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kenny6666 [7]
2 years ago
15

Find five numbers so that the mean, median, mode and range is 4.​

Mathematics
1 answer:
Nuetrik [128]2 years ago
8 0

Answer:

Let’s break this apart

Well we know the median has to be 4

Since it’s 5 numbers the middle number has to be 4 since its the median.

Let’s put in what we know.

a, b, 4, d, e

Constraints:

There has to be more then 1 “4”.

e-a = 4

So using that information lets solve since the possibility is almost endless

<u></u>

SO lets make e 5 and a 1.

1, b, 4, d, 5

There has to be more then 1 4 so lets put that as b.

We can solve for the last remaining digits.

1+ 4 + 4 + d + 5 / 5 = 4

14 + d /5 = 4

2.2 + d = 4

1.8 = d

So now if we put in order and replace b with 1.8 and make d as the previous “b” as 4.

1, 1.8, 4, 4, 5

Thats your 5 numbers right there.

Check:

Mode is 4: yes!

Range is 4: 5-1 = 4 yes!

Median is 4: yes!

Mean is 4: 1 + 1.8 + 4 + 4 +5 / 5 = 4 yes!

Every thing checks out.

There could be a lot of possibilities.

For example take this wrong one

Lets make the same exact thing except change the a and the e.

THis is what we have,

a, b, 4, d, e

Lets make e and a as 6 and 2.  6-2 is still 4 so its possible.

2, b, 4, d, 6

And of course we need more then 1 4 so lets make d 4.

2, b, 4, 4, 6

Now solve for b in the mean.

2 + b + 4 + 4 + 6  / 5 = 4

16 +b /5 = 4

3.2 + b = 4

Solve

B = 0.8

This doesn’t work cause the median and the range has constraint here…

When doing a median, it has to be in ORDER.

2, 0.8, 4, 4 , 6 isn’t in order

ANd even when put in order.

0.8, 2, 4, 4, 6

THe range has the constraint here becuase 6 - 0.8 isn’t 4.

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Answer:

sin \theta =\cfrac{7}{8}

Step-by-step explanation:

Using the given identity, find the  required value as per following steps:

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sinx=\sqrt{ 1 - (cos x)^2}

sin \theta = \sqrt{1-(\cfrac{\sqrt{15}}{8})^2  } = \sqrt{1-\cfrac{15}{64} } =\sqrt{\cfrac{49}{64} }=\cfrac{7}{8}

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1 year ago
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It is g(x) =2 there I guessed hope correct.
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Answer:

It was 26.5 degrees colder at midnight than at 2:00 pm

Step-by-step explanation:

We have that:

At 2:pm, it was 4 degrees.

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From 2pm to 9pm, there are 7 hours. 2.5 per hour, it was 4 degrees at 2 pm.

So at 9 pm the temperature is:

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How much coldren

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It was 26.5 degrees colder at midnight than at 2:00 pm

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Which of the following is a benefit of increasing the sample size when trying to estimate the mean from a sample average?
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Answer:

Step-by-step explanation:

The larger the sample size, the lower the standard deviation. The standard deviation shows how the data is spread from the mean. Therefore, benefit of increasing the sample size when trying to estimate the mean from a sample average are

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b. A reduction in the variability of the estimate.

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A smaller standard deviation and increased size would result to a narrower confidence interval. Therefore, increasing the sample size does not result to an increase in the width of the resulting confidence interval.

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What is 0.402 in scientific notation?
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