Unit 7. Day 10.

Quartile Activity ($, grades)

Example A: Find the median and the quartiles for the math quiz scores. 1, 4, 8, 7, 0, 9, 2, 7, 6, 3, 3, 4, 7, 5, 6, 1, 4, 9 Median: 0, 1, 1, 2, 3, 3, 4, 4, 4, 5, 6, 6, 7, 7, 7, 8, 9, 9 4.5 Quartiles: 0, 1, 1, 2, 3, 3, 4, 4, 4 5, 6, 6, 7, 7, 7, 8, 9, 9 LQ UQ

LQ: 3 UQ: 7 IQR: 4 This means: Example A: 1, 4, 8, 7, 0, 9, 2, 7, 6, 3, 3, 4, 7, 5, 6, 1, 4, 9 LQ: 3 UQ: 7 7 2 3 4 5 6 8 11 1 9 10 IQR: 4 This means: 50 % of the data is spread out over 4 spaces

Find the measures of center (mean & median) and measures of variability (range and Inter-Quartile Range)for the math quiz scores. Example B: 4, 9, 2, 5, 10, 1, 7, 3, 6, 8 Example C: 5, 6, 5, 6, 10, 1, 6, 6, 5, 5

Example B: Find mean & median (center) and range & IQR (variability) 4, 9, 2, 5, 10, 1, 7, 3, 6, 8 4+9+2+5+10+1+7+3+6+8 10 55 10 Mean: 5.5 Median: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 5.5 Range: 10−1 9 Quartiles: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 LQ IQR: 8−3 5 UQ

Example C: Find mean & median (center) and range & IQR (variability) 5, 6, 5, 6, 10, 1, 6, 6, 5, 5 5+6+5+6+10+1+6+6+5+5 10 55 10 Mean: 5.5 Median: 1, 5, 5, 5, 5, 6, 6, 6, 6, 10 5.5 Range: 10−1 9 Quartiles: 1, 5, 5, 5, 5, 6, 6, 6, 6, 10 LQ IQR: 6−5 1 UQ

CENTER VARIABILITY Mean: 5.5 Range: 9 Median: 5.5 IQR: 5 CENTER Example B: 4, 9, 2, 5, 10, 1, 7, 3, 6, 8 CENTER VARIABILITY Mean: 5.5 Range: 9 Median: 5.5 IQR: 5 Example C: 5, 6, 5, 6, 10, 1, 6, 6, 5, 5 CENTER VARIABILITY Mean: Range: 9 5.5 Median: 5.5 IQR: 1

5 1 IQR: LQ UQ IQR: LQ UQ Example B: 4, 9, 2, 5, 10, 1, 7, 3, 6, 8 2 4 8 10 LQ UQ Example C: 5, 6, 5, 6, 10, 1, 6, 6, 5, 5 1 IQR: 4 6 2 8 10 LQ UQ

Example D: Find the median and the IQR for the SAT verbal scores: 640, 740, 680, 770, 580, 610, 660, 700, 540, 670, 710, 630, 720, 600, 620, 680, 740, 650, 730 Median: 540, 580, 600, 610, 620, 630, 640, 650, 660, 670, 680, 680, 700, 710, 720, 730, 740, 740, 770 Quartiles: 540, 580, 600, 610, 620, 630, 640, 650, 660, 670, 680, 680, 700, 710, 720, 730, 740, 740, 770 LQ UQ IQR: 720−620 100

Box & Whisker Lower extreme Lower Quartile Median Upper Quartile Upper

Example B: Find the median and the quartiles for the SAT verbal scores: 640, 740, 680, 770, 580, 610, 660, 700, 540, 670, 710, 630, 720, 600, 620, 680, 740, 650, 730 Median: 540, 580, 600, 610, 620, 630, 640, 650, 660, 670, 680, 680, 700, 710, 720, 730, 740, 740, 770 Quartiles: 540, 580, 600, 610, 620, 630, 640, 650, 660, 670, 680, 680, 700, 710, 720, 730, 740, 740, 770 LQ UQ 500 550 600 650 700 750 800