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Sagot :
Answer:
- See below
Step-by-step explanation:
Definitions
- Mean - average number
- Median - the middlepoint of the data set
- Mode - the most repeated data in the set
- Range - the difference between the minimum and maximum values of data set
- First quartile - Q1, the median of the lower half of the data set
- Third quartile - Q3, the median of the upper half of the data set
- IQR - the difference of Q3 and Q1
Step 1
Put the data in the ascending order
- a) 1, 3, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 12, 14, 16, 16
- b) 5, 7, 7, 8, 9, 10, 10, 85, 90, 95, 105, 115
Step 2
Find all the numbers
a)
- Mean = (1+3+ 5+ 6+ 7+ 7+ 8+ 9+ 10+ 11+ 11+ 12+ 12+ 14+ 16+ 16)/16 = 9.25
- Median = (9 + 10)/2 = 9.5
- Mode = none
- Range = 16 - 1 = 15
- Q1 = (6 + 7)/2 = 6.5
- Q3 = 12
- IQR = 12 - 6.5 = 5.5
- The data is almost uniform as the mean and median are very close
b)
- Mean = (5+ 7+ 7+ 8+ 9+ 10+ 10+ 85+ 90+ 95+ 105+ 115)/12 = 45.5
- Median = 10
- Mode = none
- Range = 115 - 5 = 110
- Q1 = (7 + 8)/2 = 7.5
- Q3 = (90 + 95)/2 = 92.5
- IQR = 92.5 - 7.5 = 85
- The data is skewed left as the mean and median are too differenet
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