Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month. 700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750 What is the standard deviation of the data? Round to the nearest whole number. A. 65 B. 75 C. 100 D. 130

QUESTION POSTED AT 10/10/2019 - 07:35 PM

Answered by answersmine AT 10/10/2019 - 07:35 PM

Answer:

Standard deviation of the data set is option C. 100.

Step-by-step explanation:

To find the standard deviation, we first have to calculate the mean (average) of the numbers.

Mean = addition of total value of data set / total number of values.

= 700+ 735+ 680+ 890+ 755+ 740+ 670+ 785+ 805+ 1050+ 820+ 750/ 12

= 9380 / 12 = 781.66 rounded to 782.

Mean = 782.

Next, we take each number and subtract the mean, taking the result and squaring it.

For this we get:

6724, 2209, 10404, 11664, 729, 1764, 12544, 9, 529, 71824, 1444, 1024.

Now we add all of these values and take the average by dividing the sum by 12.

Doing this we get 120868/12 = 10072.

The last step is the take the square root of that number to get the standard deviation. The final result is 100.

Post your answer

Related questions

How does adding an outlier affect the measures of center if the outlier is greater than the rest of the data? What if it is less than the rest of the data?

If the outlier is greater, ot brings the average up, but if it is lower it brings the average down, since its further away from the other numbers in the set.

Hope this helps!

ANSWERED AT 17/10/2019 - 09:16 AM


QUESTION POSTED AT 17/10/2019 - 09:16 AM

HELP PLEASE!! Determine whether the statement is true or false then EXPLAIN: Line Plots display individual data.

TRUE. I'm going to be using a picture from Google to help me out. In the graph below the line plots are telling how much Sarah's is as the years past. Each line plot tell the data of how much her car cost in whatever year the plot is in. For example, in 2006 her car cost $10,000. How do we know? We know this because the line plot is point towards 10,000 and downwards to 2006. This is data that the line plots are displaying fro us.So yes, line plots do display individual data.
Hope this helps!!! :) Pls mark me BRAINLIEST!  

ANSWERED AT 17/10/2019 - 09:15 AM


QUESTION POSTED AT 17/10/2019 - 09:15 AM

A school principal ordered 1000 pencils. He gave an equal number to each of seven teachers until he had given as many as possible. How many pencils were left?

6 pencils were left
-1,000 divided by 7=142.86
-142x7=994
-1,000-994=6

ANSWERED AT 17/10/2019 - 09:14 AM


QUESTION POSTED AT 17/10/2019 - 09:14 AM

A school principal ordered 1000 pencils he gave an equal number to each of seven teachers until he had given out as many as possible how many pencils were left

If you have 1000 pencils and you divide by 7 teachers, you would have 142 pencils divided evenly. Then you would take the 142 pencils and multiply by 7 which will give you a total of 994 pencils that went to the teachers in total. So the remaining pencils would be 1000 minus 994 and the total left over will be 6 pencils. I hope this helps.

ANSWERED AT 17/10/2019 - 09:14 AM


QUESTION POSTED AT 17/10/2019 - 09:14 AM

Six times a number is greater than 20 more than that number. What are the possible values of that number?

The answer is x>4 I just did this one

ANSWERED AT 17/10/2019 - 09:13 AM


QUESTION POSTED AT 17/10/2019 - 09:13 AM

Number 12! Please show work

1 qt = 4 cups
------   -------
2 qt       x

2 quarts = 8 cups = 128 ounces

1 cup = 8 ounces
--------    ------------
 8 cup       x 

2 quarts = 8 cups = 64 ounces

64 ounces/4 people =  16 ounces is the answer

ANSWERED AT 17/10/2019 - 09:12 AM


QUESTION POSTED AT 17/10/2019 - 09:12 AM

Kedar is comparing the costs of phone plans. For phone plan A, the cost is $15.00 to connect and then $0.02 per minute. For phone plan B, the cost is $4.69 to connect and then $0.08 per minute. For what usage does plan A cost the same as plan B

Answer:  After 172 minutes (approx) the usage of plan A is same as the plan B.

Step-by-step explanation:

Here, For phone plan A, the cost is $15.00 to connect and then $0.02 per minute.

And, For phone plan B, the cost is $4.69 to connect and then $0.08 per minute.

Let after x minutes the total usage of plan A is same as plan B.

Therefore, 15.00 + 0.02 x = 4.69 + 0.08 x

15.00 = 4.69 + 0.08 x - 0.02 x

15.00 - 4.69 = 0.06 x

0.06 x = 10.31

x = \frac{10.31}{0.06}

x = 171.833333333\approx 172

Thus, after 172 minutes (approx) the usage of both plan will be same.

ANSWERED AT 17/10/2019 - 09:12 AM


QUESTION POSTED AT 17/10/2019 - 09:12 AM

If JM = 5x – 8 and LM = 2x – 6, which expression represents JL?

The green line is LM
The red line is JM
The blue point is at the coordinates (2/3, -14/3)


you'll have to excuse the way my graph looks. my graphing application on my computer is weird 

ANSWERED AT 17/10/2019 - 09:11 AM


QUESTION POSTED AT 17/10/2019 - 09:11 AM

Choose the correct classification of x6 + 3x3 by number of terms and by degree

Degree is 6
There are 2 terms... I think... maybe....

ANSWERED AT 17/10/2019 - 09:10 AM


QUESTION POSTED AT 17/10/2019 - 09:10 AM

Identify as a direct variation, inverse variation or neither. Is the total cost to fill a car gas tank a direct or inverse variation with respect to the number of gallons used?

Answer:

It  is a case of a direct variation.

Step-by-step explanation:

Direct variation--

Two variables x and y are said to be in direct variation if there exist a constant k such that:

y=kx

i.e. with the increase/decrease in one variable the other variable also increases/decreases.

Inverse variation--

Two variables x and y are said to be in inverse variation if there exist a constant k such that:

xy=k

i.e. with the increase in one variable the other decreases and vice-versa.

Here the independent variable is: Number of gallons used.

and the dependent variable is: Total cost to fill a car gas tank.

As we know that as the number of gallons used increases the total cost also increases and it increases by some constant k.

Since, the cost of per gallons is some fixed.

ANSWERED AT 17/10/2019 - 09:09 AM


QUESTION POSTED AT 17/10/2019 - 09:09 AM

I need help with number 28. Please explain or show work. Thank you

X=4 I THINK IS THE ANSWER

ANSWERED AT 17/10/2019 - 09:08 AM


QUESTION POSTED AT 17/10/2019 - 09:08 AM

Please help with all nor one otherwise you will be reported . Show and explain all your work

37. Volume: l×w×h
38. Volume: (pi)r^2×h
39. Volume: (1/2b×h)×l

37. l=4
w=4
h=6

4×4×6
16×6= 96ft^3

38. (pi)=3.14
r=5
h=12

(3.14×5^2)×12
(3.14×25)×12
78.5×12= 942in^3

38. b=4
h=3
l=8

(1/2×3×4)×8
(1/2×12)×8
6×8= 48

ANSWERED AT 17/10/2019 - 09:07 AM


QUESTION POSTED AT 17/10/2019 - 09:07 AM

You roll a number cube. Event A: roll a number less than 3 Event B: roll an odd number Are the events disjointed or overlapping

I believe the answer is overlapping events

your welcome

ANSWERED AT 17/10/2019 - 09:06 AM


QUESTION POSTED AT 17/10/2019 - 09:06 AM

Please find the volume of each figure . Please show and explain all work or you will be reported do all and not some . 40) A 5m×3m×4m rectangular prism 41) A cube with edge of 6 ft 42) A cylinder with a height of 14 cm and base Diameter of 10 cm 43) A triangular prism with a base area of 15 square inches and height of 12 inches . 44) A cylinder with a base circumference of 8pi and height 7 45) A box has a volume of 24 ft^3 and base of 2 ft by 3 ft, what is the height ?

Volume formulas:
rectangle prism: l×w×h
cube: s^3
cylinder:(pi)r^2×h
triangle prism: (a×b/2)×h
cylinder:(pi)r^2×h
box:l×w×h

40) 5m×3m×4m =15m×4m= 60m^3

41) 6 ft × 6 ft ×6 ft = 36 ft × 6 ft = 216 ft^3

42) d=2r 10/2=5 r=5
3.14×5^2×14=78.5×14= 1099cm^3


43) 15=a×b/2 (area of trianlge)
15×12= 180in^3

44) c=2 (pi)r 8pi=2r (pi)
r=4
3.14×4^2×7=50.24×7=351.68

45) 24 ft^3 =2 ft × 3 ft × height
24=6×h
÷6 both sides
h=4ft

ANSWERED AT 17/10/2019 - 09:06 AM


QUESTION POSTED AT 17/10/2019 - 09:06 AM

Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle. Part 1: How many radians does the minute hand move from 3:35 to 3:55? (Hint: Find the number of degrees per minute first.) Part 2: How far does the tip of the minute hand travel during that time?

Part1

there are 360° in a circle (clock), and thus if we check how many degrees in a clock with 60minutes, then it'd be 360/60, or 6° per minute

now, the clock went from 3:35 to 3:55, 20 minutes, how many degree is that? 6*20

part2

\bf \textit{length of an arc}\\\\
s=\cfrac{r\theta\pi }{180}\qquad 
\begin{cases}
r=radius\\
\theta=\textit{angle in degrees}\\
----------\\
r=4\\
\theta=6\cdot 20
\end{cases}\implies s=\cfrac{4\cdot 6\cdot 20\cdot \pi }{180}

ANSWERED AT 17/10/2019 - 09:06 AM


QUESTION POSTED AT 17/10/2019 - 09:06 AM

A quadratic equation is shown below: 3x2 − 16x + 2 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. Part B: Solve 9x2 + 3x − 2 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

NightowlPart A)The discriminant of 3x2 − 16x + 2 is 232. That tells us there are 2 real solutionsPart B) solve by factoring9x2 + 3x − 2 = 0(3x+2)(3x-1)=03x+2 = 0    or   3x-1 = 0
x = -2/3   ,  1/3

ANSWERED AT 17/10/2019 - 09:03 AM


QUESTION POSTED AT 17/10/2019 - 09:03 AM

How many numbers between 10 and 99 are divisible by 5.

17 because 100 divided by 5 is 20 but you take away 3 because 5, 10, and 100 won't be accepted.

ANSWERED AT 17/10/2019 - 09:02 AM


QUESTION POSTED AT 17/10/2019 - 09:02 AM

. Find the volume of the composite space figure to the nearest whole number. 210cm^3 180cm^3 120cm^3 60cm^3

 n           i              g             g                   a   :)

Hope this helps you

ANSWERED AT 17/10/2019 - 09:01 AM


QUESTION POSTED AT 17/10/2019 - 09:01 AM

Which estimator will consistently have an approximately normal distribution? a.Proportion b.Median c.Standard d.Deviation range

Estimator is the rule for calculating estimation. 
The normal distribution is the most important and most widely used distribution in statistics.
The normal curve is symmetrical about the mean μ;The mean is at the middle and divides the area into halves;The total area under the curve is equal to 1;The Normal (Gaussian) distribution is completely determined by its mean and standard deviation σ (or variance σ2). 
The median estimator has an approximately normal distribution.

ANSWERED AT 17/10/2019 - 09:00 AM


QUESTION POSTED AT 17/10/2019 - 09:00 AM

What is 56 divided by 168 as a mixed number please answer ASAP

.333 translated to a fraction would be one-third or 1/3

ANSWERED AT 17/10/2019 - 08:59 AM


QUESTION POSTED AT 17/10/2019 - 08:59 AM

a) One number is five more than another number and the sum of the two numbers is 55, what are the numbers?

25 & 30
25+30=55
30-25=5

ANSWERED AT 17/10/2019 - 08:58 AM


QUESTION POSTED AT 17/10/2019 - 08:58 AM

Determine whether test point (-6,4) is a solution to the linear inequality x+y_<1

\bf \begin{array}{llll}&#10;-6&,&4\\&#10;\uparrow &&\uparrow \\&#10;x&&y&#10;\end{array}\qquad x+y\le 1\implies -6+4\le 1\implies -2\le 1

now, is it true that -2 is lesser than 1? if it's true, is a solution, if is false, is not then

ANSWERED AT 17/10/2019 - 08:58 AM


QUESTION POSTED AT 17/10/2019 - 08:58 AM

Determine the domain of the function h(x)= 8x/x(x^2-81)

H(x) = (8x)/x(x^2 - 81)
hx = 2^3(x^2 - 81)
hx = 2^3 • x^2 - 2^3 • 81

ANSWERED AT 17/10/2019 - 08:57 AM


QUESTION POSTED AT 17/10/2019 - 08:57 AM