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Range, Mode, Median and Mean

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• 1. Range
Mode
Median
Mean
What do they
all mean?
• 2. NEED TO KNOW!
ALWAYS ARRANGE THE VALUES IN A DATA SET IN ASCENDING (LEAST TO GREATEST) ORDER BEFORE SOLVING FOR RANGE, MODE, MEDIAN AND MEAN.
• 3. Range
obtained by subtracting the smallest value fromthelargestvalue
14, 17, 17, 21, 25, 28, 28, 28, 33
highest value = 33
lowest value = 14
range = 33 – 14 =
19
• 4. Central Tendency
single numerical value used to describe the average or typical value in a set of values
3 measures of central tendency
mode
median
mean
• 5. Mode
most frequent or popular value in a data set
determined by inspection
14, 17, 17, 21, 25, 28, 28, 28, 33
mode =
(get 28 three time, get 17 twice and all other values only once)
28
• 6. Median
counting average
the middle score
14, 17, 17, 21, 25, 28, 28, 28, 33
median =
With an odd number of values, the median is the middle value. However, with an even number of values, there are two middle values. Since the median can only be a single value, the median will have to be calculated with an even number of values. How can this be done?
25
• 7. Median cont’d
to figure out the median with an even number of values
find the two middle values
find the average of these values by adding the two values together and dividing by two
14, 17, 17, 19, 21, 25, 28, 28, 28, 33
two middle numbers = 21 & 25
21 + 25 = 46
median = 46 ÷ 2 =
23
• 8. Mean
arithmetic average
most widely used measure of central tendency
calculate by adding all the values together and dividing by the number of values
14, 17, 17, 21, 25, 28, 28, 28, 33
14+17+17+21+25+28+28+28+33 = 211
mean = 211 ÷ 9 =
23.4
• 9. REMEMBER
ALWAYS ARRANGE THE VALUES IN A DATA SET IN ASCENDING (LEAST TO GREATEST) ORDER BEFORE SOLVING FOR RANGE, MODE, MEDIAN AND MEAN.
• 10. LET’S
PRACTICE
• 11. Find the range, mode, median and mean of this data set.
21, 18, 26, 30, 15, 26, 12, 18, 29, 26, 14, 23
First arrange the numbers in ascending order…
12, 14, 15, 18, 18, 21, 23, 26, 26, 26, 29, 30
range = 30 – 12 = 18
mode = 26
median = 21 + 23 = 44 ÷ 2 = 22
12+14+15+18+18+21+23+26+26+26+29+30
12
mean = 258 ÷ 12 = 21.5
• 12. NOW FOR A STORY PROBLEM…
• 13. Amy works for a record store. For the past two weeks, she has kept track of the number of records that have sold each day.
Find the range, mode, median and mean of this data.