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jonny [76]
1 year ago
14

The data set shows the admission prices at several museums. $20, $20, $16, $12, $15, $25, $11 Find and interpret the range, inte

rquartile range, and mean absolute deviation of the data. The range is . The interquartile range is . The mean absolute deviation is . Question 2 The prices vary by no more than $ . The middle half of the prices vary by no more than $ . The admission prices differ from the mean price by an average of $ . 7 of 8 answered need help?check answer Next
Mathematics
1 answer:
Gemiola [76]1 year ago
8 0
11, 12, 15, 16, 20, 20, 25
Mean: 17

The range is 25-11 = 14 (the numbers in bold)

The interquartile range is 20-12=8 (the numbers underlined)

The mean absolute deviation is: 4; this is found by finding how far each number is from 17 (mean): 6,5,2,1,3,3,8  (28) and dividing by 7.

Part B:

The prices vary by no more that $14 (range).

<span>The middle half of the prices vary by no more than $8 (IQR).
</span>
<span>The admission prices differ from the mean price by an average of $4 (MAD).</span> 

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b. Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box.
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First box = 14 pounds

Second box = 2x = 28 pounds

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<u>Step-by-step explanation:</u>

Here we have , Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box. The third box contained two more pounds than the first box. The last box contained one-fourth the amount in the second box. We need to find How much candy was in each box. Let's find out:

We have a total of 65 pounds of candy ! Let in first box we have x pounds so , second box contained twice the amount of the first box i.e.

⇒ 2x

The third box contained two more pounds than the first box i.e.

⇒ x+2

The last box contained one-fourth the amount in the second box i.e.

⇒ (\frac{1}{4})2x = \frac{x}{4}

Therefore , Sum of pounds of candy are :

⇒ \frac{x}{2} +x+2+2x+x=65

⇒ \frac{x}{2} +4x=63

⇒ \frac{9x}{2}=63

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Therefore , Candy in each box is :

First box = 14 pounds

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What is the value angle marked x?
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Answer: x =104

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If we draw the black line shown in the figure, two isosceles triangles are formed, and the base angles of the isosceles triangles are the same. The red angles are the same and the green ones too. The 104 degree angle is the sum of the red angle and the green angle, and x is also the sum of the red angle and the green angle, therefore x = 104.

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