Question

Plot the following hypothetical scores using the appropriate graph for each dataset. Describe the shape of the distributions where applicable. Indicate the scale of measurement and identify the mean, median and mode for each of the 2 datasets (where appropriate).

a) Number of professors based on University Department:

Department Frequency

Psychology 15

Sociology 10

History 8

English 7

Mathematics 12

b) A study recorded the number of units produced per hour by 15 factory workers. The results were as follows: 8,10,4,9,9,10,1,9,8,5,9,9,8,7,8.

- Make a frequency table (include proportions and percentages)

-Make a frequency polygon

- Describe the shape of the distribution

Answer 1

Answer:

Plot the following hypothetical scores using the appropriate graph for each dataset. Describe the shape of the distributions where applicable. Indicate the scale of measurement and identify the mean, median and mode for each of the 2 datasets (where appropriate).

a) Number of professors based on University Department:

Department Frequency

Psychology 15

Sociology 10

History 8

English 7

Mathematics 12

Bar chart is made:

Mode is appropriate here: mode is Psychology.

b) A study recorded the number of units produced per hour by 15 factory workers. The results were as follows: 8,10,4,9,9,10,1,9,8,5,9,9,8,7,8.

- Make a frequency table (include proportions and percentages)

Number of units	Total	proportion:	Percentage
1	1	0.0667	6.67
4	1	0.0667	6.67
5	1	0.0667	6.67
7	1	0.0667	6.67
8	4	0.2667	26.67
9	5	0.3333	33.33
10	2	0.1333	13.33
Total	15

-Make a frequency polygon

- Describe the shape of the distribution

The distribution is negatively ( left) skewed.

Descriptive statistics
	Number of units
n	15
mean	7.60
median	8.00
mode	9.00