the box plot shows the statistics for the weight, in pounds, of some dogs. weight of dog (pounds) are there…

the box plot shows the statistics for the weight, in pounds, of some dogs. weight of dog (pounds) are there any outliers? explain how you know. from unit 1, lesson 13

the box plot shows the statistics for the weight, in pounds, of some dogs. weight of dog (pounds) are there any outliers? explain how you know. from unit 1, lesson 13

Answer

Explanation:

Step1: Identify quartiles

From the box - plot, assume (Q_1) (first quartile) is around 40 and (Q_3) (third quartile) is around 60. The inter - quartile range (IQR=Q_3 - Q_1). So, (IQR = 60 - 40=20).

Step2: Calculate fences

The lower fence is (Q_1-1.5\times IQR) and the upper fence is (Q_3 + 1.5\times IQR). Lower fence: (40-1.5\times20=40 - 30 = 10). Upper fence: (60+1.5\times20=60 + 30=90).

Step3: Check for outliers

The minimum value in the data (left - most point of the whisker) is greater than 10 and the maximum value (right - most point of the whisker) is less than 90. So, there are no data points outside the fences.

Answer:

No, there are no outliers. The minimum and maximum values of the data set (represented by the ends of the whiskers) are within the lower and upper fences calculated using the inter - quartile range.