Find the mode, median, mean and range for this set of data.
Number of Hours Slept: 8.5, 7,6.75,5.75, 8.75,6.25,7,7.5, 4.25

Answers

Answer 1
The Mode of the set of data is 8.75The Median for the set of data is 7The Mean for the set of data is 6.86The Range of the set is 4.5

What is Central Tendency?

Central Tendency is the statistical measure that can be used to represent all the distribution or a dataset using a single value. The most common measures of central tendency are the mode, median, and mean.

How to determine this

Mode is the value that has the highest frequency in a given data set.

So,

8.75 the highest frequency in the data set

Mode = 8.75

Median is the middle of a sorted list of numbers when arranged in ascending order.

So,

4.25, 5.75, 6.25, 6.75, 7, 7, 7.5, 8.5, 8.75 in ascending order

Median = 7

Mean is the average or the most common value in a given set of values.

Mean = 8.5 + 7 + 6.75 + 5.75 + 8.75 + 6.25 + 7 + 7.5 + 4.25/9

Mean = 61.75/9

Mean = 6.8611

Mean = 6.86 to 2 decimal place

Range is the difference between the highest value and lowest values.

Range = Maximum value - Minimum value

Range = 8.75 - 4.25

Range = 4.5

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Related Questions

can i please have help i dont know the answer to this one

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Answer:

B

Step-by-step explanation:

PLEASE HELP I DON'T KNOW THE ANSWER!!!

Answers

i believe it would be the first one and the third one. This following the rules of these

In a hurry
A wire is suspended between two poles. Function f, defined by the given table, represents the elevation, in feet, of a wire at a point x feet from the first pole. x 0 2 4 6 8 10 12 14 16 f(x) 28 26.25 25 24.25 24 24.25 25 26.25 28 Which statement is supported by the table? A. The two poles are 8 feet apart. B. At its lowest point, the wire is 24 feet above the ground. C. At its lowest point, the wire is 8 feet above the ground. D. The two poles are 24 feet apart.

Answers

Answer:

B. At its lowest point, the wire is 24 feet above the ground

Step-by-step explanation:

What is 2x + 5y - 2x?​

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Answer:

5

Step-by-step explanation:

sorry if inorrect

Liam bought a sandwich for $4.75, a bag of chips for $2.30, and a drink for $1.15. The tax was $0.65. He gave the cashier $10.00. How much change should Liam have receive

Answers

answer:
$1.15

step-by-step explanation:
4.75 + 2.30 + 1.15 + 0.65
8.85
10.00 - 8.85
1.15

A 16 ft ladder leans against a wall so that the base of the ladder is 5 ft away from the base of the wall. How far up the wall does the ladder reach.

Answers

Answer:

The ladder would reach 15.2 feet up

find the area of the trapezoid?​

Answers

Answer:

46,746 mm²

Step-by-step explanation:

½×(210+84)×318

= 46,746 mm²

Jenna multiplied four numbers together and then divided by -2. The result was a positive value.

Which of the following statements MUST be true?

A) An odd number of factors were negative.
B) None of the factors were negative.
C) An even number of factors were negative.
D) All of the factors were negative.

Answers

Answer:

c

Step-by-step explanation:

8/2(2+2) I already know the answer, I just wanna know whether people think it's 16 or 1

Answers

Answer:

I think its 16

Step-by-step explanation:

Answer:

[tex] \frac{8}{2} (2 + 2) = 16[/tex]

what is the lcm of 3 and 4​

Answers

Answer:

12

Step-by-step explanation:

3 x 4 = 12

4 x 3 = 12

Mark as Brainliest

the answer to the lcm is 12

in me franklins algebra course, eight students recently took a test their grades were as followed: 35, 77, 80, 86, 87, 90, 94, 100

calculate the mean and median of this data set

Answers

Answer:

Mean= sum/no.

= 35+77+80+86+87+90+94+100 / 8

= 649/8

=81.125 was the mean

Median: the middle number

35, 77, 80, 86, 87, 90, 94, 100

Both are in the middle so: 86+87/2

=173/2

=86.5 as the median

Step-by-step explanation:

followed: 35, 77, 80, 86, 87, 90, 94, 100

calculate the mean and median of this data set

Jeffrey's recipe for oatmeal muffins calls for 2 3/4 cups of oatmeal and makes one dozen muffins. If he makes 2 dozen muffins for a club meeting and 1 1/2 dozen muffins for a family reunion, how much oatmeal will he use?

Answers

Answer:

                              5

Jeffrey will use 9  __ cups of oatmeal

                              8

Step-by-step explanation:

2.75 cups of oatmeal per 1 dozen

2.75 x 2 = 5.5

2.75 + 2.75(1/2) = 4.125

add

5.5 + 4.125 =

9.625 cups of oatmeal

              or

9 5/8 cup

PLEEEEASEEE HELP ASAP

In the diagram, the measures of ∠1 and ∠4 are 105°. The measures of ∠5 and ∠8 are 115°. Are lines c and d parallel

a p e x

Answers

Answer:

a

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

I just got done with this same quiz and i got a 100 .

Ayuda plis, no le entiendo ni mais :"

Answers

Answer:

Entiendo tu idioma, hablas español, ¿no? Me encantaría ayudarte hablo inglés y español

Step-by-step explanation:

-2/3m = 12 solve for m

Answers

Step-by-step explanation:

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow \dfrac{-2}{3m}=12[/tex]

use cross multiplication

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow -2=3m\times 12[/tex]

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow -2=6m[/tex]

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow m=\dfrac{-2}{6}[/tex]

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow{\underline{\boxed{\bf{ m=-\dfrac{1}{3}}}}}[/tex]

George is planning to attend a public university after he graduates from high school in 1.5 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $31,800. His family has promised to contribute $16,500 each year he is in school. What is the minimum amount of money George must contribute to his savings per month for the next 1.5 years to have enough money to pay for his first year of tuition?

a
$625
b
$900
c
$850
d
$775

Answers

c. 850
take the tuition total and subtract the amount his parents are contributing then divide by the amount of months (18)
please rank brainliest if you can:)!!!

A hospital recorded the weights, in ounces, of newborn babies for two weeks. The

results are listed below.

Weights of babies born during week one: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126

Weights of babies born during week two: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130

Which statement is true?

Answers

Answer:

The standard deviation for week two was about 3 ounces more than the standard deviation for week one

Step-by-step explanation:

Given

[tex]Week\ 1: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126[/tex]

[tex]Week\ 2: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130[/tex]

See attachment for options

Required

The true statement

Checking the standard deviation

For week 1

Calculate the mean:

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{128+ 105+ 80+ 82+ 96+ 98+ 87+ 100+ 112+ 126}{10}[/tex]

[tex]\bar x = \frac{1014}{10}[/tex]

[tex]\bar x_1 = 101.4[/tex]

Then standard deviation

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]

[tex]\sigma_1 = \sqrt{\frac{(128 - 101.4)^2 +............+ (126- 101.4)^2}{10}}[/tex]

[tex]\sigma_1 = \sqrt{\frac{2522.4}{10}}[/tex]

[tex]\sigma_1 = \sqrt{252.24[/tex]

[tex]\sigma_1 = 15.88[/tex]

For week 2, we have:

[tex]\bar x = \frac{75+ 85+ 90+ 97+ 89+ 105+ 110+ 127+ 129+ 130}{10}[/tex]

[tex]\bar x = \frac{1037}{10}[/tex]

[tex]\bar x_2 = 103.7[/tex]

Then standard deviation

[tex]\sigma_2 = \sqrt{\frac{(75 - 103.7)^2 +................+ (130- 103.7)^2}{10}}[/tex]

[tex]\sigma_2 = \sqrt{\frac{3538.1}{10}}[/tex]

[tex]\sigma_2 = \sqrt{353.81[/tex]

[tex]\sigma_2 = 18.81[/tex]

Compare the standard deviations

[tex]\sigma_1 = 15.88[/tex]

[tex]\sigma_2 = 18.81[/tex]

Calculate the difference:

[tex]d = \sigma_2 - \sigma_1[/tex]

[tex]d = 18.81 - 15.88[/tex]

[tex]d = 2.93[/tex]

[tex]d \approx 3[/tex]

This implies that option (b) is true

Please help!!!!!!!!!!

Answers

Answer:

true

Step-by-step explanation:

Answer:

I’m pretty sure it’s true. Hope this helps!

URGENT THIS IS FOR FINALS CAN SOMEONE PLZ SOLVE IT I will brain list​

Answers

Answer:

were is the line

Step-by-step explanation:

Answer:

1- y=2x-5

2- y=-1/6x-5

Hope this helps you!!

State the x- and y-intercepts of each equation
12x + 9y = 15

Answers

The x intercept : (5/4,0)

The y intercept : (0,5/3)

I hope this helps, have a great day!

i have a few math problems for anyone who’s good at it help please it’d be great .

Answers

Answer:

What do you need help with?

Help me plsssssssssssssssss

Answers

THE ANSWER TO X IS 14

1-3x+15
-3x=12/3=4
2-5x-45
+5=50/5=10
3-4+10=14

A chord consists of notes that sound good together. The C major chord starting at middle C has the following frequencies: C - 262 Hz E - 330 Hz G - 392 Hz determine the ratio of the frequency of E to C. Express the answer in a simple integer ratio. How many E waves will fit in the length of four C waves. a. 2 b. 3

Answers

Answer:

The frequency of note E is:

f(E) = 330 Hz

The frequency of note C is:

f(C) = 262 Hz

The ratio of the frequency of note E to the frequency of note C is just the quotient of these two frequencies:

r  = f(E)/f(C) = 330Hz/262Hz = 330/262 = 1.26

Now, we want to find how man E waves will fit in the length of four C waves.

Note that here the word "length" is used, so we need to work with the wavelengths, not with the frequencies.

For waves, we have the relationship:

v = f*λ

where:

v = velocity (in this case, velocity of the sound = 343 m/s)

f = frequency

λ = wavelength.

So, the length of a single E wave is:

λ(E) = (343 m/s)/(330 1/s) = 1.04 m

And the length of a single C note is:

λ(C) = (343 m/s)/(262 1/s) = 1.30 m

In four C waves, the length is:

4*λ(C) = 4*1.30m = 5.2m

The number of E waves that fit in the length of four C waves is equal to the quotient between the length of four C waves and one E wave:

N = (4*λ(C))/(λ(E) ) = (5.2 m)/(1.04m) = 5.14

So we can fit 5 E waves into four C waves.

Answer:

The ratio of the frequency of E to C can be found by dividing the frequency of E by the frequency of C:

330 Hz / 262 Hz ≈ 1.26

To express the answer in a simple integer ratio, we can divide both 330 Hz and 262 Hz by their greatest common factor, which is 2:

330 Hz / 2 = 165 Hz

262 Hz / 2 = 131 Hz

So the ratio of the frequency of E to C is:

165 Hz / 131 Hz = 15/12 ≈ 1.25

This ratio is approximately equal to 5/4

Therefore, the answer is (A) 5 to 4

The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for π. Round your answer to the nearest hundredth. A. 696.99 cm3 B. 133.97 cm3 C. 267.95 cm3 D. 334.94 cm3

Answers

Answer:

267.95cm^3

Step-by-step explanation:

S= 4πr^2

Surface area is 200.96

π= 3.142

200.96= 4×3.142×r^2

200.96= 12.57r^2

r^2= 200.96/12.57

= 15.99

= √15.99

r = 3.9

Volume= 4/3πr^3

= 4/3× 3.142×3.9^3

= 267.95 cm^3

Rocco has a weekly reading schedule, reading for 4.5 hours per day on some days and 3.5 hours per day on the other days. He reads a total of 25.5 hours in a seven-day week. On how many days does he read for 4.5 hours?

Answers

Answer:

x = days he reads for 4.5 hours = 1 day

y = days he reads for 3.5 hours = 6 days

Step-by-step explanation:

Let

x = days he reads for 4.5 hours

y = days he reads for 3.5 hours

x + y = 7 (1)

4.5x + 3.5y = 25.5 (2)

From (1)

x = 7 - y

Substitute x = 7 - y into (2)

4.5x + 3.5y = 25.5 (2)

4.5(7 - y) + 3.5y = 25.5

31.5 - 4.5y + 3.5y = 25.5

- 4.5y + 3.5y = 25.5 - 31.5

-y = -6

y = 6

Substitute y = 6 into (1)

x + y = 7 (1)

x + 6 = 7

x = 7 - 6

x = 1

x = days he reads for 4.5 hours = 1 day

y = days he reads for 3.5 hours = 6 days

If f(1)=3 and f(n)=3f(n-1) then find the value of f(6).

Answers

Answer:

(n-1)

Step-by-step explanation:

your school is having a fundraiser in order to pay for t-shirts. They need to raise $882.69. They have already collected $92.85 in donations. Their goal is to have $190 donated each week. How many weeks do they need to fundraise?

Answers

first, find how much money they need more by subtracting $882.69 by $92.85
= $786.84
then divide by $190
= 4.14
= 5
therefore they need to fundraise for 5 weeks

There is 5 weeks do they need to fundraise.

What is the inequality?

Inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.

Your school is having a fundraiser in order to pay for t-shirts.

They need to raise $882.69.

They have already collected $92.85 in donations.

Their goal is to have $190 donated each week.

Let, x be the number of weeks do they need to fundraise.

The number of weeks do they need to fundraise is given by;

[tex]\rm 92.85 +190x > 882.69\\\\190x > 882.69-92.85\\\\ 190x > 789.84\\\\x > \dfrac{789.84}{190}\\\\x > 4.15[/tex]

Hence, there is 5 weeks do they need to fundraise.

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Solve log2 x = log5 3+1 by graphing. round to the nearest tenth

Answers

Answer:

the answer is 3.2

Step-by-step explanation:

x≈3.2

EASY MATH PLEASE HELP!

Most dogs fail to become service dogs. In a recent training class, only 6 of the 15 dogs were certified as service dogs. What percent of dogs became certified service dogs?

Answers

Answer:

40 Percent

Step-by-step explanation:

find the value of 32½​

Answers

Answer:

65 will be the correct answer

Step-by-step explanation:

32 1/2 may be a percentage. as such it is equivalent to 32.5 % or. 0.325.

32.5 % of 10 would be 3.25.

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