Question: Help with this statistics problem: Let's say you record the amount of thefts per 1000 in a random sample of 12 cities/towns in Worcester county

Help with this statistics problem:

Let's say you record the amount of thefts per 1000 in a random sample of 12 cities/towns in Worcester county during the hours of 6 am to 5pm . The numbers you record are:

12, 5, 32, 35, 17, 17, 21, 28, 22, 38, 42, 11

  1. Construct a dot plot of the above data.
  2. Find the mean, median , and 15% trimmed mean. Locate the three measures of central tendency on the dotplot. How do they compare?
  3. Find the range, interquartile range, and standard deviation. What does each of these descriptive statistics measure?
  4. Please find the 5 point summary (minimum value, Q1, Q2 (median), Q3, and maximum value), and construct a box plot for the above data.
  5. Compare part d to the 5 point summary for thefts per 1000 individuals for Worcester county during the evening hours 6pm to 2am are: minimum= 8, Q1= 10, Q2 = 12, Q3 = 17, and max = 41. Make a boxplot of the 5 point summary for evening hours to that of part d. What comparisons can you make of these two boxplots?

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