1. The single-season home run record is now held by Barry Bonds of the San Franc
ID: 3355050 • Letter: 1
Question
1. The single-season home run record is now held by Barry Bonds of the San Francisco Giants, who hit 73 in 2001. Here are Bonds' home run totals
from 1986 (his first year) to 2003:
16 25 24 19 33 25 34 46 37 33 42 40 37 34 49 73 46 45
Bonds' record year is a high outlier. How do his career mean and median number of home runs change when we drop the record 73?
A. Median decreases more than the mean.
B. Mean and median decrease by the same amount.
C. Mean decreases more than the median.
D. Neither the mean or the median are affected.
2. Discuss the difference between a parameter and a statistic. Provide examples.
16 25 24 19 33 25 34 46 37 33 42 40 37 34 49 73 46 45
Explanation / Answer
1.
16 25 24 19 33 25 34 46 37 33 42 40 37 34 49 73 46 45
arranging is ascending order: 16 19 24 25 25 33 33 34 34 37 37 40 42 45 46 46 49 73
Count = 18
Median = 34+37 / 2 = 35.5
Mean = addition / 18 = 658/18 = 36.56
After removing 73
arranging is ascending order: 16 19 24 25 25 33 33 34 34 37 37 40 42 45 46 46 49
Count = 17
Median = 34
Mean = addition / 17 = 585/17 = 34.41
Mean decreases by (36.51 to 34.41) = 5.75%
Median changes by (35.5 to 34) = 4.23%
Thus, Option C
2.
A parameter is a characteristic of a population.
A statistic is a characteristic of a sample. Inferential statistics enables you to make an guess about a population parameter based on a statistic computed from a sample randomly drawn from that population
For ex. %voters who will vote for Trump in US here it will be parameter but we can not obtain population parameter
so we can select sample of 3000 people is US and obtain statistics from which we can conclude the parameter for population
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