Question

The question is below please help the points given are 100.

Answer 1

Answer:C and 12

Explanation:

List the numbers from least to greatest

8 8 10 14 16 18 20 22 24

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The first and last points of a box plot are the first and last nubmers in your list. So you know C is your box plot just from this information

quartiles are broken up 4 group(see the lines under numbers)

The middle number is 16 so that's your middle line in box.

Find the first middle number(first quartile) and that is average of 8 and 10 =9

The 3rd line(3rd quartile is the average of 20 and 22 which is 21

So the difference between 1st and 3rd is 12

Answer 2

Boxplot C.

The third quartile price was $12 more than the first quartile price.

Explanation:

A box plot shows the five-number summary of a set of data:

• Minimum value is the value at the end of the left whisker.
• Lower quartile (Q₁) is value at the left side of the box.
• Median (Q₂) is the value at the vertical line inside the box.
• Upper quartile (Q₃) is the value at the right side of the box
• Maximum is the value at the end of the right whisker.

To calculate the values of the five-number summery, first order the given data values from smallest to largest:

• 8, 8, 10, 14, 16, 18, 20, 22, 24

The minimum data value is 8.

The maximum data value is 24.

The median (Q₂) is the middle value when all data values are placed in order of size.

`\implies \sf Q_2 = 16`

The lower quartile (Q₁) is the median of the data points to the left of the median. As there is an even number of data points to the left of the median, the lower quartile is the mean of the middle two values:

`\implies \sf Q_1=(10+8)/(2)=9`

The upper quartile (Q₃) is the median of the data points to the right of the median. As there is an even number of data points to the right of the median, the upper quartile is the mean of the middle two values:

`\implies \sf Q_3=(20+22)/(2)=21`

Therefore, the five-number summary is:

• Minimum value = 8
• Lower quartile (Q₁) = 9
• Median (Q₂) = 16
• Upper quartile (Q₃) = 21
• Maximum = 24

So the box plot that represents the five-number summary is option C.

To determine how many dollars greater per share the third quartile price was than the first quartile price, subtract Q₁ from Q₃:

`\implies \sf Q_3-Q_1=21-9=12`

Therefore, the third quartile price was $12 more than the first quartile price.