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solve 3 and get 70 pts

The box plot shows the total amount of time, in minutes, the students of a class spend studying each day:

A box plot is titled Daily Study Time and labeled Time (min). The left most point on the number line is 40 and the right most point is 120. The box is labeled 57 on the left edge and 112 on the right edge. A vertical line is drawn inside the rectangle at the point 88. The whiskers are labeled as 43 and 116.

What information is provided by the box plot?

The lower quartile for the data
The number of students who provided information
The mean for the data
The number of students who studied for more than 112.5 minutes

Question 5(Multiple Choice Worth 3 points)

(08.05)Theresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests. What is the lowest score she can get on the fifth test and still finish with an average score of 90 points?

96 points
97 points
98 points
99 points

Question 6(Multiple Choice Worth 3 points)

(08.05)Some students reported how many pairs of shoes they have. The dot plot shows the data collected:

A dot plot is titled Students Pairs of Shoes and labeled Number of Pairs. The values on the horizontal line are 1, 2, 3, 4, and 5. There is 1 dot above 1, 3 dots above 2, 5 dots above 3, 3 dots above 4, and 1 dot above 5.

What do the dots above the number 4 indicate?

There are exactly 3 students with less than 4 pairs of shoes.
There are exactly 4 students with less than 3 pairs of shoes.
There are exactly 4 students with 3 pairs of shoes.
There are exactly 3 students with 4 pairs of shoes.

Respuesta :

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.

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. [tex]Q_1[/tex] ) =57

Third quartile or upper quartile (i.e. [tex]Q_3[/tex] )=112

Median (i.e. [tex]Q_2[/tex] )=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.

[tex]\dfrac{84+88+88+91+x}{5}=90\\\\\\84+88+88+91+x=90\times 5\\\\\\351+x=450\\\\\\x=450-351\\\\\\x=99[/tex]

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.