Question
1.) Use the below table, to answer the following parts of the question. (4 pts.) One-Way Commuting Distances (in Miles) for 60 Workers in NYC
1.) Use the below table, to answer the following parts of the question. (4 pts.)
One-Way Commuting Distances (in Miles) for 60 Workers in NYC | |||||||||
13 | 47 | 10 | 3 | 16 | 20 | 17 | 40 | 4 | 6 |
7 | 27 | 8 | 21 | 19 | 15 | 3 | 17 | 14 | 6 |
12 | 45 | 1 | 8 | 4 | 16 | 11 | 18 | 23 | 12 |
6 | 4 | 14 | 13 | 9 | 15 | 46 | 12 | 9 | 18 |
36 | 13 | 41 | 28 | 36 | 17 | 24 | 27 | 29 | 9 |
14 | 27 | 10 | 24 | 37 | 31 | 8 | 16 | 12 | 16 |
(a) Fill-in the following frequency table using the following class boundaries:
Class Boundaries | Tally | Frequency |
0.5-8.5 | ||
8.5-16.5 | ||
16.5-24.5 | ||
24.5-32.5 | ||
32.5-40.5 | ||
40.5-48.5 |
(b) Create a histogram on Sheets of Excel using your frequency table.
(c) Discuss the shape of the distribution by discussing (i) whether or not it is uniform and a bell-shaped distribution, (ii) uniformity, (iii) skewness, and (iv) modality.
2.) Use the same table, One-Way Commuting Distances (in Miles)for 60 Workers as used in problem #1 and find the following information: (6 pts.)
a. Mean
b. Median
c. Mode
d. The standard deviation (Using both the column method from class and the quick
calculation from Sheets).
e. Variance
f. Range
3.) Compare and contrast the two box-and-whisker plots in the below diagram.Be sure to
discuss their median, quartiles, if there are outliers, and whether the data is skewed
right or left. (2 pts.)
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