Question

Country	Suicides/ 100,000
Guatemala	2.5
United Arab Emirates	2.9
Venezuela, RB	3
Algeria	3.1
Lebanon	3.1
Myanmar	4.3
Greece	4.3
Mexico	5
Israel	5.5
Tunisia	5.5
Peru	5.8
Malta	6
Colombia	6.1
Brazil	6.3
Kenya	6.5
Ghana	6.9
Ecuador	7.5
Italy	7.9
Ethiopia	8.4
Spain	8.5
United Kingdom	8.5
Turkey	8.7
Burkina Faso	9.2
Nicaragua	9.5
China	10
Norway	10.9
Luxembourg	11.1
Ireland	11.7
Australia	11.8
New Zealand	11.9
Denmark	12.2
Canada	12.3
Netherlands	12.6
Iceland	13.1
Germany	13.4
Portugal	13.6
Argentina	14.2
United States	14.3
Switzerland	15.1
Sweden	15.4
India	15.7
Finland	16.2
Austria	16.4
France	16.9
Japan	19.6
Belgium	20.5

1. Shape & Outliers. create a histogram and boxplot of the variable: suicide rates (per 100,000). Be sure to draw the boxplot horizontally and use fences to determine if the variable contains outliers. Describe the shape of the distribution.

The shape of this distribution is:

How many outliers does this distribution contain? < insert answer >

3. Center & Spread. find the mean and standard deviation. Round your answers to the nearest thousandth.

Mean:

Standard Deviation:

4. Is it Normal? In Statistics, it is reasonable to conclude that a variable follows a normal distribution if it’s shape is roughly symmetric (bell-shaped) with at most one outlier. Would it be reasonable to conclude that the suicide rates (per 100,000) for countries in the data table follow a normal distribution? Explain why or why not?

Answer 1

Answer:

1) Histogram :

Using excel :

Path : Insert < charts < column

BOXPLOT:

Using MINITAB

Path : Graph< Boxplot

- From boxplot , outlier is not present in above data.

- From above histogram , the data are Left Skewed because most of values in data are clustered on the left side of the histogram. Data is increasing order.

2 ) From histogram we can say that , Shape of distribution does not contain outlier

3) Mean and Standard deviation

Using MInitab :

Path : stat < discriptive statistics

Mean = 9.917

standard deviation = 4.678

4) For Normal distribution histogram are symmetric . But here histogram is left skewed hence we conclude that the suicide rates (per 100,000) for countries in the data table not follow a normal distribution.