Suppose that you are interested in housetraining time (the number of days it tak

Question

Suppose that you are interested in housetraining time (the number of days it takes different breeds of dogs to get housetrained). You have a sample of dogs containing chihuahuas, border collies, and Bernese Mountain Dogs. A box plot would show you...

A. the 70th percentile of housetraining time for chihuahuas, border collies, and Bernese Mountain Dogs

B. the mode of housetraining time for chihuahuas, border collies, and Bernese Mountain Dogs

C. the transformation of housetraining time for chihuahuas, border collies, and Bernese Mountain Dogs

D. the mean and standard deviation of housetraining time for chihuahuas, border collies, and Bernese Mountain Dogs

E.the skewness of housetraining time for chihuahuas, border collies, and Bernese Mountain Dogs

F. the median and interquartile range of housetraining time for chihuahuas, border collies, and Bernese Mountain Dogs

Explanation / Answer

How many answers can you mark as right. If it is only 1 then go for F, if you can mark multiple answers as right then mark E and F as right answers. It is because boxplot gives an idea of skewness but not the exact measure of skewness.

The box plot gives the following representation :

1. Upper Quartile - Q1,

2. Lower Quartile - Q3,

3. Q2( median), E is right

4. Max and Min ( exluding outliers)

5. Outliers

6. Skewness ( box plot only gives if distribution is left or right skewed and not the measure of it - depending upon the median' position and the length of whiskers of lowe and upper tail) - F is right

Because we know Q1 and Q3, we know Interquartile range ( Q3-Q1).

What is doesn't give is the following:

1, Mean

2. Standard deviation - D is out

3. Mode - Hence, B is out

4. Any other percentiles - A is out

C is out because the boxplot doesn't give any kind of transformation.

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