Question

Show the five-number summary for the following data: 5, 15, 18, 10, 8, 12, 16, 10, 6. 5 Smallest Median Largest 10 18 8 Q3 (1 Decimal) 15 Select the correct box plot for the following data: 5, 15, 18, 10, 8, 12, 16, 10, 6. 10 15 20 10 15 20 5 10 15 20 10 15 20 5

Answer 1

Answer

From the above data, it is clear that the minimum and maximum values for the box plot must be 5 and 18

So, only one box plot is showing minimum and maximum values of 5 and18, i.e. the box plot in option C

Now, we need to check whether it is matching median, quartile 1 and quartile 3 values correctly or not.

First quartile is 8, option C box plot is showing the lower line of rectangle shape at 8

Median is 10, option C box plot is showing middle line of rectangle shape at 10

Third quartile is 15, option C box plot is showing the higher line of rectangle shape at 15

So, correct answer is option C only

Option A, B and D are incorrect because maximum value is given incorrect.