Question

Which box-and-whisker plot represents this data: 6,9, 13, 13, 18, 20, 24, 25, 26, 28, 30, 30?

Answer 1

Answer:

First option seems to b correct..

Step-by-step explanation:

Given data set  shows following ...

Sample size: 12

Median: 22

Minimum: 6

Maximum: 30

First quartile: 13

Third quartile: 27.5

Interquartile Range: 14.5

Outliers: none

Basically box and whisker represents 5 things.In case of box and whisker  

The most left point of left side represents the Stating point of data smallest value

The most right  point of right side represents the ending point of data largest value of data

left side of box respresnts the Q1 lower quartile while right side represnts

the upper  quartile Q3 ..

And there is line somewhere in box  that represents the  medianof data set..

Answer 2

The box and whisker plot which gives the correct representation of the dataset given is the plot A.

Given the data set : 10, 5, 8, 14, 21, 7, 13, 17, 17

To obtain box and whisker plot of the distribution, we could use technology such as excel or a box plot maker :

Using a boxplot maker, the following statistical measures, which is the five number summary of the dataset is given below :

• Median: 22
• Minimum: 6
• Maximum: 30
• First quartile: 13
• Third quartile: 27.5
• Interquartile Range: 14.5
• Outliers: none

Therefore, since the statistical values of the data corresponds to the values depicted in the plot A, then it is the right choice.

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