Question

Solve 3 and get 70 pts

Answer 1

Answer:

Ques 1)

           The lower quartile for the data.

Ques 2)

             99 points

Ques 3)

 There are exactly 3 students with 4 pairs of shoes.

Step-by-step explanation:

Ques 1)

Minimum value=40

Maximum value=120

First quartile or lower quartile (i.e. $Q_1$ ) =57

Third quartile or upper quartile (i.e. $Q_3$ )=112

Median (i.e. $Q_2$ )=88

The information that is provided by the box plot is:

          The lower quartile for the data.

Ques 2)

The scored earned by Theresa in four test are:

88 points, 84 points, 88 points, and 91 points

Let 'x' be the point she earned in the fifth test.

Hence we need to find 'x' such that the average score is 90 points.

i.e.

$\dfrac{84+88+88+91+x}{5}=90\\\\\\84+88+88+91+x=90\times 5\\\\\\351+x=450\\\\\\x=450-351\\\\\\x=99$

Hence she scores 99 points in the fifth test.

Ques 3)

              Pair of shoes           Number of students

                       1                                   1

                       2                                  3

                       3                                   5

                       4                                   3

                        5                                   1    

Hence, the dots above the number 4 indicate that:

    There are exactly 3 students with 4 pairs of shoes.

Answer 2

The first one would be A, the lower quartile is given, because the 5 number summary has been given. The second one would be 99, because 97 gives 89.6 and 98 gives 89.8. And the third one would be there are exactly 3 students with 4 pairs of shoes. Hope this helps! If you need anything else let me know.