Question

The following is a take home quiz worth two quiz scores. You can get help with this quiz, but you must show all your work. Blood Alcohol concentrations of drivers involved in fatal crashes and then given jail sentences are as follows: 0.27, 0.17, 0.17, 0.16,0.13, 0.24, 0.29, 0.24, 0.14, 0.16,0.12, 0.16 1) Develop a bar chart for this information. 2) Develop a pie chart for this information. 3) Develop a histogram for this information with 4 classes 4) Find the Mean, Median and Mode of the given data.

Answer 1

a) based on the sample data the bar chart is plotted as:

Bar graph 1 2 3 4 5 6 7 8

2) Pie chart is plotted as:

PIE-CHART 11 12 13 14 15 16 17 18 0.12, 8% 0.29, 19% 0.13, 9% 0.14,9% 0.27, 18% 0.16, 10% 0.17, 11% 0.24, 16%

3) To plot the histogram we create the frequency table as:

Frequency Table Count Class 0.1-0.15 0.18-0.21 0.22-0.27 0.28-0.33

and based on the frequency table the histogram is plotted as:

3 Frequency 0.1 0.34 0.16 0.22 0.28 Histogram (Frequency Diagram)

4) The mean for the data sample is calculated as:

Mean = (0.12 + 0.13 + 0.14 + 0.16 + 0.16 + 0.16 + 0.17 + 0.17 + 0.24 + 0.24 + 0.27 + 0.29)/12
= 2.25/12
Mean = 0.1875

Median is the middle value of the data set also the 50th percentile value which is between 6th and 7th value, this calculated as:

=> Median = (0.16 + 0.17)/2

=> Median =0.165

Mode is the most occuring value and from pie chart or bar chart we can see that 0.16 appeared 3 times hence it will be the mode.