Question

In a study of credibility or believability of television news versus printed news, a sample of 35 adults was selected from residents of an urban area in the Midwest. Each person was asked to express his or her opinion regarding the statement “Television news is more trustworthy than corresponding news reported in the printed media.” Responses were measured on a five-point scale from “strongly agree” (1) to “Strongly Disagree” (5), and were reported as follows:

4 4 3 5 5 3 5 2 4 1 4 1 3 4 3 4 5 5 5 5 5 4 4 3 2 5 1 5 4 5 4 2 3 4 4

1. Construct a frequency distribution table that corresponds to this data and draw a frequency graph of the distribution
2. Calculate the mean, median, mode, range, variance, and standard deviation (Show ALL work for Standard Deviation legibly).

Thank you!

Answer 1

In a study of credibility or believability of television news versus printed news, a sample of 35 adults was selected from residents of an urban area in the Midwest. Each person was asked to express his or her opinion regarding the statement “Television news is more trustworthy than corresponding news reported in the printed media.” Responses were measured on a five-point scale from “strongly agree” (1) to “Strongly Disagree” (5), and were reported as follows:

4 4 3 5 5 3 5 2 4 1 4 1 3 4 3 4 5 5 5 5 5 4 4 3 2 5 1 5 4 5 4 2 3 4 4

1. Construct a frequency distribution table that corresponds to this data and draw a frequency graph of the distribution

score	Frequency	Percentage
1	3	8.57%
2	3	8.57%
3	6	17.14%
4	12	34.29%
5	11	31.43%
Grand Total	35

2. Calculate the mean, median, mode, range, variance, and standard deviation (Show ALL work for Standard Deviation legibly).

Mean= sum/n= 130/35 = 3.7143

Median = 4

Mode=4

Range= 5-1=4

standard deviation = sqrt( variance) = sqrt( 1.5630) =1.2502