Answers:
- a) Mean = 16.8
- b) Median = 20
- c) Modes = 12, 22
More than one mode is possible.
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Step-by-step explanation:
Part a)
Original Set = {12,13,23,21,11,20,22,24,5,22,23,12,22,12,10}
Sorted Set = {5,10,11,12,12,12,13,20,21,22,22,22,23,23,24}
Add up the data values
5+10+11+12+12+12+13+20+21+22+22+22+23+23+24 = 252
Divide by n = 15 since there are this many data values
252/15 = 16.8
Mean = 16.8
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Refer to the sorted set shown above.
The median is in slot n/2 = 15/2 = 7.5 = 8
Count 8 spaces and you should get to the value 20
Median = 20
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The mode is/are the most frequent item(s).
The two modes are 12 and 22 because they each repeat three times, the most of any other value. It's possible to have 0 modes, 1 mode, or more than 1 mode.
Modes = 12, 22