Following are a simple random sample of heights (in inches) of nandina bushes grown in a nursery. all bushes are of the same species:

24.4

32.8

39.9

31.0

33.0

48.7

51.5

54.0

53.0

54.0

31.0

30.1

30.9

33.7

34.0

53.0

47.5

46.7

49.4

51.1

33.7

35.8

32.9

30.7

23.6

49.4

50.9

50.7

52.5

52.2

30.7

22.3

34.9

20.9

31.1

52.5

49.5

49.0

47.4

54.7

20.9

31.9

22.9

32.8

24.4

47.4

54.3

50.9

51.5

48.7

a. characterize this distribution in terms of center and spread (variation)

b. draw a histogram and describe its shape.

c. offer a theory as to why the shape looks as its does. be sure to give the locations of the main features.

d. what would be a good strategy for sorting and characterizing these data?

e. how do the mean and the median compare? what do the iqr and the standard deviation say about this distribution?