Answer:
(a) The median of both plots is same, 120 pounds is the median weight of Anatolian Shepherd and the Black Russian Terrier breed.
The range of both plots is also same that is 75 pounds.
The box plot of Anatolian Shepherd is skewed towards left therefore, it is considered to be positively distributed.
The box plot of Black Russian Terrier is skewed towards right therefore, it is considered to be negatively
(b) Any data point which is greater than 155 or smaller than 80 will be considered an outlier.
Step-by-step explanation:
A box plot is a graph which shows five statistical characteristics of a data set.
1. Maximum value
2. Minimum value
3. Median
4. Upper Interquartile
5. Lower interquartile
(a) Compare the distributions of weights for the two dog breeds
Please refer to the attached diagram of the question.
The median of both plots is same, 120 pounds is the median weight of Anatolian Shepherd and the Black Russian Terrier breed.
The range of Anatolian Shepherd is,
Range = Maximum value - Minimum value
Range = 175 - 100 = 75 pounds
The range of Black Russian Terrier is,
Range = Maximum value - Minimum value
Range = 155 - 80 = 75 pounds
Therefore, the range of both plots is also same that is 75 pounds.
A box-plot is considered to be normally distributed when the median is at the center of upper quartile and lower quartile.
The box plot of Anatolian Shepherd is skewed towards left therefore, it is considered to be positively distributed.
The box plot of Black Russian Terrier is skewed towards right therefore, it is considered to be negatively distributed.
(b) What weights would a Black Russian Terrier have to be to be considered an outlier?
An outlier is a data point in the data set that is very different from the other data points.
In this case, the maximum and minimum values in the Black Russian Terrier box-plot are
Maximum = 155
Minimum = 80
Therefore, any data point which is greater than 155 or smaller than 80 will be considered an outlier.
