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

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

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

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

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

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

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

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!

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

110, 112, ___, 124, 136, ___ median = 120 AND range = 46 Find the missing number 116 156 110, 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! 46 + 110 = 156

___, 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