DETAILED LESSON IN GRADE 11 – STATISTICS AND PROBABILITY I. II. OBJECTIVES A. Learning Competencies: At the end of the lesson, 75% of the students will be able to: a. identify the mean, median and mode. b. apply the concepts of mean, median and mode in real-life situations, and c. solve for the mean, median and mode using grouped data. SUBJECT MATTER Concept: Measures of Central Tendency (Grouped Data) References: Materials: chalk, blackboard, cartolina, manila paper, laptop, PowerPoint presentation Core Values: Accuracy, Critical Thinking III. PROCEDURE Teacher Activity A. PRELIMINARY ACTIVITIES “Good morning” Student Activity Students do the task. “Please, erase the writings on the board.” “Kindly arrange your chairs and pick up pieces Students do the task. of paper and plastics.” “Good morning, class.” “Please, settle down.” B. MOTIVATION C. ACTIVITY “I have an activity here, prepare ½ crosswise. Let’s see if you learned something about the lesson last meeting. The following grades of students in calculus class. And find the mean, median and mode. Show your solutions. 90 87 89 88 87 89 91 86 89 87 86 90 “Class, so you have 10 minutes to finish your work. You may start now.” “And if you are done, pass your papers in front.” D. ANALYSIS Based on your activity, let’s recall on how to find the mean, median and mode using ungrouped data. “First, we have the mean” MEAN - is the most commonly used measure of central tendency. Good morning, sir Thank you. - average value “The formula in finding the mean using ungrouped data as we discussed last meeting” (The teacher shows the formula for the mean of ungrouped data) “Any questions for the formula of mean of ungrouped data?” “Next, we have the median.” MEDIAN - the midpoint of the data. Before finding this value, the data must be arranged in order from least to greatest. It will either be a specific value or will fail between two values. (The teacher shows the formula for the median of ungrouped data) “Any questions for the formula of median of ungrouped data?” “And last, we have the mode.” MODE - it is the value that occurs most often in the data set. - The number/ value/ observation in a data set which appears the most number of cases. “Any questions about the measures of central tendency of ungrouped data?” “If none, let’s proceed to the grouped data.” “But before we proceed to the grouped data, Last time, we discussed about the frequency distribution table, right? “And how to find the range, class mark, frequency, class boundaries, right?” “Okay, so let’s proceed to the grouped data.” Measures of central tendency for grouped data. “Again, we have the mean.” (The teacher shows the formula for the mean of grouped data.) “Next, we have the MEDIAN.” (The teacher shows the formula for the median of grouped data.) E. ABSTRACTION F. APPLICATION