Major league baseball has had 11 different single-season home run records since 1876. The records are 5, 9, 14, 27, 29, 54, 59, 60, 61, 70, and 73. Which box-and-whisker plot accurately shows these results?

Option C

Explanation:

The question lacks the required option. Find the options in the attachments.

It can be seen that on each box plots, 5 different points are plotted. To determine which box plot correctly fits the dataset, we need to confirm if each points corresponds to what they stands for.

The first point on the box plot will be the lowest value in the dataset after rearrangement. i.e 5

The second point represents the first quartile. To get the first quartile, we need to locate the (N+1)/4 th value in the dataset.

N is the total number in the dataset = 11

First quartile Q1 = 11+1/4 = 12/4 = 3

We are to locate the third value in the data set, and the third value is 14, our first quartile value = 14

The next value is the median Q2 = N+1/2 th value.

Q2 = 11+1/2 = 12/2

Q2 = 6th value

Median = sixth value in the dataset = 54

For the third quartile Q3 = 3(N+1)/4 th value

Q3 = 3(11+1)/4

Q3 = 3(12)/4

Q3 = 36/4 = 9th value

The third quartile = 61

Greatest value in the dataset = 73

Since we know the lowest value, the first quartile, median, third quartile and the greatest number of the dataset, then we need to locate the box plot that correctly plots this points on the box.

The given points [5, 14, 54, 61, 73] must corresponds to the plotted points.

Based to the values gotten, it can be seen that only the third box plot correctly shows this results.

Hence, option C is correct.