alammarithrea123
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Which of the following is true of the data set represented by the box plot? (2 points)

box plot with point at 16, min at 33, Q1 at 40, median at 52, Q3 at 55, max at 78, and point at 86
The greatest value in the set is 79.
The data is evenly distributed throughout the middle half.
The data has an IQR of 45.
Removing the outliers would not affect the median.

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Among the choices provided above the one that is true of the data set represented by the box plot is Removing the outliers would not affect the median.

Box plot shows 5 description of the data set it is representing. Removing the outliers would not affect the median.

How does a boxplot shows the  data points?

A box plot has 5 data description.

  • The leftmost whisker shows the minimum value in the data.
  • The rightmost whisker shows the maximum value in the data.
  • The leftmost line in the box shows the first quartile.
  • The middle line shows the median, also called second quartile.
  • The last line of the box shows the third quartile.

How to find the interquartile range?

IQR(inter quartile range)  is the difference between third and first quartile.

When is data symmetric for a given box plot?

Data is symmetric if the median is in the mid of the box plot and the box is mid to the line connecting both whiskers(since in that case, the frequencies are more likely to be distributed symmetric to the middle).

For the given data set, we've got:

  • Minimum = 16,
  • [tex]Q_1[/tex] = 40
  • Median = [tex]Q_2[/tex] = 52
  • [tex]Q_3[/tex] = 55
  • Maximum = 78

(Distance from Q1 to minimum is 40-16 = 24

Distance from Median to Q1 is 52 - 40 = 12

Distance from Q3 to median is 55 - 52 = 3

Distance from maximum to Q3 is 78 - 55 = 23)

This shows that median is not in mid of Q1 and Q3(as Q3 - Q2 not equal to Q2 - Q1) and thus, data isn't symmetric.

Greatest value is 78

IQR = Q3 - Q1 = 55- 40 = 15

Medians are usually very less affected by removing outliers and that also because of number of data points disturbed. Thus, the only correct option is the last option.

Hence, Removing the outliers would not affect the median.

Learn more about box plot here:

https://brainly.com/question/1523909

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