Grade-7 Measures of Variability Demo Ranking PDF

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Detailed Lesson Plan for Demo TeachingGRADE 7 (MATHEMATICS)Prepared By: Je-Ann Tayone LugpitLearning Competency: Calculates the measures of variability of grouped data and ungrouped data.I. OBJECTIVES At the end of the lesson, the students will be able to:  Identify the measures of variability of u...

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Detailed Lesson Plan for Demo Teaching GRADE 7 (MATHEMATICS) Prepared By: Je-Ann Tayone Lugpit Learning Competency: Calculates the measures of variability of grouped data and ungrouped data. I.

II.

III.

OBJECTIVES At the end of the lesson, the students will be able to:  Identify the measures of variability of ungrouped data: range and mean deviation;  Link the concept of measures of variability in real life context;  Solve the measures of variability of ungrouped data: range and mean deviation SUBJECT MATTER TOPIC: Measures of Variability of Ungrouped Data: Range and Mean Deviation REFERENCE: Mathematics 7 Module MATERIALS: Laptop, TV, Chalk, Activity Materials INSTRUCTIONAL PROCEDURE

TEACHER’S ACTIVITY STUDENT’S ACTIVITY A. DAILY ROUTINE 1. Prayer Class, let’s all stand for our A student will lead the prayer. prayer. Good Morning, Miss Lugpit. 2. Greetings Good Morning/ Good Afternoon class. 3. Checking of Attendance REMINDERS: Obey and follow Ma’am. Let me remind you our classroom rules. 1. Raise your hand if you want to answer. 2. No using of cellphones. 3. Respect each other. What are you going to do with these rules? That’s Right! B. Activating Prior Knowledge The mean for set A ma’am is 14, while in 1. Class, using your understanding of set B it is also 14. the concept of the ‘measures of central tendency”. Given the data below, find the mean of the data. SET A: 4, 10, 12, 20, 24 SET B:

12,13,14,15,16 What is the mean for set A and set B? 2. Review/Motivation Draw a number line of each of the set and plot the data. SET A: 4, 10, 12, 20, 24 4 10 12 SET B: 12, 13,14, 15, 16

20

The set that has a long line is Set A while the short line is Set B.

Students answer may vary.

24

12 13 14 15 16

Based from the number line class, which MEASURES OF VARIABILTY OF UNGROUPED DATA: RANGE & MEAN set has a long line and a short line? DEVIATION Good! The lines represent the spread of the data and it shows that Set A is more spread than Set B. Do you know the exact term which refers the spread of the data? Indulge yourself as we discuss about MEASURES OF VARIABILTY OF UNGROUPED DATA: RANGE & MEAN DEVIATION EVERYBODY READ!

Student’s answer may vary.

Yes, Ma’am. *Statement of Objectives Listen carefully class because at the end of the lesson you are expected to:  Identify the measures of variability of ungrouped data: range and mean deviation;  Link the concept of measures of Yes, we are ready! variability in real life context;  Solve the measures of variability of ungrouped data: range and mean deviation C. Lesson Development 1. Activity Class, are you familiar with term “measures of variability”? In our drill earlier, we compare the distance of spread of set A and set B, right? That process is a way of knowing the spread of the data and determining the consistency of data which is essential of The students will answer: the measure of variability.

To learn more about the measures of variability and its types we will conduct an activity. Are you ready?

R A N G E

Let us start our activity entitled “CONNECTIWORD”. The class will be divided into two groups, each group will select their group leader. The activity is for only 3 minutes. Once the time is done, the student will submit their work. In the activity, the students will arrange the shuffled words by sequencing the clues indicated below the letters. Each group will select a representative that will pick the words to be arranged and a representative The students will answer: to recite the sequence that they created.

ME Number 1:

G And she discovers that she doesn’t need to plot the points.

E Simply subtract the highest score with the lowest score of the data

AN

DE VI AT IO N R Mel has a raw score of 5,6,7,8,9,10in Math.

N SO, SHE DRAWS A NUMBER LINE AND PLOTS THE POINTS.

A

We were tasked to arrange the letters based on the clues below the letters ma’am.

She wants to determine the spread of her scores.

Number 2:

AN So, she decided to get the distance by determining first the mean.

N MD=

∑ of ab ∑ of th

IO Lastly, she comes up with equation of

VI Then, she continues subtracting the data to the mean and ensures to get the absolute value of the result.

The word ma’am is RANGE. Example 1: Mel has a raw score of 5,6,7,8,9,10 in Math. She wants to determine the spread of her scores. So, she draws a number line and plots the points and she discovers that she doesn’t need to plot the points, simply subtract the highest score with the lowest score of the data.

DE The mean is 7.5 and she subtracted the individual data of Math to the mean.

AT Then, she adds all the data in absolute value and divided the sum of by the number of data.

ME Mel has a raw score of 5, 6, 7, 8, 9,10in Math and wants to find out the spread of her scores.

She subtract the lowest score from the highest score, ma’am.

RANGE- subtract the lowest and the highest observations in a given set of data. R=H −L

2. ANALYSIS What did we do in our activity?

Correct. What is the word for number 1? Kindly read the description on each letter.

Ma’am the range of her scores in Math is 5. Thank You! In order to find the spread of the scores of None, ma’am. Mel, what did she discover? That’s right. The discovery of Mel is the definition of range which we will subtract The answer ma’am is MEAN the lowest score from the highest score. Everybody read the definition of range. DEVIATION. Example 2: Mel has a raw score of 5,6,7,8,9,10 in Math and wants to find out the spread of What will be the range of the scores? her score. So, she decided to get the R=H −L distance by determining first the mean. MATH: The mean is 7.5 and she subtracted the R=10 −5 individual data of Math to the mean. R=5 Then, she continues subtracting the data to the mean and ensures to get the What is the range of the scores of Mel in absolute value of the result. Then, she Math? adds all the data in absolute value and Excellent! Therefore, Mel’s score in Math is divided the sum of by the number of less spread from the mean. data. Are there questions on how to solve for the Lastly, she comes up with equation of range? ∑ of absolute value of the difference So, let’s proceed to the 2nd word. between the data∧the mean MD= What is the answer for the shuffled letter in ∑ of the number of no. 2? Kindly recite the description below data the letters.

MEAN DEVIATION- refers to the average of the absolute values of the difference of the observations from the mean. Formula: ∑ of absolute value of the difference between the data∧the mean MD= Based from our description, Mean ∑ of the number of Deviation is the sum of the absolute value data of the difference of observations from the mean divided by the sum of number of data. Everybody read its definition and formula.

In order for us to be guided in solving for the MEAN DEVIATION, we have to follow these steps. Steps to follow: 1. Arrange the values from lowest to highest. 2. Solve for the mean, x 3. Find the deviation, x-x 4. Get the absolute values of the deviation in step3. 5. Find the sum of the absolute values in step 4. 6. Divide the sum of the absolute values by sum of the number of data. Solution: What is out step1? That’s right! Therefore, 5,6, 7, 8, 9,10 What is the step 2? Correct. Therefore, 5+6 + 7 + 8 + 9 +20 x= 6 x=7.5 In our description what did Mel find first? What is the mean? Do we have the same answer with Mel? Now, what is the 3rd step? Excellent. Therefore the deviation, x−x

Step 1: Arrange the values from lowest to highest.

Step 2: Solve for the mean ma’am.

She find first the mean ma’am. The mean is 7.5, ma’am. Yes, ma’am. Step 3: Find the deviation, x-x

The students answer may vary. Step 4: Get the absolute values of the deviation in step 3....