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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

The following scores are the ages for a random sample of n = 30 drivers who were issued speeding tickets in New York during 2008. Determine the best interval width and place the scores in a grouped frequency distribution table. Prom looking at your table, does it appear that tickets are issued equally across age groups?

17 30 45 20 39 53 28 19
24 21 34 38 22 29 64  
22 44 36 16 56 20 23 58
32 25 28 22 51 26 43  

To determine

The best interval width and place the scores in a grouped frequency distribution table.

To check: Whether the distribution appears that tickets are issued equally across age groups.

Explanation

Given info:

The ages for random samples of 30drivers are given as:

Ages
17 30
45 20
39 53
28 19
24 21
34 38
22 29
64 22
44 36
16 56
20 23
58 32
25 22
28 51
26 43

Justification:

The ages that range from X=16 to X=64 that means the smallest score is X=16 and the highest score is X=64. For construct a table of this data need total of 49 rows and it is not possible to provide simple table, so just group the scores into class interval. The below table shows the number of intervals needed for these widths:

Width Number of intervals needed to cover a range of 46 points
2 25(Too many)
5 10 (OK)
10 5 (Too low)

Conclusion:

An interval width of 5 with 10 intervals is the best option

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