3.1
- The mean will be greater than the median because there are large observations in the right tail that increase the value of the mean, and have little effect on the median.
- (10000+1)/2 =5000.5 The median is thus between the 5000th and the 5001st values..
- False.
- (20+13+4+8+10)/5 = 11
- (83+65+91+87+84)/5 = 82
- (3+6+10+12+14)/5 = 9
- (1+19+25+15+12+16+28+13+6)/9 = 15
- 218469636/82556 = $2646
- (21+x)/2 = 26.5 -> (26.5*2)-21 = 32 is the missing value.
3.2
- Zero
- mean, mean, dispersion
- True
- (20+13+4+8+10)/5 = 11, ((20-11)2+(13-11)2+(4-11)2+(8-11)2+(10-11)^2) = 144, 144/(5-1) = 36 is the variance. Standard deviation is ???36 = 6
- (83+65+91+87+84)/5 = 82, ((83-82)2+(65-82)2+(91-82)2+(87-82)2+(84-82)^2) = 400, 400/(5-1) = 100 is the variance. Standard deviation is ???100 = 10
- (3+6+10+12+14)/5 = 9, ((3-9)2+(6-9)2+(10-9)2+(12-9)2+(14-9)^2)/5 = 16 is the variance. Standard deviation is ???16 = 4
- (1+19+25+15+12+16+28+13+6)/9 = 15, ((1-15)2+(19-15)2+(19-15)2+(25-15)2+(12-15)2+(16-15)2+(28-15)2+(13-15)2+(6-15)^2)/9 = 65.78 is the variance. Standard deviation is 8.11.