He test scores of 32 students are listed below. construct a boxplot for the data set and include the values of the 5-number summary

Five number summary is:

Minimum Value = 32

First Quartile = 56

Median = 69.5

Third Quartile = 80

Maximum Value = 99

Box plot is used to represented by Option C.

Step-by-step explanation:

The box plot is made up of five number summary.

The five number summary consists of:

Minimum Value

First Quartile

Median

Third Quartile

Maximum Value

So, Looking at the data set and finding five number summary,

Minimum Value = 32

First Quartile

We find median of lower half of data (i.e all data before median)

(55+57)/2 =112/2 =56

So, First Quartile = 56

Median

Mean of middle most numbers: 69+70/2 = 69.5

So, Median = 69.5

Third Quartile

We find median of upper half of data (i.e all data after median)

(79+81)/2 =160/2 =80

So, Third Quartile = 80

Maximum Number = 99

So, Five number summary is:

Minimum Value = 32

First Quartile = 56

Median = 69.5

Third Quartile = 80

Maximum Value = 99

Box plot is used to represent this five number summary.

Option C is correct.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.