Measures of Central Tendency of Grouped Data.pptx

Statistics lesson. Measures of central tendency of grouped data in mathematics for grade 7. Mathematics 7. Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of central tendency of grouped data Measures of

1. Measures of Central Tendency of Grouped Data Grade 7

2. Frequency Distribution Table SCORE Frequency F Lower Boundary (LB) Upper Boundary (UB) Class mark X = LB+UB 2 FX Less than cumulative frequency (< cf ) 46-50 2 45.5 50.5 48 96 20 41-45 2 40.5 45.5 43 86 18 36-40 5 35.5 40.5 37 185 16 31-35 7 30.5 35.5 33 231 11 26-30 4 25.5 30.5 28 112 4 i =4 N=20 ∑FX= 710

3. Therefore, the median of the 4th Periodical Test is 34.79 (Note: The median 34.79 falls within the class boundaries of 30.5-35.5

4. Measures of Dispersion of Grouped Data Grade 7

5. Frequency Distribution Table SCORE Frequency F Lower Boundary (LB) Upper Boundary (UB) Class mark X = LB+UP 2 FX Less than cumulative frequency (< cf ) 46-50 2 45.5 50.5 48 96 20 41-45 2 40.5 45.5 43 86 18 36-40 5 35.5 40.5 37 185 16 31-35 7 30.5 35.5 33 231 11 26-30 4 25.5 30.5 28 112 4 i =4 N=20 ∑FX= 710

6. Frequency Distribution Table SCORE Frequency F Lower Boundary (LB) Upper Boundary (UB) Class mark X = LB+UB 2 FX Less than cumulative frequency (< cf ) I x- x I F 46-50 2 45.5 50.5 48 96 20 48 – 35.5 =13.5 182.25 364.5 41-45 2 40.5 45.5 43 86 18 43 – 35.5 =8.5 72.25 144.5 36-40 5 35.5 40.5 37 185 16 37 – 35.5 =2.5 6.25 31.25 31-35 7 30.5 35.5 33 231 11 33 – 35.5 =2.5 6.25 43.75 26-30 4 25.5 30.5 28 112 4 28 – 35.5= 7.5 56.25 226.08 i =4 N=20 ∑FX= 710 ∑FX =834.83 SCORE Frequency F Lower Boundary (LB) Upper Boundary (UB) Class mark X = LB+UB 2 FX Less than cumulative frequency (< cf ) I x- x I 46-50 2 45.5 50.5 48 96 20 48 – 35.5 =13.5 182.25 364.5 41-45 2 40.5 45.5 43 86 18 43 – 35.5 =8.5 72.25 144.5 36-40 5 35.5 40.5 37 185 16 37 – 35.5 =2.5 6.25 31.25 31-35 7 30.5 35.5 33 231 11 33 – 35.5 =2.5 6.25 43.75 26-30 4 25.5 30.5 28 112 4 28 – 35.5= 7.5 56.25 226.08 i =4 N=20 ∑FX= 710 ∑FX =834.83 Midpoint Mean= 35.5

7. Frequency Distribution Table SCORE Frequency F Lower Boundary (LB) Upper Boundary (UB) Class mark X = LB+UB 2 FX Less than cumulative frequency (< cf ) I x- x I FI x- x I 46-50 2 45.5 50.5 48 96 20 48 – 35.5 = 12.5 41-45 2 40.5 45.5 43 86 18 43 – 35.5 = 7.5 36-40 5 35.5 40.5 37 185 16 37 – 35.5 = 1.5 31-35 7 30.5 35.5 33 231 11 33 – 35.5 = 2.5 26-30 4 25.5 30.5 28 112 4 28 – 35.5 = 7.5 i =4 N=20 ∑FX= 710 Midpoint Mean= 35.5