Lesson Plan- 16 A. Identification of Data: 1. Name of School : 2. Class : X 3. No. of students : 4. Duration : 5. Average age of students : 6. 7. 8. 9. 10. Subject : Mathematics Topic: STATISTICS Sub-topic: Mode of Grouped Data Name of Teacher: Date: B. General Objectives : 1. To represent central value of a set of observations. 2. To analyze to infer some useful information from it. 3. To describe the importance of the mode in real life situations. C. Special Objectives: At the end of the lesson students will enable : 1. To compute the mode of the grouped data in order to interpret the measures of central tendency. 2. To identify the mode from a grouped data. 3. To solve correctly and independently. D. Teaching Aids: 1. General aids: General classroom appropriates like blackboard, chalk pencil, duster, textbook, pointer etc. 2. Specific aids: A sheet and a chart related to this topic. E. Introduction: St Teach Teachers Activity Students Activity Lear ep ing ning s Points Outc ome I Recall Entering the classroom with a The students will stand up and greet the K N ing smiling face, the teacher will first teacher. N T the arrange the classroom if O R formu necessary. After the proper W O la for arrangement is done, The teacher L D calcul will ask some questions to Students will give the answers as E U ating students in order to test their D C the previous knowledge . G T mode 1. What is mode in statistics? 1. Answer: The value of the variable for E I for which the frequency is maximum is O ungro called mode N uped data. 2. The following data shows 2. Answer: Solution :- placing the the ages of 20 students in a number in ascending order :class 15,15,16,17,17,17,18,18,19,20,2 15,17,18,20,22,24,21,17,16 0,21,21,22,22,22,22,22,23,24 ,15,21,22,23,22,17,22,18,2 22 → 5 times present in series 2,19, 20 Obviously 22 years age belong to maximum number of students. After getting satisfactory Hence Mode is 22 year. responses from the students, The teacher will announce the topic by saying “Today we are going to Students will open their notebook and discuss about Mode of Grouped write down the topic. Data” and write the topic on the blackboard clearly. The teacher will ask the students to write the topic in their notebooks and then the teacher will observe their activities. F. Presentation: Teaching Points P R E s E N T A T I O N Demonstrate to understand the mode of the grouped data . Specific Objective Teachers Activity Students Activity To compute the mode of the given data in order to interpret the two measures of central tendency Teacher will explain the direct method for calculating the mode of grouped data as Mode is defined as the value of maximum frequency. If each value occurs only once then there is no mode or all the values are modes. Students will listen alternative ly to what teacher is saying. The process of computing mode in case of a grouped series or grouped frequency distribution with the help of formula involves the following steps;1. Determine the modal class). The class having the maximum frequency is called modal class . this is done either by inspection or by grouping method. 2. Determine the value of mode by applying the formula 𝑓1−𝑓𝑜 Z=l + 2𝑓 −𝑓 Xh −𝑓 1 𝑜 U N D E R D E R S T A N D I N G 2 ILLUSTRATION (1) The distribution wages in a factory is as follows , calculate the mode ; - P R E s E N T A T I O N Solution to the problem. To solve mode for a grouped data. Solution :-By inspection the maximum frequency is 16 hence the modal class is (30-40) . fO= frequency of the pre modal class (20 – 30) = 10 f1= frequency of the modal class (30 – 40) = 16 f2= frequency of the succeeding modal class (40 – 50) = 12 h= class interval Lower limit ,l= 30 ,Upper limit ,u = 40 Learni ng Outco me K N O W L E D G E Students will try to calculate the mode on their respective sheets. S K I L L S Z=30+ 16 – 10 2×16 −10 −12 X 10 =36 Therefore mode= 36 G. Closure: Steps C L O S U R E Teaching Activity The teacher will summarize the topic as, today we have the formula for calculating mode of a groped data. The formula is given by 𝑓 −𝑓 Z=l + 1 𝑜 X h Students Activity Students will listen carefully to the teacher about the summary. 2𝑓1 −𝑓𝑜 −𝑓2 Then the teacher will give some home assignment for the evaluation. Q: Find the mode and analyse the following data. (i) No. of students Marks (Out of 15) 15 – 20 20 – 25 30 – 35 35 – 40 40 – 45 45– 50 50 - 55 1 3 6 11 8 7 4 After the bell rings, the teacher will clean the blackboard , collect the teaching aids and leave the classroom with smiling face. They will note down the home assignment and will try to answer them. Students will greet the teacher by saying “Thank You!”