In: Statistics and Probability
Use the following set of Data Management final examination scores to answer the questions below:
92, 48, 83, 62, 76, 64, 81, 98, 70, 70, 55, 83, 46, 79, 70, 97, 91, 53, 86, 89
a. Determine the mean, median, mode, range, and standard deviation.
b. Find Q1 and Q3 and state the IQR. Determine if there are any outliers.
c. Construct a box and whisker plot (by hand or using technology).
d. Construct a histogram. Describe the shape of the distribution.
e. Students with scores above the 80th percentile will receive an Honours Award in Data Management. How many students will receive the award?
f. What percentile is someone at if they received a score of 70?