1. Appropriate Measures & Extra Mean, Median, Mode, Range Practice
Ch. 3.1F

2. Which is the Appropriate Measure?
Mean – when the data have NO extreme values
12, 15, 15, 17, 20, 21
Median – when the data HAS extreme values
when there are BIG GAPS in the MIDDLE
55, 85, 90,100 or 9,9,10,22, 23,26
Mode –when the data has MANY repeated numbers
65, 70, 70, 70, 85, 90, 90, 90, 100

3. Ex. 1 – 175, 300, 325, 350, 350, 400
Median, 175 is an OUTLIER
Ex. 2 – 8, 12, 6, 4, 2, 0, 10
Mean, there are NO extreme values!
Lets see you try it…
Ex. 3 – 12,12, 15, 14, 13, 15, 12, 12
Mode, 12 is repeated MANY times
Ex. 4 – 44, 22, 50, 24
Median, there is a GAP in the middle

4. 6, 9, 2, 4, 3, 6, 5
Mean: Median:
Mode: Range:
2, 3, 4, 5, 6, 6, 9
= 35/7 5 5
9 – 2 =7 6

5. 1, 15, 9, 12, 18, 9, 5, 14, 7
1, 5, 7, 9, 9, 12, 14, 15, 18
Mean: Median:
Mode: Range:
= 90/9 10 9
18 – 1 = 17 9

6. 13, 7, 17, 19, 7, 15, 11, 7
7, 7, 7, 11, 13, 15, 17, 19
Mean: Median:
Mode: Range:
= 96/8 12 12
19 – 7 = 12 7

7. 21, 23, 43, 34, 27, 32, 28, 32
21, 23, 27, 28, 32, 32, 34, 43
Mean: Median:
Mode: Range:
= 240/8 30 30
43 – 21 =22 32

8. Find the missing number
8 8
7, 7, 8, ___, ___, 14 mode = 8
There are already two 7’s so you need MORE than two 8’s!

9. Find the missing number
10, 15, 20, 20, 25, ___ mean = 20 30
1st 20 x 6 =
2nd 120 – 90 =

10. 110, 112, ___, 124, 136, ___ median = 120 AND range = 46
Find the missing number
110, 112, ___, 124, 136, ___ median = 120 AND range = 46
Work them backwards!
Median:
120 x 2 = 240 then 240 – 124 = 116
Range:
You need the bigger number!
= 156

11. ___, 52, ___, ___, 72, 78 mean = 60, mode = 52, range = 28
Find the missing number 50
52 56
___, 52, ___, ___, 72, 78 mean = 60, mode = 52, range = 28
Range:
You need the smaller number!
78 – 28 = 50
Mode:
You need at least two 52’s but you don’t need three!!!
Mean: 60 x 6 = 360, then 360 – 304 = 56