Often, frequency distributions are reported using unequal class widths because the frequencies of some groups would otherwise be small or very large. Consider the following​ data, which represent the daytime household temperature the thermostat is set to when someone is home for a random sample of households. Determine the class​ midpoint, if​ necessary, for each class and approximate the mean and standard deviation temperature.
Temp Frequency Class Midpoint
61-64 34 63
65-67 68 66.5
68-69 196 69
70 191 70.5
71-72 122 72
73-76 81 75
77-80 52 79
The sample standard deviation is _____degrees°F.

Answers

Answer 1

Answer:

The sample standard deviation is 13.22°F

Step-by-step explanation:

Given - Often, frequency distributions are reported using unequal

            class widths because the frequencies of some groups would

            otherwise be small or very large. Consider the following​ data,

            which represent the daytime household temperature the

            thermostat is set to when someone is home for a random sample

            of households. Determine the class​ midpoint, if​ necessary, for

             each class and approximate the mean and standard deviation

             temperature.

Temp                    Frequency                        Class Midpoint

61-64                         34                                         63

65-67                         68                                         66.5

68-69                         196                                        69

70                              191                                         70.5

71-72                         122                                         72

73-76                          81                                           75

77-80                          52                                           79

To find - The sample standard deviation is _____degrees°F.

Proof -

Temp         Frequency(f)            Midpoint(m)           m×f        ( m - 70.73 )²×f

61-64                34                            63                   2142          2031.6

65-67                68                            66.5                4522           1216.7

68-69               196                            69                  13524          586.6

70                     191                           70.5               13465.5        10.1

71-72                122                           72                   8784             196.8

73-76                  81                            75                   6075             2224.4

77-80                  52                            79                    4108            3556.4

                   ∑f = 744                                    ∑m×f = 52620.5     ∑ = 9822.6

So, Mean = [tex]\frac{52620.5}{744}[/tex] = 70.73

Sample standard deviation = [tex]\frac{9822.6}{744 - 1} = \frac{9822.6}{743}[/tex] = 13.22

∴ we get

The sample standard deviation is 13.22°F


Related Questions

The width of the wall is X +2 feet in the diagram if the perimeter of the wall is 6X +10 feet what is the length of the wall

Answers

Answer:

Hope this will help you. Here you have to use the formula P = 2(l+b)

2. Identify the relationship between the angles
given, then write and solve the equation to find
the value for the variable “x”.

Answers

Answer:

x is 21. dccxpxpdpdpdpdp

Answer:

Mutual

Step-by-step explanation:

33° +2x-15 =90

2x =90+15-33

2x=72

X=36

Miguel ran 15 yards. What distance is that in feet? HELPPPP

Answers

Answer: 45 feet 1 yard= 3 feet so 3 feet times 15 is 45 feet

Step-by-step explanation:

Answer:

45 ft

Step-by-step explanation:

1 yd = 3 ft

15 yd = 3(15) ft

15 yd = 45 ft

3/5x2/3 Help pls thank you

Answers

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5} *\frac{2}{3}\\=\frac{3*2}{5*3}[/tex]

The 3 in the numerator and the 3 in the denominator cancel out

[tex]= \frac{2}{5}[/tex]

I hope this helps!

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

No solutions.

Step-by-step explanation:

No solutions because these two lines are parallel.

You can tell by the slopes. Both slopes are equal -3.

The -2 and [tex]\frac{5}{8}[/tex] vertically shift the lines.

Help please I’m begging u

Answers

Answer:

Step-by-step explanation:

if ∠1=∠2

2x+12=3x+3

3x-2x=12-3

x=9

∠1=2×+12=30°

∠2=30°

∠VXW=30+30=60°

The sun of the bases of a parallel trapezoid is 38.5 feet. What would be the height of the trapezoid if the area is 269.5 square feet?

Answers

Answer:

14 or the other possible answer could be 7 if you have any of those answers I hope I helped i'm really sorry if you were waiting also good spring break. :)

Step-by-step explanation:

Look at the picture.
Thank u!

Answers

Answer:

I'm pretty sure its 16/30 = 8/15

Step-by-step explanation:

I don't know what simplify expressions means, I do know how to convert decimals into fractions and multiply fractions so.

The two figures shown are congruent. Which statement is true?



One figure is a translation image of the other.

One figure is a rotation image of the other.

Neither figure is a translation or rotation image of the other.

Answers

9514 1404 393

Answer:

  (b) One figure is a rotation image of the other

Step-by-step explanation:

The axis of symmetry is horizontal for the left figure, and vertical for the right figure. The right figure has been rotated 90° CW from the left figure.

Which is greater 27 or 72

Answers

Answer:

72??? For greater wise? Then yeah, 72.

Step-by-step explanation:

Answer:

there both equal if you add 2 and 7 equals 9

if you had 7 and 2 equals 9

Step-by-step explanation:

Help I would appreciate it

Answers

Answer:

it is option C

hope it helps

97 And 83

PLZZZ HELP ME I DON'T GET THISq

Answers

Answer:

Step-by-step explanation:

To distribute means to multiply everything outside the parenthesis with everything inside the parenthesis, so in this case 7x8 then 7(x) then 7x2 so that is equal to 56 + 7x + 14, so combine the 56+14 so we get 7x + 70.  I hope '7' is part of the problem and not the question number

Answer:

7x + 70

Step-by-step explanation:

As implied in the question, when you use the distributive property you need to distribute the factor outside the parenthesis to the ones inside the parenthesis.

When we look at 7(8+x+2)

You need to multiply all the factors inside the parenthesis by the 7 outside the parenthesis.

to break it down, do

7*8 = 56

7*x = 7x

7*2 = 14

From here, just add 56+14 to get 70 and then write out your answer as 7x + 70.

POV: you procrasiant a lot and dont pay attention on online school and ur failing ur classes, so now ur on brainly, just me?

also someone pls answer my other question will make brainliest!

Answers

Answer:

its true i cant pay attention in class cuz its boring but im

not failing it thank god

Answer:

sameeee but im currently not failing, lets hope it stays like that ;-;

Step-by-step explanation:

im smart

If you know the diameter of a given circle is 12, what is the area of the circle?

Answers

Answer:

The area is 113.1

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!!

Please help me math inequality grade 8

Answers

Answer: x > 2/3

Step-by-step explanation:

-1 - x/2 < x

Simplify:

-1/2x + 1 < x

Subtract x from both sides:

-1/2x + 1 - x < x - x

-3/2x + 1 < 0

Subtract 1 from both sides:

-3/2x + 1 - 1 < 0 - 1

-3/2x < -1

Multiply both sides by 2/(-3):

2/(-3) (-3/2) < 2/(-3) (-1)

x > 2/3

PLEASE ANSWER QUESTION

Answers

Answer:

1.) y=-2x+4

2.) y=1x-1

Step-by-step explanation yw

A university class has 29 students: 14 are accounting majors, 9 are business majors, and 6 are history majors. The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that the first student selected is an accounting major and the second student is a history major

Answers

Answer:

0.1034 = 10.34% probability that the first student selected is an accounting major and the second student is a history major

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

14 account majors from a set of 29 students.

Then, 6 history majors from a set of 29 - 1 = 28 students.

So

[tex]p = \frac{14}{29}*\frac{6}{28} = \frac{14*6}{29*28} = 0.1034[/tex]

0.1034 = 10.34% probability that the first student selected is an accounting major and the second student is a history major

A rectangular poster is 27 inches wide and 42 inches long. Which is the best estimate for the are of the poster in square inches?

Answers

Answer: hi how are you i

Answer:

30 inches wide by 40 inches long

Step-by-step explanation:

27 inches rounds up to 30 inches and 42 inches rounds down to 40 inches

4. A map has a scale factor of 1 cm = 15 miles
a. What is the distance (real life) if two cities are 2.5 cm apart on the map?

can anyone help please ?​

Answers

37.5 cm
Cause in 2 cm you get 30 miles and then you add 7.5 so 37.5cm

Observa la siguiente tabla que muestra los precios de un libro de cuentos y sus
respectivos descuentos en cuatro librerías.
Libreria

Answers

Answer:

No conozco este pero puedo ayudarte con otros

Step-by-step explanation:

Based on the table given, the bookstore that discounts more pesos from the original price is Leer es saber.

Which bookstore has the highest discount?

Discount from El cuentacuentos:

= 100 x 20%

= $20

Discount from Leer es saber:

= 125 x 25%

= $31.25

Discount from El librote:

= 80 x 5%

= $4.00

Discount from Imagina:

= 90 x 10%

= $9

The highest is therefore Leer es saber.

The rest of the question is:

Qué librería descuenta más pesos del precio original?

Find out more on discounts at https://brainly.com/question/1548141.

#SPJ6

Rosie bought 1 2/5 pounds of cantaloupe. She also bought watermelons that were 3 1/3 times the weight of the cantaloupes. How much did the watermelons weigh?

Answers

Answer:

4 2/3 pounds of watermelon.

--

I hope this helped you!

AI Prove that:
1-cOS A
V1+cos A
cosec A-cot A​

Answers

Answer:

(1-cosA)/(1+cosA)

=(1-cosA)/(1+cosA) ×(1-cosA)/(1-cosA)

=(1-cosA)^2 /(1-cos^2A)

=(1-cosA)^2 / (sin^2A)

=(1/sinA - cosA/sinA )^2

=cosecA - cotA)^2

Hope it helps

Have a great Day ; )

A college student takes the same number of credits each semester. She had 12 credits when she started, and after 6
semesters, she had 96 credits.
Which of these expresses the rate at which she is earning credits?

Answers

Answer:

x = 14

Step-by-step explanation:

Credits = 12  Semesters = 6   Total Credits = 96

6x = 96 - 12

6x = 84

Divide 6x = 84 by 6.

x = 14

[tex]\frac{96 credits-12 credits}{6 semesters} =\frac{84 credits}{6 credits} = \frac{14 credits}{1 semester}[/tex]

Dexter deposited 6,300 into a saving account that earns 2.60% simple interest per year. How much interest will she earn in 4 years

Answers

Answer:

2

Step-by-step explanation:

A survey found that 73% of people use streaming services, of those who stream, 28% report that they download
movies,
Find the probability that a randomly selected person uses streaming services and downloads movies,
0.20
0.28
0.38
2.61

Answers

Answer:

0.20

Step-by-step explanation:

What is the solution to 4x+63 ≤ 18?​

Answers

Answer:

[tex] - \frac{45}{4} [/tex]

the answer is x ≤ -45/4

Drag each tile to the correct box. Ross has a box of movies in four genres: romance, comedy, drama, and science fiction. The table gives the probability of picking a movie of each genre. Movie Genre Probability romance 0.38 comedy 0.1 science fiction 0.22 drama 0.3 As part of an experiment, Ross picks a movie at random and then replaces it. He repeats the process 200 times. Place the following events in order from the event with the lowest predicted frequency to the event with the highest predicted frequency. picking a romantic movie picking a comedy movie picking a science fiction movie picking a dramatic movie , , ,

Answers

Answer:

0.1

0.3

0.22

0.38

Step-by-step explanation:

Answer:

1ST BOX Picking a Comedy movie

2ND BOX picking a science  fiction movie

3RD BOX picking a dramatic movie

LAST BOX Picking a romantic movie

Step-by-step explanation:

I took the test

15n+24-4(n-3)+6-2n=105

Answers

Answer:

n = 7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Question: 15n+24-4(n-3)+6-2n=105

Answer:  3 • (3n + 14)

Explanation:

STEP 1: Restate

Equation at the end of step 1

 (15n + 24) -  4 • (n - 3)) +  6) -  2n

STEP 2: Pulling out like terms

STEP 3: Pull out like factors :

9n + 42  =   3 • (3n + 14)

Final result :

 3 • (3n + 14)

Hope this helps~

Ed walsh wanted to purchase a used car. He obtained a 6,700 installment loan at an APR of 6%. He must repay the loan in 2 years. Find the monthly payment, the total amount repaid, and the finance charge.

Answers

Answer:

$519.43

Step-by-step explanation:

bc it is

Can someone please help!!

Answers

Answer:

the second to last one!!!

Step-by-step explanation:

hope this helps

Other Questions
The price of a 9-minute phone call is $1.35. What is the price of an 11-minute phone call? Solve for x. Round to the nearest hundredth. HELLLLLLLLLPPPPPP 35 points for who gets it right In what order were the following energy sourcesdiscovered by humans Find the area of this triangle. Round to the nearest tenth. 9.5 yd 23 ydPlease help! A train travels a distance of 1,200 kilometers in 20 hours. The speed is _________ per __________. A baseball field has four bases that form the shape of a quadrilateral. If someone invented a new game similar to baseball that had four extra bases in the field, what type of polygon would the bases form? A. pentagon B. octagon C. hexagon D. decagon Which completes the progress of events?Surrender of Italy -> Germany surrenders -> Dropping of atomic bomb> _____A. world war 1B. The Russian revolution C. World war 2D. The cold war If 42,800 dollars is invested at an interest rate of 5 percent per year, find the value of the investment at theend of 5 years for the following compounding methods. What is the Annual $ Semiannual $ Monthly $ Daily $ Continuously $ The majority of the population of the Mughal Empire followedA. ChristianityB. HinduismC. SikhismD. Islam Estimate 201 to the nearest tenth. The answer to this problem PLEASE HELP ME WITH THIS ONE A left front tire blows out.Unless you control the vehicle, what will probably happen? Circumference = 69.1yd I NEED HELPThe average kinetic energy of the particles of two pieces of iron at the same temperature and mass would be __________.Question 1 options:DifferentThe sameNot equivilentWith in 500 degrees of eachother the area of a circle is 49sm what is the radius 20 points pls be fr ty See image for details on question What does the interaction between Thetis and Achilles reveal about the relationship between Achilles and Patroclus in "How the Death of Patroclus Roused Achilles" from "Stories from the Iliad"?Question 4 options:Patroclus was more important to Achilles than Achilles' own life or his mother's concern for his life.Patroclus was more important to Achilles than his mother is, and he hates how she interfered in their friendship.Achilles' friendship with Patroclus was important, but Achilles values his mother's love for him above all else.Achilles is unsure how he feels about Patroclus until discussing Patroclus's death with his mother.