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3 years ago

In describing a dataset, what does the standard deviation or standard error represent?

Mathematics

1 answer:

ivann1987 [24]3 years ago

7 0

A measure of the variation around the estimate of the mean.

The standard deviation is a statistic that lets you know how tightly all the subjects are clustered around the mean in a set of data. A single standard deviation away from the mean in either of the directions accounts for somewhere around 68 % of data. If two standard deviations are away from the mean, it accounts for around 95% of data. If three standard deviations are away it accounts for 99% of the data.

1) The total range of variation in the dataset is called RANGE.

3) A measure of the variation around the estimate of the mean is SEM (STANDARD ERROR OF THE MEAN).

4) The most common value observed (highest frequency) is MODE.

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Bamboo plants grow rapidly. A bamboo plant is 130 inches tall. Tomorrow it will be 143 inches tall, the next day it will be 156

tensa zangetsu [6.8K]

An arithmetic sequence has a common difference.
143 - 130 = 13
156 - 143 = 13
169 - 156 = 13
The common difference is 13.

a1 = 130
a2 = 130 + 13
a3 = 130 + 2 * 13
a4 = 130 + 3 * 13
...
an = 130 + (n - 1) * 13

an = 130 + 13(n - 1)

an = 130 + 13n - 13

an = 117 + 13n

an = 13n + 117

4 0

3 years ago

Solving proportions

Archy [21]

If you crossed multiplied than got an equation than x=6 ( if that's what your looking for)

4 0

3 years ago

Select the correct answer. What is the difference of the values of the two variables in this system of equations? Y = 2x + 1 x +

zzz [600]

Answer:

Option C. $2$

Step-by-step explanation:

we have

$y=2x+1$ -----> equation A

$x+3y=10$ -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (1,3)

see the attached figure

therefore

The solution of the system of equations is

$x=1,y=3$

Find the difference

$y-x=3-1=2$

8 0

3 years ago

Elizabeth is a manager at a nursery and is in charge of displaying potted trees in rows. Elizabeth has 330 citrus trees and 180

raketka [301]

Answer: 30 trees

Step-by-step explanation:

Elizabeth has 330 citrus trees and 180 palm trees

The largest number of trees that she can have in a row will base on the highest common factor between the two number of trees

330 = 2 × 3 × 5 × 11

180 = 2 × 2 × 3 × 3 × 5

HCF = 2 × 3 × 5

HCF = 30

The largest number of trees that she can have in a row is 30 trees.

8 0

2 years ago

Please help :) this is exponential decay 10 pts

VMariaS [17]

$50.00 after 0 months and $37.50 after 6 months.
We first must calculate half-life using the attached formula.
Half-Life = (time * ln(2)) / ln (beginning amount/ending amount)
Half-Life = (6 * 0.69314718056) / ln (50.00 / 37.50)
Half-Life = ( 4.1588830834 ) / ln ( 1.3333333333 )
Half-Life = ( 4.1588830834 ) / 0.28768207245
Half-Life = 14.456525038 months

Now we need to calculate "lambda"
lambda = ln(2) / half-life
lambda = 0.69314718056 / 14.456525038
lambda = 0.0479470121 

Next we have to use this formula:
Ending Amount = beginning amount • e^( -lambda • time )
(where "e" is the mathematical constant 2.718281828...)
Ending Amount = 50 * 2.718281828^(-0.0479470121*24 months)
Ending Amount = 50 * 2.718281828^(-1.1507282904)
Ending Amount = 50 * 0.3164062499 
Ending Amount = 15.82 dollars

**********************************************************************
As a DOUBLE-CHECK we can work this out every 6 months:

0 months $50
6 months = $50 - (50 *.25) = 37.50
12 months = $37.50 -(37.50 *.25) = 28.125
18 months = $28.125 -(28.125 * .25) = 21.09375 
24 months = $21.09375 -(21.09375 * .25) = 15.8203125 

You'll find this page quite helpful:
http://www.1728.org/halflif2.htm

5 0

3 years ago

Read 2 more answers