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There are about 45 more 2 year olds with a shoe size of 6 or less than 3 year olds with a shoe size of 6 or less.
The median of the two year old box plot, the bar in the middle, is at 6. This means this is the halfway point of the data; half of the data will be above it, half below it. There are 120 2-year-olds; 120/2 = 60. This means there are 60 with that shoe size or smaller.
The lower quartile of the three year old box plot, the bar that makes the left side of the box, is at 6.5. This is the middle of the lower half of data; 1/4 of the data is from this point below, and 3/4 of the data is from this point above. There are 60 3-year-olds; 60/4 = 15.
The difference between the two is given by
60 - 15 = 45
The median of the two year old box plot, the bar in the middle, is at 6. This means this is the halfway point of the data; half of the data will be above it, half below it. There are 120 2-year-olds; 120/2 = 60. This means there are 60 with that shoe size or smaller.
The lower quartile of the three year old box plot, the bar that makes the left side of the box, is at 6.5. This is the middle of the lower half of data; 1/4 of the data is from this point below, and 3/4 of the data is from this point above. There are 60 3-year-olds; 60/4 = 15.
The difference between the two is given by
60 - 15 = 45
The number of 2-year-old boys have a shoe size of 6 or less, compared to the 3-year-old boys in the box-and-whisker plot is: 45.
What is a Box-and-whisker Plot?
A box-and-whisker plot can be described as a graph that displays how the data points of a data distribution looks like.
Given the following and the box-and-whisker plots:
Total number of two-year-old boys = 120
Total number of three-year-old boys = 60
Number of two-year-old boys with shoe size of 6 and less lie from the median to the end of the left whisker, which is 50% of 120 = 50/100 × 120 = 60.
Number of three-year-old boys with shoe size of 6 and less lie from the first quartile to the end of the left whisker, which is 25% of 60 = 25/100 × 60 = 15.
Therefore, the number of 2-year-old boys have a shoe size of 6 or less, compared to the 3-year-old boys in the box-and-whisker plot = 60 - 15 = 45.
Learn more about box-and-whisker plot on:
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