Question

A manager drew this box-and-whisker plot to represent the weights, in pounds, of the 440 crates the company is shipping. box-and-whisker plot ranging from 80 to 180 with ticks at increments of 2.5. plot defined by points at 84, 99.5, 113, 143, 170. how many crates weigh more than 99.5 pounds? select from the drop-down menu to correctly complete the statement. about choose... crates weigh more than 99.5 pounds.

Answer 1

Deducing from the considered box plot, the number of crates that weigh more than 99.5 pounds is 330 approx.

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.

What are quartiles?

When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.

Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.

• Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
• Similarly, second quartile (also called median) is approximately in mid of the data.
• Third quartile (also called upper quartile)  has approx 75% in its left partition, and on its right lies approx 25% of the data.

Left to right is said in assumption that data was arranged increasingly from left to right

We're specified here that:

Total 440 crates is being shipped by company.

The box plot is defined by the points 84, 99.5, 113, 143, 170

The point 99.5 is the first quartile.

There are 75% observations on its right, so 75% of 440 is the number of crates which weigh greater than 99.5 pounds.

We get this value as:

$\dfrac{440}{100} \times 75=330$

Thus, deducing from the considered box plot, the number of crates that weigh more than 99.5 pounds is 330 approx.

Learn more about quartiles here:

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