Question
Abuse of Statistics
Please answer as soon as possible
Match each of the examples given to the type of abuse of statistics involved. To answer the question "what was the average score on the MATHfinal exam?" you ask your ten closest friends in the course what they got on the final exam and average those scores. 1. To answer the question "what was the average score on the MATH A final exam?" you randomly choose 4 students in the course and average their scores. 2 Using loaded questions 3. A headline claims "Canadian income taxes are at their highest ever!" and states that on average Canadian families this year paid $22 162 in tax per household. Although this is the highest average tax ever in absolute dollars, the percentage income tax is lower than in the previous year. Using (unjustified) precise numbers Small sample Using distorted percentages (partial information) 4. Your high school instructor claimed to have very accurately computed your final grade because she has computed it to the nearest 100th of a percent. However, she accidentally recorded one of your assignment scores as a O when it should have been at 10 Biased (non-representative) sample It was my daughter's turn to pick the movie to watch last weekend. My son asked my daughter: Do you really want to watch that movie "finding Nemo" that has the really scary part with the shark that you are really afraid of? 5,
Explanation / Answer
1) Biased Sample:- Your 10 closest friends are not representative of all the people who took the math course.
2)Small sample:- the sample of 4 students is very small to represent all the people who took the course( assuming a lot of them took the course)
3)Using Distorted percentages(Partial Information): -The newspaper Should have mentioned the lowering of income tax percentage.
4)Using Precise numbers:- The instructor is using much more precise numbers knowing that there is a possibility of other errors.
5) Using loaded Questions:- His son asks his daughter that "Do you really want to watch the movie "Finding Nemo" that has the really scary part with the shark that you are really afraid of". This question is not framed properly and will change the thought of the daughter than what it would have been otherwise.