Use the following set of 16 pieces of data to answer the next 4 questions:
5, 10, 15, 15, 20, 25, 30, 30, 35, 40, 45, 45, 45, 50, 55, 60
11. Determine the mode for the above data set.
A.) 45—one mode C.) 15, 30, and 45—bimodal E.) None of these
B.) 45—multimodal D.) 15, 30, and 45—multimodal
12. Find the 40th percentile.
A.) 6.4 B.) 24 C.) 25 D.) 27.5 E.) 30
13. Find Q1.
A.) 4 B.) 15 C.) 17.5 D.) 20 E.) 22.5
14. Find the interquartile range.
A.) 8 B.) 13.75 C.) 25 D.) 27.5 E.) 30
15. If the following sample data has a mean of 15, calculate the sample standard deviation.
10 20 16 12 17
A.) 3.578 B.) 4 C.) 12.8 D.) 16 E.) 17.241
16. If a set of data has μ = 37 and σ = 8, what observation has a z-score of -1.75?
A.) -4.844 B.) 4.406 C.) 23 D.) 29 E.) 51