The data below shows the scores of two groups of ten students on a math quiz and a science quiz.
Math: 72, 92, 88, 67, 54, 58, 64, 76, 65, 72
Science: 84, 78, 56, 89, 54, 68, 75, 78, 84, 60
In this scenario, variability is defined as the mean absolute deviation. Based on the data which statement is true?

O The median score was greater for math, but the variability was greater for science.
OThe median score was greater for science, but the variability was greater for math
OBoth the median score and variability of the math scores are less than that of the science scores.
OBoth the median score and variability of the math scores are greater than that of the science scores.​

Answers

Answer 1

Answer:

The median score was greater for science, but the range was greater for math.

Step-by-step explanation: I think I don’t now.

Answer 2

The statement "The median score was greater for math, but the variability was greater for science" is true

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Calculate the mean absolute deviation (MAD) for both sets of scores. The MAD measures the average distance of each score from the mean of the data set.

For the math scores, the mean is:

(72 + 92 + 88 + 67 + 54 + 58 + 64 + 76 + 65 + 72) / 10 = 70.8

To calculate the MAD for the math scores, we need to find the absolute deviation of each score from the mean.

The sum of these absolute deviations is:

1.2 + 21.2 + 17.2 + 3.8 + 16.8 + 12.8 + 6.8 + 5.2 + 5.8 + 1.2 = 91

To calculate the MAD for the science scores, we need to find the absolute deviation of each score from the mean, and then calculate the average of these absolute deviations.

The sum of these absolute deviations is:

10.4 + 4.4 + 17.6 + 15.4 + 19.6 + 5.6 + 1.4 + 4.4 + 10.4 + 13.6 = 103.4

The MAD for the science scores is:

103.4 / 10 = 10.34

Therefore, the statement "The median score was greater for math, but the variability was greater for science" is true

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Related Questions

Help me out with this question please I need help ✏️✏️

Answers

Answer:

Step-by-step explanation:

The measures of the angles are 2x, 5x, and 5x.

2x+5x+5x = 180°

12x = 180°

x = 15°

2x = 30°

5x = 75°

The ratio of the angles are 30:75:75

What are all the factors of 76

Answers

Answer:

1, 2, 4, 19, 38, 76

The perimeter of a rectangle is 32. The width is four less than the length. Find the length of the rectangle.

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Step-by-step explanation:

all the explanation is in the photo

anyone help? i have a question on my hw

Answers

0.5 and 0.9 are the answers

A, B, C and D form the vertices of a parallelogram
AD = 10.3cm, AB = 15.5cm and BAD = 63°
Find the area of the parallelogram. Round to 1 DP

The diagram is not drawn accurately.​

Answers

AB=8.7 cm. Work out the length of BC. ... 1. Adi. Diagram NOT accurately drawn. POR is a triangle. Angle Q = 90° ... Give your answer correct to 1 decimal place. ton o. Ady ... Ad. POR is a right-angled triangle. PR = 12 cm. OR = 4.5 cm. Angle PRO = 90°. ... AB= 7 cm. BC = 12 cm. Angle BAD= 65°. Calculate the length of AC.

The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P0 has doubled in 3 years, how long will it take to triple? (Round your answer to one decimal place.)

Answers

Answer:

4.75 years are required to triple the population

Step-by-step explanation:

As we know

[tex]\frac{dP}{dt} = P\\[/tex]

Integrating both the side with respect to t we get

[tex]ln P = kt + c_1\\P = e^{kt + c_1}\\P = Ce^{kt}[/tex]

At t = 0, P = P0

[tex]2 P_0 = P_0 * e ^{3k}\\2 = e ^{3k}\\ln 2 = 3k\\k = 0.231\\[/tex]

substituting K value in main equation, we get -

[tex]P = P_0 * e^{0.231 * t}\\3P_0 = P_0 * e^{0.231 * t}\\3 = e^{0.231 * t}\\ln 3 = 0.231 * t\\t = 4.75[/tex]

4.75 years are required to triple the population

Simplify (3x2-5x-6) - (5x2+4x+4)

Answers

Answer:

=−2x^2−9x−10

Step-by-step explanation:

would you like an explantion or are you good

Which pairs show equivalent expression

Answers

Hey blink!!!!!!! second one is your answer

Classify the following triangle as acute, obtuse, or right.
150
80%
O A. Obtuse
O B. Acute
O C. Right
O D. None of these

Answers

It’s an acute triangle because all 3 angles are less than 90 degrees.

3⁷×3-⁴ I need help asap!​

Answers

Hope it helps

Have a good day Ahead

Answer:

the answer will be 27

Step-by-step explanation:

I WILL MARK BRAINLIEST :) Determine which segment is shortest in the diagram.

Answers

Answer:

C.

Step-by-step explanation:

Answer:

C. Segment AC

Step-by-step explanation:

I am going to figure all the angles first. Triangles always add up to 180 degrees so I am going to use that.

50 + 49 = 99

180 - 99 = 81

<C = 81°

99 + 37 = 136

180 - 136 = 44

<A = 44°

The shortest segment is always going to be opposite the smallest angle. The smallest angle is 37°. Therefore, Segment AC is the shortest.

Simplify to create an equivalent expression. 6(3 + t) + (2t + 5) x 2

Answers

Step-by-step explanation:

28+10t is the simplest expression

A research group is interested in gauging perceptions about health club memberships among health club members. Specifically, they wish to determine the percentage of monthly paying members in the United States that believe health club memberships are not too expensive. They listed the members of the health club located nearby in alphabetical order and took every tenth member until they succeeded in contacting 150 members. What kind of sampling method have they used? Choose the correct answer below.
A. Cluster sampling
B. Multistage sampling
C. Stratified random sampling
D. Systematic sampling

Answers

Answer:

D. Systematic sampling

Step-by-step explanation:

Systematic sampling is a type of probability sampling method in which sample members of a large population are selected according to a random starting position and a constant, periodic interval. This interval, called the sample interval, is calculated by dividing the population size by the desired sample size.so correct option is D. Systematic sampling .

Help now plsssssssssssssssssssssss

Answers

Answer:

Your answer is 5009.2

Upvote it. Welcome

Answer:

5009,206

Step-by-step explanation:

Hope this helped!

Martha earns $15 per hour for babysitting. The parents always giver her a $5 tip.
What is the y-intercept in this situation?
Enter the correct answer in the box.
? Dollars

Answers

Answer:

y=15x+5

Step-by-step explanation:

The following data represent the number of eggs, in ten-thousands, which were sold by various grocery stores in the month of November. Construct a dot plot for the given data.

5 16 13 15 7 7 5 10
14 16 12 12 11 5 11 4

Answers

Answer:

See explanation and attached file

Step-by-step explanation:

A dot plot is a chart that is created using data points. It is one of the easiest ways of plotting the distribution of data and they make it a lot easier to see data. It is like a bar chart but instead of bars, you have dots.

It is created by counting the number of data that a particular variable has and drawing the corresponding number of dots above it.

See attached file

Can someone help me find the value of N in the triangle and round the answer to two decimal places

Answers

Answer:

n ≈ 8.54

Step-by-step explanation:

Reference angle = 30°

Opposite side = n

Adjacent side = 14.8

Apply TOA, which is:

Tan 30 = opp/adj

Tan 30 = n/14.8

Multiply both sides by 14.8

14.8×tan 30 = n

8.54478398 = n

n ≈ 8.54 units (to 2 dp)

Alicia says that 6 ÷ 2 + 5 is the same as 5 + 6 ÷ 2. Is Alicia correct or incorrect? Explain.

Answers

Answer:

alicia is right

Step-by-step explanation:

if u divide 6 by 2 that would be 3 and then add 5 = 8. If you do the same with the next equation it still = 8 bc pemdas so divide first

Answer:

She is correct.

Step-by-step explanation:

6 ÷ 2 + 5=

6 ÷ 2=3

3+5=8

5 + 6 ÷ 2=

6 ÷ 2=3

3+5=8

What is the measure of the angle

Protractor tool

Answers

Youve gotta actually measure it with a protractor

is 1.75 greater than 1.5​

Answers

Yea it is greater since 1.5 is 1.50 and 1.75 is larger than that!

Yes, the fraction 1.75 is greater than the 1.5.

What are fraction numbers?

In mathematics, a fraction is a numerical value that expresses a portion of a total. The term "whole" can refer to any number, a certain value, or an object. The fraction symbol is written as p/q. For instance, 1/4, 1/2, 3/4, and so forth.

Two whole numbers (the fraction terms) separated by a horizontal line are used to calculate the fractional numbers (the fraction line).

In this Question, the fraction is represented as a decimal number. Since

the number before the decimal is the same. Thus we will compare the value of the number that is after the decimal. here we can see 75 is greater than 50.

Therefore, It is true that the fraction 1.75 is larger than 1.5.

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I need help quick I can’t fail I need a good grade pls help

Answers

B I think I am unsure

Answer:

ok I will try and tell you

Show three ways to
quarter a circle.
OOO

Answers

Answer:

um i.....

dont know

Step-by-step explanation:

if a function f is defined such that f(x+3) = f (x) + f(3) show that f(-3) = -f(3)

Answers

Answer:

[tex]Solution,\\f(x+3)=f(x)+f(3).......(1)\\Put~x=0~in~eq^n~(1),\\f(0+3)=f(0)+f(3)\\or, f(3)=f(0)+f(3)\\or, f(0)=0.........(2)\\Now,\\Put~x=-3~in~eq^n(1),\\f(-3+3)=f(-3)+f(3)\\or, f(0)=f(-3)+f(3)\\From~eq^n(2),\\0 = f(-3)+f(3)\\or, f(-3)=-f(3)~proved[/tex]

How many sides does a regular polygon have if each exterior angle has a measure of 15° ?

Answers

Answer:

The answer is 24

calculate the total distance Mary runs in one week if she runs 7/8 mile a day

Answers

Answer:

1 3/4

Step-by-step explanation:

I did 7/8 times 7/1 (7 days as a fraction) = 1 6/8 then i simplified that to 1 3/4

Total distance Mary runs in one week if she runs 7/8 mile a day is,

⇒ 49 / 8 miles

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Mary runs 7/8 mile a day.

Since, We know that;

1 week = 7 days

Now, Total distance Mary runs in one week if she runs 7/8 mile a day is,

⇒ 7 x 7/8

⇒ 49 / 8 miles

Thus, Total distance Mary runs in one week if she runs 7/8 mile a day is,

⇒ 49 / 8 miles

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I need to know this please answer asap

Answers

Answer:

y=-1/2x+1

Step-by-step explanation:

habitantes de dos pequenas comunidades harán una obra de drenaje que
beneficia a todos. El costo de los materiales necesarios asciende a 360,000.00
Se decidió que las aportaciones sean proporcionales al numero de habitantes de
da comunidad. En la comunidad A hay 120 habitantes; en la comunidad B 240
y en la comunidad C 360

¿Con cuánto debe cooperar cada comunidad?

¿Cuál es la aportación por persona en las tres comunidades?​

Answers

Answer:

La Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000. Cada Comunidad aportará $500 por persona.

Step-by-step explanation:

Dado que la obra de drenaje tiene un costo de materiales de $360,000, y que dicho costo será soportado por cada comunidad en proporción a sus habitantes, sabiendo que en la comunidad A hay 120 habitantes; en la comunidad B 240 y en la comunidad C 360, para determinar con cuánto dinero debe cooperar cada una se debe realizar el siguiente cálculo:

120 + 240 + 360 = 720

C = 1/2 x 360,000 = 180,000

B = 1/3 x 360,000 = 120,000

A = 1/6 x 360,000 = 60,000

Así, la Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000.

A su vez, la aportación por persona en las tres comunidades surge del siguiente cálculo:

360,000 / 720 = 500

Así, cada comunidad aportará $500 por persona.

Choose Yes or No to tell if the number 30 will make each equation true.

270 ÷ □ = 9

Choose...



1,200 ÷ □ = 400

Choose...



9,000 ÷ □ = 300

Choose...



600 ÷ □ = 20

Choose...

(will mark brainiest and 5 points pls answer its for a test due in 20 min).

Answers

Answer:

1. Yes

2. No

3. yes

4. yes

270 ➗ 30 = 9 } True

1,200 ➗ 30 = 40 } False

9,000 ➗ 30 = 300 } False

600 ➗ 30 = 20 } False

Hope This Helps✨

Simply the expression 50 - 2 (6 + 1)

Answers

Answer:

36

Step-by-step explanation:

Answer: 36

Step-by-step explanation: Good luck!!

50 - 2(6+1)

50 - 2(7)

50 - 14

36

Verizon Wireless charges
$0.09 for every 5 text
messages sent. How much
is your bill if you send 75
texts?
Make this into a equation

Answers

(75 divided by 5) x 0.09 = 1.35
(75 / 5) x 0.09 = 1.35
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