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FinnZ [79.3K]
3 years ago
14

If a data set has 20 data values, the number of values in the upper quartile is .

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
4 0
The upper quartile is 5.5
Sladkaya [172]3 years ago
4 0
<h2>Answer:</h2>

The number of values in the upper quartile is : 10

<h2>Step-by-step explanation:</h2>

We know that our data is divided into three quartiles:

1)

First quartile or lower quartile i.e. Q_1--

It is the median of the lower set of the data.

2)

Median or middle quartile i.e. Q_2--

Median is the central tendency of the data and it always exist in the middle of the data set.

3)

Upper quartile or Third quartile i.e. Q_3--

It is the median of the upper set of data.

Now, if there are even number of data points then the median exist in between two middle values and the upper and lower set of data takes half the data values.

Here we have number of data points as: 20

This means that the median of the data is between 10th and 11 th value i.e. 10.5

Hence, the lower set of data will have: 10 values

and the upper set of the data has: 10 values.

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Answer:

3

Step-by-step explanation:

15

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12

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3

3 0
3 years ago
A large on-demand, video streaming company is designing a large-scale survey to determine the mean amount of time corporate exec
Firdavs [7]

Answer:

554 executives should be surveyed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Standard deviation of 3 hours.

This means that \sigma = 3

The 95% level of confidence is to be used. How many executives should be surveyed?

n executives should be surveyed, and n is found with M = 0.25. So

M = z\frac{\sigma}{\sqrt{n}}

0.25 = 1.96\frac{3}{\sqrt{n}}

0.25\sqrt{n} = 1.96*3

\sqrt{n} = \frac{1.96*3}{0.25}

(\sqrt{n})^2 = (\frac{1.96*3}{0.25})^2

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Rounding up:

554 executives should be surveyed.

8 0
3 years ago
Can someone please answer this?
galina1969 [7]
Since we know the side length of the square (6), we can calculate its diagonal using pythagoras.

diag d = √(6²+6²) = 6√2 in

The diagonal is also the diameter of the circle! So the radius of the circle is half of that:

radius r = d/2 = 3√2 in

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5 0
3 years ago
What is being constructed based on the markings in the following diagram?
Liula [17]

Answer:

  perpendicular line through a point on a line

Step-by-step explanation:

The circle centered at C seems intended to produce point D at the same distance as point B. That is, C is the midpoint of BD.

The circles centered at B and D with radius greater than BC seems intended to produce intersection points G and H. (It appears accidental that those points are also on circle C. As a rule, that would be difficult to do in one pass.)

So. points G and H are both equidistant from points B and D. A line between them will intersect point C at right angles to AB.

Segment GH is perpendicular to AB through point C (on AB).

6 0
3 years ago
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grigory [225]
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Hope I helped!

Let me know if you need anything else!

~ Zoe
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