Question

Roger kept track of the inches of snowfall in his town over a 15-day period. Roger's data is given below:1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3Which of the following box plots shows this data set?

Answer 1

A; first box plot shows the correct representation

For a box plot, we have some necessary information to fill accordingly as follows from left to right

We have this as;

a) minimum value

b) Lower quartile

c) Median

d) Upper quartile

e) Maximum value

Looking at the values, we start by re-arranging the numbers as follows;

0,0,0,0,0,1,1,2,2,2,2,3,3,5,7

The minimum value is 0

The lower quartile can be calculated by using the formula below and noting the number that falls within that specific term number

We have this as;

`\text{Lower quartile = }(n+1)/(4)\text{ = }(15+1)/(4)\text{ = 4}`

We have the lower quartile as the 4th term on re-arrangement

The 4th term is 0 and that is the lower quartile

c) Median

The median is the middle number; we have it as the 8th term

The 8th term here is 2

d) The maximum value is the term calculated according to the formula below;

`\text{Upper quartile = }(3(n+1))/(4)\text{ = 12}`

The 12th term here is 3

e) The maximum value is 7

So according to these values, we have the correct box plot is the first box plot