Question

The data list shows the cost, in dollars, of different brands of sneakers at a shoe store.

44.99, 59.99, 32.30, 65.00, 52.59

What is the population standard deviation, to the nearest tenth, of the data (assuming this is all of the data)?

Answer 1

You're really asking the same question.... a week later...? Even after I respond multiply times... But you won't even respond???

Answer 2

\(\sigma =\sqrt{ \dfrac{\sum(x_i-\mu)^2}{N}}\)

where
\(\sigma\) = population standard deviation
\(\sum\) = the sum from 1 to N
\( x_i\) = each individual data point
\(\mu\) = mean of the data list
N = total number of data points

so to first find the population standard deviation, can you tell me what the average or mean is?

44.99, 59.99, 32.30, 65.00, 52.59

How many numbers do we have? That's going to be our N.
Add them all and divide by that number N. That will be our mean.

What do you get?

Answer 3

Just answer my questions and we can find the standard deviation one step at a time

How many numbers are in your list:
44.99
59.99
32.30
65.00
52.59

Can you count how many numbers there are?

Answer 4

Then add all those numbers up
44.99 + 59.99 + 32.30 + 65.00 + 52.59

What do you get?

And then divide the number that you get now by how many numbers there were in your list

Answer 5

That's going to give us your \(\mu\) or mean

Once you answer those few questions I asked you above, we can move to the other variables and complete your question :)

Answer 6

But like if you're seriously that incompetent and really don't want to work through the question with me... have you even decided to put any effort into your question?

Or like even search up a calculator
https://www.easycalculation.com/statistics/standard-deviation.php

Answer 7

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
Just answer my questions and we can find the standard deviation one step at a time

How many numbers are in your list:
44.99
59.99
32.30
65.00
52.59

Can you count how many numbers there are?
\(\color{#0cbb34}{\text{End of Quote}}\)
6

Answer 8

Do you want to count them again for me? Maybe try using your hands this time??

Answer 9

5

Answer 10

Much better

Answer 11

Now add all the numbers

44.99 + 59.99 + 32.30 + 65.00 + 52.59 =

Answer 12

254.87

Answer 13

I suggest dividing that by 5.

Answer 14

Divide by 5

Answer 15

50.974

Answer 16

= 51

Answer 17

keep it as 50.974

Answer 18

it says to the nearest tenth,

Answer 19

so now we do that

\( x_i - \mu\) part

so what is

44.99 - 50.974 =
59.99 - 50.974 =
32.30 - 50.974 =
65.00 - 50.974 =
52.59 - 50.974 =

Answer 20

\(\color{#0cbb34}{\text{Originally Posted by}}\) @b1az3
it says to the nearest tenth,
\(\color{#0cbb34}{\text{End of Quote}}\)

#1
51 isn't even the nearest tenth. That's a whole number

#2
You only round once you get to the last final answer. Not any time sooner than that

Answer 21

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
so now we do that

\( x_i - \mu\) part

so what is

44.99 - 50.974 =
59.99 - 50.974 =
32.30 - 50.974 =
65.00 - 50.974 =
52.59 - 50.974 =
\(\color{#0cbb34}{\text{End of Quote}}\)

so tell me what you get for each one of these

because we still have quite a ways to go to get to your final answer