You work for an insurance company. Your boss asks you to analyze data from 53 US cities. These are...

Question

You work for an insurance company. Your boss asks you to analyze data from 53 US cities. These are the numbers of stolen vehicle claims per 1000 insured motorists last year. Make a stemplot and comment on the shape of the distribution. Use an appropriate data summary and a boxplot. Make some summarizing comments or recommendations to your boss.
5.2, 2.2, 4.1, 2.2, 2.7, 5.6, 2.0, 2.8, 1.9, 4.1, 2.7, 2.5, 2.7, 2.7, 4.3, 5.7, 2.6, 2.0, 1.7, 3.4, 3.0, 8.1, 5.7, 3.1, 2.7, 4.6, 3.2, 6.2, 9.6, 2.7, 3.7, 2.5, 2.4, 2.6, 2.6, 3.7, 1.8, 4.2, 3.8, 3.3, 3.2, 9.7, 3.8, 2.9, 3.9, 2.6, 3.2, 2.8, 5.9, 2.4, 3.8, 4.1, 3.0

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David · Accepted Answer

Solution 19:
The best measure of center is median for ranked ordered data. One-half of the rankings are thumbs up and one-half of the rankings are thumbs down. 
Solution 20:
Mode is the best measure of center for ordinal data. Hamlin is the mode as it occurs 4times. 
Solution 21:
Min = 8
Q1 = (n/4)th observation
    = (16/4)th observation
    = 4th observation
    = 10
Median = (n/2)th observation
           = (16/2)th observation
           = 8th observation
           = 11
Q3 = (3n/4)th observation
     = (3*16/4)th observation
     = 12h observation
     = 12
Max = 13
Solution 22:
We assume µ = 73
Morning class
t = (X-bar - µ)/ (s/√n)
  = (72 – 73)/ (14/√25)
  = -0.36
Evening class
t = (X-bar - µ)/ (s/√n)
  = (74 – 73)/ (7/√25)
  = 0.71 
Evening class because it has positive score. 
Solution 23:
These are parameters because they represent population.
We have µ = 1000 and σ = 150
Z-score = (X - µ)/σ
               = (790 – 1000)/150
               = -1.4
Solution 24:
We have X = 11 and n = 750
Sample proportion,  is given by:- 
   = 11/750
   = 0.0147
Solution 25:
Mode is 5 because it occurs maximum number of times.
1, 1, 2, 2, 3, 5, 5, 5, 5, 6, 6, 7, 7
Median = (n/2)th observation
           = (13/2)th observation
           = 6.

You work for an insurance company. Your boss asks you to analyze data from 53 US cities. These are the numbers of stolen vehicle claims per 1000 insured motorists last year. Make a stemplot and...

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