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the data set shows how many points mark scored in each basketball game he played this season

1,4,4,5,5,7,8,8,10,11,11,11,14,15,16

the box plot shown is a summary of the data move numbers to the spaces to label the values and complete the box plot

the data set shows how many points mark scored in each basketball game he played this season 1445578810111111141516 the box plot shown is a summary of the data class=

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Answer:

So, filling the box plot from left to right, we have the following values;

1 , 5, 8 , 11, 16

Step-by-step explanation:

Here in this question, we are interested in fixing the values in the box plot from the data given.

Mathematically, the box plot shows 5 values;

going from left to write at each point, we have

minimum value

lower quartile also called Q1

Median

Upper quartile also called Q3

and lastly;

Maximum value

From the question;

minimum value = 1 while maximum value = 16

So also, the median should be easy to obtain.

the median is simply the middle number;

We have 15 numbers in the set;

So therefore the median is the 8th number, counting from any of the ends of the arranged set.

From the data, this is a value of 8

Now let’s calculate the lower quartile

To calculate the lower quartile, we just add 1 to the total and divide by 4

= (N + 1)/4

That would be (15 + 1)/4 = 16/4 = 4

So the lower quartile will be the 4th term which is 5

Now, let’s calculate the upper quartile;

= (N + 1) * 3/4 = (15 + 1)* 3/4 = 3/4 * 16 = 12th term

By counting, this is 11

MrRoyal

The numbers that complete the box are: 1, 5, 8, 11 and 16, in that order.

The dataset is given as: 1,4,4,5,5,7,8,8,10,11,11,11,14,15,16

The number to fill in the box plot are the minimum, lower quartile, median, upper quartile, and the maximum.

The smallest data is 1.

So, we have:

[tex]\mathbf{Minimum= 1}[/tex]

The largest data is 1.

So, we have:

[tex]\mathbf{Maximum= 16}[/tex]

The quartiles of the dataset are calculated as:

[tex]\mathbf{Q_n = n \times \frac{1 + N}{4}}[/tex]

Where N = 15 (the sample size)

So, the lower quartile (Q1) is calculated as:

[tex]\mathbf{Q_1 = 1 \times \frac{1 + 15}{4} = 4th}[/tex]

The 4th data element is 5.

So, the lower quartile is 5

The median (Q2) is calculated as:

[tex]\mathbf{Q_1 = 2 \times \frac{1 + 15}{4} = 8th}[/tex]

The 8th data element is 8.

So, the median is 8

The upper quartile (Q3) is calculated as:

[tex]\mathbf{Q_3 = 3 \times \frac{1 + 15}{4} = 12th}[/tex]

The 12th data element is 11.

So, the upper quartile is 11

So, the numbers that complete the box are: 1, 5, 8, 11 and 16, in that order.

Read more about box plots at:

https://brainly.com/question/1523909

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