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Ad libitum [116K]
3 years ago
6

In a box-and-whisker plot, the interquartile range is a measure of the spread of the middle half of the data. Find the interquar

tile range for the data set: 10, 3, 7, 6, 9, 12, 13
Mathematics
1 answer:
Bezzdna [24]3 years ago
8 0
In statistics, it is imperative to arrange your data entries from least to greatest. That would be the first step of our solution

3  6  7  9  10  12  13

Interquartile range is the difference of the last quartile to the first quartile. Divide your entire data set into four parts. Each division is called a quartile. Its numerical value is the average of its numbers. However, since our data set contains 7 numbers, which is odd, we write the median (middle value) twice. The quartiles are:

3  6 |  7  9 | 9  10 |  12  13

Q₁= (3+6)/2 = 4.5
Q₂ = (7+9)/2 = 8
Q₃ = (9+10)/2 = 9.5
Q₄ = (12+13)/2 = 12.5

The interquatile range is Q₄ - Q₁ = 12.5 - 4.5 = 8
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The prime factorization of the number 24 is 2 × 2 × 2 × 3.

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A baker recorded the number of batches of
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Answer:

B. The lower extreme increased.

Step-by-step explanation:

From the original box and whisker plot, the lower extreme (minimum) is 5 ; The upper extreme, maximum is 15.

The number of batches baked on the eight day is 20. This exceeds tbe previous maximum value. Hence, upper extreme( maximum) value of the new plot will change from 15 to 20.

The lower extreme isn't affected as the obtained value isn't below 5.

The median value will Increase and the upper quartile value will also increase. Once the upper quartile value increases, the interquartile range will also increase

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A sample of 4 different calculators is randomly selected from a group containing 19 that are defective and 36 that have no defec
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<span><span>The probability of all calculators having no defects is 16.8%. The probability of at least one defect is the complement of that probability. 
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3 years ago
Determine which of these illustrates two quantities that combine to make 0.
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6 0
3 years ago
Help. Please. Thank You.
GenaCL600 [577]

Answer:

(A)\ a=-6;b=4\\\\ (B)\ a=6;b=-4

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+c

Where "m" is the slope and "c" is the y-intercept.

By definition:

1. If the lines of the System of equations are parallel (whrn they have the same slope), the system has No solutions.

2. If the they are the same exact line, the System of equations has Infinite solutions.

(A) Let's solve for "y" from the first equation:

3x-2y=-1\\\\-2y=-3x-1\\\\y=\frac{3}{2}x+\frac{1}{2}

You can notice that:

m=\frac{3}{2}\\\\c=\frac{1}{2}

In order make that the System has No solutions, the slopes must be the same, but the y-intercept must not. Then, the values of "a" and "b" can be:

a=-6\\\\b=4

Substituting those values into the second equation and solving for "y", you get:

-6x+4y=-2\\\\4y=6x-2\\\\y=\frac{6}{4}x-{2}{4}\\\\y=\frac{3}{2}x-\frac{1}{2}

You can idenfity that:

m=\frac{3}{2}\\\\c=-\frac{1}{2}

Therefore, they are parallel.

(B) In order make that the System has Infinite solutions, the slopes and the y-intercepts of both equations must be the same. Then, the values of "a" and "b" can be:

a=6\\\\b=-4

If you substitute those values into the second equation and then you solve for "y", you get:

6x+(-4y)=-2\\\\-4y=-6x-2\\\\y=\frac{-6}{-4}x-\frac{2}{-4}\\\\y=\frac{3}{2}x+\frac{1}{2}

You can identify that:

m=\frac{3}{2}\\\\b=\frac{1}{2}

Therefore, they are the same line.

3 0
3 years ago
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