Question

Which modified box plot represents the data set?
2, 8, 18, 7, 42, 12, 16, 14, 11, 4, 1, 10, 19

Answer 1

The last box plot

Explanation:

A box plot is simply a graphical representation of the 5 number summary of a data set;

The minimum, first quartile, median, third quartile, and the maximum

in that order.

We can therefore arrange our given data set from the least to the greatest value;

1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42

The value 42 is an outlier since it is more extreme than the rest of the values.

From our arrangement of the data values above, we can note the following;

The minimum value is 1

The maximum value is 19

42 is an outlier, will be represented by a dark circle

The box-plot that matches the above is the last one and is thus the correct modified box-plot for the data

Answer 2

D

Explanation:

Arrange the data 2, 8, 18, 7, 42, 12, 16, 14, 11, 4, 1, 10, 19 in ascending order:

1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42

The number 42 is an outlier of the data.

1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42

Write a five-number summary:

Min: 1

Q1: 5.5 (the average between the middle terms of first half of the data)

Med: 11 (the middle term of the data)

Q3: 17 (the average between the middle terms of second half of the data)

Max: 19

Outlier: 42

Only option D shows