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1) Construct a frequency distribution table for the following set of scores. Inc

ID: 3023510 • Letter: 1

Question

1) Construct a frequency distribution table for the following set of scores. Include columns for proportion and percentage in your table. Scores: 2,7,5,3,2,9,6,1,1,2,3,3,2,4,5,2,5,4,6,5

2) Find each value requested for the distribution of scores in the following table.

x
6
5
4
3
2
1

f
1
2
2
4
3
2

a) n

b)X

c) X^2

3)The following scores are the ages for a random sample of 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. From 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

4) Gaucher, Friesen, and Kay (2010) found that masculine-themed words (such as competitive, independent, analyze, strong) are commonly used in job recruitment materials, especially for job advertisements in male-dominated areas. In a similar study, a researcher counted the number of masculine-themed words in job advertisements for job areas, and obtained the following data.
Plumber =14
Electrician =12
Security guard =17
bookkeeper= 9
nurse =6
early childhood educator =7

5) Place the following scores in a frequency distribution table. Based on the frequencies, what is the shape of the distribution? 13,14,12,15,15,14,15,11,13,14,11,13,15,12,14,14,10,14,13,15

6) Complete the final two columns in the following frequency distribution table and then find the percentiles and percentile ranks requested:

x
25-29
20-24
15-19
10-14
5-9
0-4

f
1
4
8
7
3
2
cf _ _ _ _ _ _
c% _ _ _ _ _ _

a) What is the percentile rank for X = 9.5?

b) What is the percentile for X = 19.5?

c) What is the 48th percentile?

d) What is the 96th percentile?

Explanation / Answer

As multiple questions are posted, the first one will be answered.

1. Frequency table for the data:

Frequency is the number of times the data point has occured in the data.

Relative frequency = Frequency / Total frequency

Percentage = Relative frequency X 100%

Data point Frequency Relative frequency Percentage 1 2 0.1 10% 2 5 0.25 25% 3 3 0.15 15% 4 2 0.1 10% 5 4 0.2 20% 6 2 0.1 10% 7 1 0.05 5% 9 1 0.05 5% Total 20 1 100%