Question

The masses, in kg, of some bags on an airplane are shown below:

7, 6.2, 6.1, 6.8, 6.1, 6.2, 6.8, 5.8, 6.2, 6.3

Jack made the following box plot to represent the masses:

see attached file)

Which of the following did Jack show incorrectly on his box plot?
Options:

Median
Minimum
First quartile
Third quartile

Answer 1

Jack showed the  Median wrong which should be 6.4.

Answer 2

The value that Jack show incorrectly on his box plot is:

Median ( As he showed median is 6.3 but median is 6.2)

Explanation:

We are given the mass of the bags as:

7, 6.2, 6.1, 6.8, 6.1, 6.2, 6.8, 5.8, 6.2, 6.3

On arranging the data in the increasing order we have:

5.8 6.1 6.1 6.2 6.2 6.2 6.3 6.8 6.8 7

There are a total of 10 data points.

Also, the minimum value is: 5.8

Maximum value is: 7

The median is the central tendency of the data and lie in the middle of the data.

Hence, Median lie between 6.2 and 6.2

Hence, Median=6.2

Also, the lower set of data is: 5.8 6.1 6.1 6.2

The lower quartile or first quartile is the median of lower set of data is: 6.1

Also, the upper set of data is: 6.3 6.8 6.8 7

The upper quartile or Third quartile is the median of lower set of data is: 6.8

Hence, he showed median incorrectly in the box plot.