2) To the right is a histogram showing the total number of2 adoptions in each of

Question

2) To the right is a histogram showing the total number of2 adoptions in each of the 50 states and the District of Columbia. Use it to answer the following questions: a) What is the best measure for the center if this 15 data, the mean or median? (1 point) 5 10 b) What is the best measure for the spread of this data, the standard deviation, range or IQR? (1 point) Why did your choose answers for parts (a) and (b)? (1 point) c) 0 1000 2000 3000 4000 5000 6000 d) Would you expect the mean number of adoptions Number of Adoptions or the median number of adoptions to be higher? Explain your reasoning. (2 points) 3) After entering test scores from her statistics class, the instructor calculates the mean and the median and finds that the mean is significantly smaller than the median? What might this imply about the shape of the distribution of her students' test scores? (2

Explanation / Answer

2 a.) The best measure for the center of this data is the median as it is

b.) The best measure for the spread of this data is IQR

C.) Median is choosen to be the best measure for the center as median is unaffected by extreme observations which in this case can be seen towards the left of the histogram.

IQR is choosen to be the best for measuring the spread as it can be helpful to detect outliers which we can clearly see in the histogram.

d.)Mean number of adoptions would be higher than the median number of adoptions as from the histogram we can see that the curve of data is skewed towards the right.

3.)when mean is smaller than the median it implies that the data is left skewed or negatively skewed.

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