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Which of the following is true of the data represented by the box plot?

box plot with point at 15, min at 17, Q1 at 51, median at 65, Q3 at 74, max at 90

A) If the outlier is included in the data, the median would not significantly change.
B) If the outlier is included in the data, the mean would increase.
C) If the outlier is included in the data, the box plot would be significantly skewed.
D) If the outlier is included in the data, the length of the tails would change significantly.

Respuesta :

Answer:

the outlier is the point at 15

the data is skewed to the bottom because the values below the median are far more spread out; there are more extreme values that are far below the median than above the median.

Step-by-step explanation:

A) If the outlier is included in the data, the median would not significantly change.

Box Plot is a pictorial way of denoting data's distribution on the basis of Quartile 1, Quartile 3, Minimum, Median and Maximum

Outliers are the data observations or points, lying at huge significant difference (distance) from other concentrated data observation points.

  • A data value below the Box Plot Minimum, or above the Box Plot Maximum is an Outlier.

Median is a Positional average, the mid point of data. It divides the data into two equal halves, 50% below it & 50% above it.

  • Median is not effected by extreme values like Outliers. So, inclusion of outliers doesn't significantly change Median.

Mean is an Arithmetic Average. It is effected by extreme values like outliers. However, in this case of presence of Lower Outlier, the mean would decrease rather than increasing.

Skewness or Tail in the data denotes concentration of values in either (lower or higher side). It is not related to outliers.

To learn more, refer https://brainly.com/question/14939006

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