Answer to Question #103107 in Statistics and Probability for Nimra

Question

Construct a Pareto chart for the number of unemployed. People in the selected States for June of 1995.
(States)=Taxes, New York, Pennsylvania, Florida, Ohio.
(Number)= 605,000 , 494,000 , 364,000 , 363,000 , 269,000

Answer 1

Arrange the data from the largest to smallest according to frequency.

$$\def\arraystretch{1.5} \begin{array}{c:c} State & Number \\ \hline Texas & 605000 \\ \hdashline New York & 494000 \\ \hline Pennsylvania & 364000 \\ \hline Florida & 363000 \\ \hline Ohio & 269000 \end{array}$$

Draw and label the x and y axes. 

Draw the bars corresponding to the frequencies.

The Pareto chart shows that assaults had the highest frequency and homicides the lowest.

$Total=605000+494000+364000+363000+269000=$

$=2095000$

$${605000 \over 2095000}\cdot100\%=28.878\%$$

$${494000 \over 2095000}\cdot100\%=23.580\%$$ $$\ 28.878\%+23.580\%=52.458\%$$

$${364000 \over 2095000}\cdot100\%=17.375\%$$ $$52.458\%+17.375\%=69.833\%$$

$${363000 \over 2095000}\cdot100\%=17.327\%$$ $$69.833\%+17.327\%=87.160\%$$

$${269000 \over 2095000}\cdot100\%=12.840\%$$ $$87.160\%+12.840\%=100\%$$

$$\def\arraystretch{1.5} \begin{array}{c:c:c} State & Number & Cum. Relative \ Frequencies (\%)\\ \hline Texas & 605000 & 28.88 \\ \hdashline New York & 494000 & 52.46 \\ \hline Pennsylvania & 364000 & 69.83 \\ \hline Florida & 363000 & 87.16 \\ \hline Ohio & 269000 & 100 \\ \hline Total= & 2095000 & \end{array}$$

Therefore, the following Pareto Chart is obtained based on the table above: