Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Find the variance and standard deviation of each set of data to the nearest tenth.{2.4, 5.6, 1.9, 7.1, 4.3, 2.7, 4.6, 1.8, 2.4}

$\sigma^{2}=3.1$$\sigma=1.8$

Intro Stats / AP Statistics

Algebra

Chapter 12

Probability and Statistics

Section 6

Statistical Measures

Sampling and Data

The Normal Distribution

Introduction to Combinatorics and Probability

Campbell University

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

04:57

Find the variance and stan…

10:13

04:43

07:42

06:42

05:50

06:15

00:50

Find the mean and the stan…

05:51

04:14

that will always be your first steps. So you look at your list and you count how much you have in your lists. It turns out there's nine. So remember the mean or the average is the same as adding up all of your numbers in your list and then dividing by night. So we're gonna add up the 2.4 plus the 5.6 plus the one 0.9 plus the 7.1 plus the 4.3 plus the 2.7 and 4.6 and the 1.8 and the 2.4 and you get 32.8 already. And then you divide that by nine, and you get 3.6 officially rounds to the nearest 10th of 3.6. So you're going to be using a 3.6 quite often in step two. So very of the seeing how far away your spread is from the mean So, um, we're going to take all the numbers in the list all not above, and subtract the six, the 3.6. So I'm gonna write 2.4, minus 3.6 and 5.613 point six and noticed were squaring because when you subtract, sometimes you're going to end up with negatives. But we can't have negatives were doing very interesting a deviation. So we square that remember whenever you square negative, it becomes positive. So that's why the squaring is going to happen eventually. Sort of subtract first, then square for all nine of these items in the list. So 2.4 minus 3.6 and then we square it get 1.44 Okay, 5.6 minus 3.6. And then I spirit we four. Okay, 1.99 of 3.6 and square it. We get 2.89 7.1. Line 3.6 and square it. You get 12.25 4.3 minus 3.6. Squared is 0.49 2.793 point six squared is pointing one 4.6. Lie in the 3.6 is one. So once weird is one as well. Uh, 1.8 my nephew 0.6. It's negative. 1.8 weeks for that 3.24 and then 2.4 minus 3.6 square is the new one point for four. So the variance officially is the average of all of these numbers that we just calculated. So that means I'm gonna take all nine of these numbers and find the average of so we Adam and divide by nine to get and that will be our variants. So 1.44 plus four was 2.89 plus 12.25 plus point for nine plus 90.81 last one plus 3.24 plus 1.44 Get us 27. 56. Do not turn out nicely. Much weather. Okay. And then we divide that by nine. Okay, so we get 3.1 when we round to the nearest 10th which is what you're gonna probably need to do on some of these. So 3.1 is one of our final answers. But then we take that 3.1, and we use that to get the sinner deviation as our finals at the standard deviation is very simple. You just take the square root of the number that we just got that 3.1 and you scared that and around the near sent, and you should get approximately 1.7. Now, if you square root the whole thing that's from your calculator. It is 1.7. But if you just do the square root of 3.1, then that around a 1.8. So it just depends what you put in your calculator. So I would say, based on the fact that if we're rounding to the nearest 10th here and then we input that into our sin deviation, that's more likely going to work out of your final answer number. Sure, you're a teacher, revealing it with that. It just depends on what they're rounding. Specifications are, so make sure you ask your specific teacher.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, the absolute value or modulus |x| of a real number x is its …

Find the variance and standard deviation of each set of data to the nearest …

Find the mean and the standard deviation for each set of values.$$21…

01:10

An administrative assistant has 4 blue file folders, 3 red folders, and 3 ye…

02:02

Three cards are drawn from a standard deck of cards. Find each probability.<…

09:08

$$\begin{array}{|c|c|}\hline Score & {Frequency} \\ \hline 90 & {3} …

01:12

Anita scores well enough at a carnival game that she gets to randomly draw t…

01:04

BASEBALL For Exercises $36-38$ , use the following information. Albert and P…

04:33

The table lists the areas of some large shopping malls in the United States.…

02:09

Find the indicated term of each expansion.sixth term of $(x-y)^{9}$

00:55

Solve each equation or inequality.$\ln (x-1)=3$

00:45

What is the probability that a randomly selected student spends more than 3 …

00:57

Evaluate each expression.$$\frac{7 !}{4 !}$$

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.