1. Unit 7. Day 10.

2. Quartile Activity
($, grades)

3. 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

4. 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

5. 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

6. Example B: Find mean & median (center) and range & IQR (variability) 4, 9, 2, 5, 10, 1, 7, 3, 6, 8
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

7. Example C: Find mean & median (center) and range & IQR (variability) 5, 6, 5, 6, 10, 1, 6, 6, 5, 5
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

8. 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

9. 5 1 IQR: LQ UQ IQR: LQ UQ Example B: 4, 9, 2, 5, 10, 1, 7, 3, 6, 8 2 48 10 LQ UQ
Example C: 5, 6, 5, 6, 10, 1, 6, 6, 5, 5 1
IQR: 4 6 2 8 10 LQ UQ

10. Example D: Find the median and the IQR for the SAT verbal scores: , 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

11. Box & Whisker Lower extreme Lower Quartile Median Upper Quartile Upper

12. Example B: Find the median and the quartiles for the SAT verbal scores: , 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