<img src="https://tex.z-dn.net/?f=7%20-%20%20%5Csqrt%7B5%20%5Cdiv%20%20%207%20%20%2B%20%20%5Csqrt%7B5%7D%20" id="TexFormula1" ti

Standard deviation is a measure of variation. One way to judge the value of standard deviation is by looking at the range of the data. In general, a dataset with a smaller range will have a smaller standard deviation.

The range of data Set A is 25-1 = 24.

The range of data Set B is 18-8 = 10.

Set A's range is larger, so we expect its standard deviation to be larger.

The standard deviation is the root of the mean of the squares of the differences from the mean. In Set A, the differences are ±12, ±11, ±10. In Set B, the differences are ±5, ±3, ±1. We don't actually need to compute the RMS difference to see that it is larger for Set A.

Set A's standard deviation is larger than Set B's.

5 0

2 years ago

A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng

tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So, $xy \leq 8000$

So, $x(220-x) \leq 8000$

$220x-x^2 \leq 8000$

So, $220x-x^2 = 8000\\-x^2+220x-8000=0$

General quadratic equation : $ax^2+bx+c=0$

Formula : $x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031$

So, The possible parking lengths are 45.96 feet and 174.031 feet

3 0

2 years ago

How can you represent data that relates to two different categories?

siniylev [52]

Answer:

you can use a graph like a bar graph or a pie chart. or a table that has two parts like what is linked. make sure for the graph to have a key

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

In a certain college, 37% of the physics majors belong to ethnic minorities. Find the probability that, from a random sample of

VLD [36.1K]

The answer is 95.4525 percent because you would use an equation

n!/(r!(n-r)! x (P)^x * (1-P)^(n-x)

Plug in the number correspondingly

N= 10

R= 1 , 2 , 3 , 4 , 5 , 6 (You will have to do each individual, if you have a Ti-nspire calculator however there is a built program called binomialcdf.

P= .37

x = r

After plugging this is the achieved answer is 95.4525

(.0578 + .1529 + .2394 + .2461 + .1734 + .0849) x 100

additive may be a little off due to rounding.

6 0

2 years ago