Twenty eight applicants interested in working for the Food Stamp program took an examination designed to measure their aptitude for social work. A stem-and-leaf plot of the 28 scores (sample data) appears below.

46, 59, 63, 66, 68, 68, 70, 72, 76, 77, 79, 79, 81, 84, 85, 86, 86, 87, 87, 88, 88, 91, 92, 93, 94, 97, 98, 98

Find mean, median, and standard deviation of the data. What can you say about the shape of this distribution? Explain.

Find the inter-quartile range of the data.

Are there any unusual observations or outliers exist in the data? Justify your answer.