Determine the mean, standard deviation, and five number summary of each data set round to the nearest hundredth, if necessary
Answers
I'll do problem 3 to get you started.
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Part 1) Finding the mean:
The mean is found by adding up all the numbers and dividing by n, where n is the number of items in the set.
We sum the numbers to:
5+8+5+9+6+15+9+3+8+7+10+12 = 97
Then we divide over n = 12
mean = sum/n = 97/12 = 8.083333 approximately
This rounds to 8.08
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Part 2) Finding the standard deviation:
I'm assuming your teacher is talking about the population standard deviation, as opposed to the sample standard deviation.
First subtract each value from the mean. It helps to make a table as shown in the attachment below.
Column A is the original data set. Column B is when we subtract each data item x from the mean M.
Column C is where we square each item in column B.
Adding up everything in column C leads to 118.916666666667 which is approximate. This value is highlighted in the table diagram. Divide this over n = 12 to get 9.90972222222222 which is also approximate
The last step is to apply the square root to that and we get 3.1479711279
This rounds to 3.15
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Part 3) Finding the min:
From here on out, we have fairly simple calculations and don't need to involve a spreadsheet or any complicated formulas.
The min value is the smallest value of the set. So that would be 3
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Part 4) Finding the value of Q1, first quartile:
Sort the items in ascending order, ie from smallest to largest.
You should get this set: {3, 5, 5, 6, 7, 8, 8, 9, 9, 10, 12, 15}
There are n = 12 items here, so the median is between slot 12/2 = 6 and slot 7. The values in slot 6 and 7 are the two copies of '8'. That must mean the median is (8+8)/2 = 8.
Now break up the set into two equal halves
L = {3, 5, 5, 6, 7, 8} = lower half of six items
U = {8, 9, 9, 10, 12, 15} = upper half of six items
The median of set L is exactly the value of Q1, so that would be (5+6)/2 = 11/2 = 5.5; note how this is exactly between the two middle most values of 5 and 6.
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Part 5) Finding the median:
We found that earlier in part 4. The median is 8.
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Part 6) Finding the value of Q3, third quartile:
Focus on set U = {8, 9, 9, 10, 12, 15}, which was the upper set of values, ie values larger or equal to the median.
The middle two values here are the '9' and '10'. The median is at the midpoint of these values: (9+10)/2 = 19/2 = 9.5
We have Q3 = 9.5
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Part 7) Finding the max:
The max is the largest item in the original set
Refer to the sorted set {3, 5, 5, 6, 7, 8, 8, 9, 9, 10, 12, 15} and we see that 15 is the max.
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Part 8) Finding the IQR (interquartile range):
Subtract the values of Q3 and Q1 to get the IQR
IQR = Q3 - Q1
IQR = 9.5 - 5.5
IQR = 4
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Part 9) Finding the range:
The range is a similar idea as the IQR; however, we'll subtract the max and min this time.
Range = max - min = 15 - 3 = 12
The range is 12.
The range, IQR and standard deviation all help us determine the spread of the data. The larger the value gets, the more spread out the data is.
---------------------------------------------------------
Summary:
Mean = 8.08 (approximate)Standard Deviation = 3.15 (approximate)Min = 3Q1 = 5.5Median = 8Q3 = 9.5Max = 15IQR = 4Range = 12Side note: The phrase "five number summary" refers to the five values of: min, Q1, median, Q3, max. All of which are needed to form a box-and-whisker plot.
Related Questions
A restaurant wants to study how well its salads sell. The circle
graph shows the sales of salads during the past few days. If 5 of
the salads sold were Caesar salads, how many total salads did
the restaurant sell?
Answers
Answer:
25
Step-by-step explanation:
20 : 100 = 5 : x
x = (5 x 100) / 20 = 25
Name
Use the given information to answer Problems 7-11.
Leon and Jacey work for a florist. They each program a drone
to deliver boxes of flowers to neighbors. With Leon's program,
he must manually attach the box to the drone. With Jacey's
the drone can pick up one box at a time from a pile.
program,
ram
Please help!!
Answers
Answer:
#7: 30 seconds On The Graph The Drone Has Not Moved and The Time Is At 30 Seconds :)
#8 : 20 Seconds On The Graph All The times go Up by 20 So that is the only Possible answer
#9: Leon Drone Is Faster Look At The Graph 60 Seconds = 10 Feet And Jacey's Graph its 80 Seconds For 10 Feet And I could Go On
#10 The Time In Seconds
#11 With slow speed you can guarantee it will not be broken or damaged
I Hope This Helps :) Please Give Brainiest If It Makes Sense To You !
Thanks :)
The Arc Electronic Company had an income of 7676 million dollars last year. Suppose the mean income of firms in the same industry as Arc for a year is 9090 million dollars with a standard deviation of 77 million dollars. If incomes for this industry are distributed normally, what is the probability that a randomly selected firm will earn more than Arc did last year
Answers
Answer:
0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Suppose the mean income of firms in the same industry as Arc for a year is 90 million dollars with a standard deviation of 7 million dollars.
This means that [tex]\mu = 90, \sigma = 7[/tex]
What is the probability that a randomly selected firm will earn more than Arc did last year?
Arc earned 76 million, so this is 1 subtracted by the pvalue of Z when X = 76.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76 - 90}{7}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
1 - 0.0228 = 0.9772
0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year
Find f'(x) for the given function.
f(x) = 5/3-x
Answers
Answer:
The derivative is:
[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]
Step-by-step explanation:
We are given the following function:
[tex]f(x) = \frac{5}{3-x}[/tex]
Derivative of a quotient:
Suppose we have a quotient:
[tex]f(x) = \frac{g(x)}{h(x)}[/tex]
The derivative is:
[tex]f^{\prime}(x) = \frac{g^{\prime}(x)h(x) - h^{\prime}(x)g(x)}{h(x)^2}[/tex]
In this question:
Numerator [tex]g(x) = 5, g^{\prime}(x) = 0[/tex]
Denominator [tex]h(x) = 3 - x, h^{\prime}(x) = -1[/tex]
So
[tex]f^{\prime}(x) = \frac{0(3-x) - 5}{(3 - x)^2} = -\frac{5}{x^2-6x+9}[/tex]
The derivative is:
[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]
Pls help, i will give brainliest:
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys. Choose all that are correct.
The median for the girls is 16.
The median for the boys is 22.
The interquartile range for the girls is 28
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Answers
Answer:
a,b,e
Step-by-step explanation:
Answer:
B, D, E
OR
The median for the boys is 22
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Step-by-step explanation:
I just did it and got it right
Find the area of the trapezoid.
Recall : (b + b) h
Answers
Answer:
36 Sq cm
Step-by-step explanation:
Area of the trapezoid
[tex] = \frac{1}{2} \{8 + (4 + 8 + 4) \} 3\\ \\ = \frac{1}{2} \{8 + 16 \} 3\\ \\ = \frac{1}{2} \times 24 \times 3\\ \\ = 12 \times 3 \\ \\ = 36 \: {cm}^{2} [/tex]
You invested $101 and received $106.05 after one year.what was the interest rate?
Answers
The person below me is true
What is the equation of this circle in standard form?
A.
(x + 5.5)2 + (y + 4)2 = 12.25
B.
(x − 5.5)2 + (y − 4)2 = 3.5
C.
(x + 5.5)2 + (y + 4)2 = 3.5
D.
(x − 5.5)2 + (y − 4)2 = 12.25
Answers
Answer:
D.
(x − 5.5)2 + (y − 4)2 = 12.25
Elena went to a sporting goods store that
was having a sale. She bought a tennis
racket and 3 cans of tennis balls. How much
will she pay for everything, including tax?
Answers
Are there any other numbers to this question? I will be glad to help.
simplify fully (9(x+7))÷(3(x-1))
Answers
Answer:
3x + 60
Step-by-step explanation:
9(x + 7) ÷ 3(x - 1) =
9x + 63 ÷ 3x - 3 =
9x ÷ 3x + 63 - 3 =
3x + 60
Note: For the third equation which is 9x ÷ 3x and etc, you have to put alphabets and numbers at one side seperately to be able to simplify easily.
If it take Jon 10 minutes to go to work going 27 miles/ hr how long will it take him going 40 miles per hour
Answers
Answer:
I think its 6.75
Step-by-step explanation:
A researcher is trying to show evidence for extra-sensory perception (ESP). She performs a test in which the subject is asked 10 yes or no question whose answer depends on information which the subject has not observed. Suppose that for each test, in the absence of ESP, the subject gets each question correct with 50% probability a) In the absence of ESP, what is the probability that a given test subject will answer at least 8 out of 10 questions correctly
Answers
Answer:
The answer is "0.0547".
Step-by-step explanation:
[tex]P(Correct) = 0.50\\\\n = 10\\\\x = 8[/tex]
Using the binomial distribution:
[tex]\to P(x,n) = n_{C}_x \times p^x \times (1-p)^{(n-1)}\\\\\to P(x \geq 8) = 1 - P( \leq 7)[/tex]
Calculating the excel formula:
[tex]=BINOM.DIST(7,10,0.50,TRUE)[/tex]
[tex]\to P(x \geq 8) = 1 - 0.9453\\\\ \to P(x \geq 8) = 0.0547[/tex]
10(2x - 4) + 5 = 2x - 8
Answers
Step-by-step explanation:
10(2−4)+5=2−8
10(2x-4)+5=2x-810(2x−4)+5=2x−8
Solve
1
Distribute
10(2−4)+5=2−8
20−40+5=2−8
2
Add the numbers
3
Add
35
3535
to both sides of the equation
4
Simplify
5
Subtract
2
2x2x
from both sides of the equation
4. Se contrata un bus para hacer una excursión, si se hubieran completado los asientos el costo del
pasaje por persona hubiera sido de $10, pero faltaron 10 personas, entonces el costo del pasaje por
persona es de $15.¿Cuántos asientos tiene el bus ?
Answers
Answer:
???
Step-by-step explanation:
Find an equation of the line whose slope in 5/2 and whose x intercept is -3
Answers
Answer:
5/2 x -3
Step-by-step explanation:
Need help with math homework
Answers
find each measurement indicated. Round your answers to the nearest tenth. Please SHOW WORK!!
Answers
9514 1404 393
Answer:
9) 39.7°
10) insufficient information
11) 20.0 in
12) 19.0 m
Step-by-step explanation:
These Law of Sines problems are all worked the same way. For sides a, b, and opposite angles A, B, the relevant relationship is ...
a/sin(A) = b/sin(B)
This gives rise to formulas for angle and side:
A = arcsin(a/b·sin(B))
a = b·sin(A)/sin(B)
If the longest given side is not opposite the largest given angle, there may be two solutions.
_____
9) B = arcsin(8/12.5·sin(87°)) = 39.7°
10) missing a side or angle; insufficient information
11) f = (5 in)·sin(70.4°)/sin(13.6°) = 20.0 in
12) p = (22 m)·sin(59°)/sin(180°-59°-24°) = 19.0 m
Tony's Tires has shown growth over the last month that follows the
equation Sales = 4(Day of the month) +16. On what day of the month will
Tony's Tires double its first day sales?
Answers
Answer:
Step-by-step explanation:
The sales will double on the 6th day of the month
The equation sales for last month = 4(day of the month) + 16
let
x = day of the month
The day of the month could be 1, 2, 3, 4, 5, 6, 7, 8...…31. The numbers represents the first, second, third ,...… thirty first day.
Sales = 4x + 16
From the equation, on the first day his sales will be :
sales = 4(1) + 16 = 20 units
The double of 20 units is 40 units. Therefore, the day of the month which the sales will double can be calculated below
40 = 4x + 16
40 - 16 = 4x
4x = 24
x = 24 / 4
x = 6
it will double on the 6th day.
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Suppose f is a linear function such that f(4)= 8 and f(9)= 1. Find the equation for f.
Answers
A city council wants to know if residents would like a dog park . They sent a survey to every household in the city . The results of those who responded are shown in the table below . What is the experimental probability that a household has 2 or more dogs ?
Answers
Answer:
probability= event / sample space
= 129/860
=3/20
=0.15(15%)
If a student were going to write about their favorite food, they would want to include sensory language that focuses on. help please
Answers
Answer:
Here are the answers
Step-by-step explanation:
1. taste and smell
2. they allow the reader to feel as if he or she is in the story
3. touch
4. to make the writing more interesting and vivid, to provide greater detail to a narrative
Language Arts 6 B Unit 7 Lesson 13
Students would want to include sensory language which describes in the solution part that focuses on writing about their favorite food.
What is sensory language?Sensory Language is a word or words used to evoke mental imagery and help the reader visualize the tale or poetry. Imagery is a literary method that appeals to the reader's senses, whereas Sensory Language is a writing style and how writers utilize words to generate images for the readers.
When writing about their favorite food, a student might want to include sensory language that focuses on how the food looks, smells, tastes, feels, and sounds. This can help to paint a vivid picture for the reader and make the experience of reading about the food more immersive.
For example, if the student's favorite food is pizza, they might describe the golden, crispy crust; the savory, spicy tomato sauce; the gooey, melted cheese; the spicy sausage and bell peppers; and the satisfying crunch that it makes when they take a bite. They might also describe the way the warm, comforting aroma of the pizza fills the room as it cooks, or the way the different textures and flavors come together in each bite to create a satisfying and delicious meal. By using descriptive language that focuses on the senses, the student can help the reader to better understand and share in their love of the food.
Learn more about sensory language here:
https://brainly.com/question/28761616
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Melissa's mother bought . pounds of strawberries to make strawberry
smoothies. She estimates that she will need of a pound of strawberries for
each smoothie. How many smoothies can she make with the strawberries she
bought?
Answers
Answer:
depends on the ammount
Step-by-step explanation:
1) How many ink cartridges can you buy with 77 dollars if one cartridge costs 11 dollars ?
Answers
11x7=77
If m= 3 in the equation 2m=4-n, find the value of n.
Answers
Answer:
-2
Step-by-step explanation:
explanation: since m=3 replace m with 3 to multiply it with 2. 2(3)=6 so the equation now is 6=4-n. Subtract 4 on both sides and get 2=-n which would be n=-2.
(-1) + 1 = 0 is which inverse
Answers
Answer:
Heya mate....
Step-by-step explanation:
This is ur answer....
--> ADDITIVE INVERSE!Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. The properties of additive inverse are given below, based on negation of the original number. For example, x is the original number, then its additive inverse is -x.
Hope it helps you,
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Solve for x
I don’t have much time pls help. Round to the nearest hundredth
Answers
x=31*tan37
x=23.36
Which is proportional
Answers
Answer:
B
Step-by-step explanation:
It goes up the same amount ($0.75) for every bar you get.
find m<1 in the rhombus below
Answers
Answer:
[tex] m \angle \: 1 = 120 \degree[/tex]
Step-by-step explanation:
Given figure is of a rhombus.
Measures of the opposite angles of a rhombus are equal.
Therefore,
[tex]m \angle \: 1 = 120 \degree[/tex]
Factorise the following.
Answers
Answer:
This is your answer
Measure of the missing angle?
Answers
Answer:
x=31°
Step-by-step explanation:
2x-7+x+4 = 3x-3
90+3 = 3x
93 = 3x
x = 93/3
x = 31°