill. You have two minutes to collect data from your group mates. Ask the question and record the data. 1. What is your shoe size? a. Find the mean b. Find the median c. Find the mode E. Assessment (1/2 crosswise) A student has gotten the following grades on his tests: 87,85,78,87 and 95. find the: a. Mean b. Median c. Mode Solution: Mean = 87+85+78+87+95 5 = 432 5 = 86. 4 Median= 87 Mode=87 F. Assignment: Contextualization. Ask the students to recall their grades for the 3rd Grading Period. Ask them to find the mean, the median and the mode and write their answers in a 8”x11” (short) bond paper. Prepared by: MARIA KRISHA D. LUTAO JHS Teacher Applicant