Q 10. - The Practice of Statistics for AP

Question

Spam Email spam is the curse of the Internet. Here is a compilation of the most common types of spam:

(a) What percent of spam would fall in the “Other” category?

(b) Display these data in a bar graph. Be sure to label your axes and title your graph.

(c) Would it be appropriate to make a pie chart of these data? Explain. 

Step-by-Step Solution

Answer

Part (a) The percentage of other spam is $7\%$

Part (b) The following is a bar chart. 

Part (c) Pie chart can also be drawn.

Part (a) Step 1: Given Information

Given data on the proportion of spam and their type 

Type of spam	Percent
Adult	19
Financial	20
Health	7
Internet	7
Leisure	6
Products	25
Scams	9
Other	?

Part (a) Step 2: Concept

The distribution of a category variable is displayed using pie charts and bar graphs. Any set of quantities measured in the same units can be compared using bar graphs. It's a good idea to ask yourself, "What do I see?" when looking at any graph. 

Part (a) Step 3: Explanation

The above information is listed in the following table. 

Since the total percentage will add up to $100$, the percentage of other spam is $100-19+20+7+7+6+25+9=100-93=7$

Hence, the percentage of other spam is $7\%$ 

Type of spam	Percent
Adult	19
Financial	20
Health	7
Internet	7
Leisure	6
Products	25
Scams	9
Other	?

Part (b) Step 1: Explanation

The bar chart is drawn in excel by selecting the two columns of the above table. 

Part (c) Step 1: Explanation

When a phenomenon is broken down into sub-events and each event is represented in the diagram by a sub-component, the pie chart is utilized. Because there is no missing data, each category's number of spam is represented as a sector in a pie graphic.