Question 3.477

39. Let's draw a boxplot of the ragweed pollen index.

  1. What is the five-number summary?
  2. By hand, draw a boxplot.
  3. Is the data set left-skewed, right-skewed, or symmetric?
  4. What should the symmetry or skewness mean in terms of the relative values of the mean and median?
  5. Find the mean and standard deviation. Is your prediction in (d) supported?

3.99.39

(a) Min = 8, Q1 = 25, median = 34.5, Q3 = 48, max = 60

(b)

image

(c) Close to symmetric, slightly right-skewed. (d) The mean should be close to the median or a little above the median. (e) Mean = 36.30, standard deviation = 16.51. The value of the mean is slightly above the median of 34.50.