The number of crates that weigh less than 99.5 pounds is 4 crates.
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
For this case, we're specified that:
Plot defined by points at 84, 99.5, 113, 143, 170
So, we have:
Minimum at 84, first quartile = 99.5, second quartile = median = 113, third quartile = 143, maximum value = 170
We want to know the amount of crates that weigh less than 99.5 pounds.
Assuming that data of the weights of the crates was arranged increasingly from left to right, as the first quartile is 99.5 and first quartile has 25% of data in its left, we get that 25% of the crates weigh less than 99.5 pounds.
Now, since there are 19 crates, so its 25% is:
[tex]\dfrac{19}{100} \times 25 = 4.75[/tex]
Total 4 crates completely lie below fist quartile(99.5), so total 4 crates out of 19 crates considered weigh less than 99.5.
Learn more about quartiles here:
brainly.com/question/9260741
