Twenty students scored the following marks in a history test: 5, 2, 5, 3, 1, 6, 2, 2, 3, 4, 2, 1, 2, 2, 4, 3, 2, 2, 2, 3. What is the mode of distribution. What is the median and mean

Answers

Answer 1

Answers:

Mode = 2Median = 2Mean = 2.8

===================================================

Work Shown:

Original set = {5, 2, 5, 3, 1, 6, 2, 2, 3, 4, 2, 1, 2, 2, 4, 3, 2, 2, 2, 3}

Sorted set = {1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6}

Do not toss out the duplicates.

The most occurring or most frequent value is 2, so this is the mode.

---------------------------

To find the median, we divide the n = 20 item set into two parts

n/2 = 10

So we'll count to the 10th slot to get to the number "2", which is the second to last "2" in the sorted list shown above.

The number just after this is also "2" in the 11th slot. Average these two values to get (2+2)/2 = 4/2 = 2

The median is 2.

----------------------------

To find the mean, we need to first add up all the data values.

1+1+2+2+2+2+2+2+2+2+2+3+3+3+3+4+4+5+5+6 = 56

Then divide this over n = 20 to get 56/20 = 2.8

The mean is 2.8

The mean being larger than the median tells us we have an outlier that is larger than the main cluster. Those outliers are 5 and 6.


Related Questions

Can someone help me??

Answers

Answer:

it would be 60

Step-by-step explanation:

the angle b would be 40 since the one next to it is 140 and then 80 and 60 make 120 and then 180 - 120 is 60 for your answer

Help please.............................................................

Answers

Answer:

the third one

Step-by-step explanation:

The line passes through the point

-The slope of the line is 4

- y int is -6

A linear function has a slope of 8/3 and passes through the point (0,5). What is the equation of the line?

Answers

This problem already gave us the slope and y-intercept, so all that's left to do is plug those two values into slope-intercept form.

Slope-Intercept Form: y = mx + b

---m is the slope

---b is the y-intercept

y = 8/3x + 5

Hope this helps!! :)

y = 8/3x + 5

hope this helps !! :)

find the square root of 20 upon 121

Answers

Answer:

heres the square root of 20 4.47214 but i dont know what else to do for this answer. (sorry)

Step-by-step explanation:

√20 = √(4 * 5) = √4 * √5 = 2√5 ≈ 4.47214

easy one - giving brainly if correct!​

Answers

Answer:

option 4 is the right answer

Answer:

The last option is right

[tex]\sf x-5=16[/tex]

Answers

Answer:

x=21

Step-by-step explanation:

[tex]x-5=16[/tex]

[tex]x-5+5=16+5[/tex] (Add 5 to bth sides)

[tex]x=21[/tex]

A cube has six sides that are numbered 1 to 6. The sides numbered 1, 3, and 5 are yellow, and the sides numbered 2, 4,
and 6 are orange. What is the probability of rolling the cube and getting a yellow and even number?

Answers

Answer: C) 0

Explanation:

The yellow sides are 1,3,5 which are odd numbers. So it's impossible to get an even number that's a yellow side. That's why 0 is the answer here. A probability of zero represents cases when the event can never happen.

helppppppppppppppppppmeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

I divided 56 by 4 to see how much per CD Brad payed. This got me $14. $42 divided by $14 is $3, so he can buy 3 CDs.

Answer:

3

Step-by-step explanation:

For each CD:

$56÷4=$14

Therefore for $42,

$42÷$14=3

Brad can purchase 3 CD'S.

Hope this helps!

Hope this helps!please mark BRAINLIEST.

express each of the following rational as adecimal 3/25​

Answers

Answer:

3/25 as a decimal is 0.12

Step-by-step explanation:

If you plotted the points in the table and connected
them in order with a smooth curve, what shape
would it be?
a line
a U shape
a semicircle

Answers

Answer:

U shaped.

Step-by-step explanation:

When x = 0 , f(x) = 6

when x =1 yf(x) = 0

when x = 2 f(x) = -2

x = 3 f(x) = 0

x = 4 f(x) = 6.

So the graphs falls from the left and rises to the right in the form of a U.

You can draw a rough graph to confirm this.

Answer:

u Shaped

Step-by-step explanation:

A car dealership increased the price of a certain car by 11%. The original price was $45,400.

Answers

Answer:

$49,527.27273 or $49,527

Step-by-step explanation:

45,000/11

$4,127.272727 or $4,127

$45,400 + $4,127

$49,527

Kristal was writing 5,060 in scientific notation. She said that it was 5.6 x 10^3 do you agree or disagree

Answers

Answer:

I disagree

Step-by-step explanation:

It is 5.06 x 10^3

The height of a triangle is 4 cm more than twice its base. The area of the triangle is 168 cm^2. What is the length of the base of the triangle?

a) 12 cm
b) 6 cm
c) 7 cm
d) 14 cm

Answers

Answer:

12cm

Step-by-step explanation:

h = 2b + 4

Area = 168 cm²

b = ?

Area = b*h / 2

168 = b (2b + 4) / 2

168 = 2b² + 4b/ 2

168 = b² + 2b

b² + 2b - 168 = 0

(b + 14) (b - 12) = 0

b = -14

b = 12

The base of a triangle cannot be -ve. So b = 12cm

If a student has a monthly income of about $250, how much do you predict he might spend on clothing in a month?

Answers

Answer: depends if there like someone like me 550 but if there responable then probaly 50-80

Step-by-step explanation:

Solve algebraically for all values of x:
8x^4-70x^3-18x^2

Answers

Answer:

x= 0

x= 9

x= -1/4

Step-by-step explanation:

(look at the pic I posted)

What should be done first to evaluate the expression?9 - 4 ÷ 5 + 3 × 6

Answers

ANSWER:

24

STEP- BY-STEP-EXPLANATION:

•Group into bodmas

•9-4=5(5+3×6)

5÷5+3×6

1+3×6

4×6=24

Find the missing length to the nearest tenth. Look at the shape.

Answers

Use the Pythagorean theorem:
A^2+b^2=c^2

16+64=c^2
80=c^2
c= sqrt80
=8.94 approx

Answer: [tex]4\sqrt{5}[/tex]/9.0

Step-by-step explanation:

Simple way: Pythagorean Theorem

[tex]a^{2} +b^{2} =c^{2}[/tex]

C being hypotenuse. A and B are bases that are interchangeable.

In this question, you are missing the hypotenuse.

a= 8, b=4 c=?

[tex]8^{2}+4^{2}=c^{2}[/tex]

[tex]64+16=c^{2}[/tex]

To get rid of [tex]c^{2}[/tex]. Square both sides.

[tex]\sqrt{64+16} =\sqrt{c^{2} }[/tex]

[tex]\sqrt{80}=c[/tex]

Simplify [tex]\sqrt{80}[/tex]

[tex]\sqrt{4*4*5} =4\sqrt{5}[/tex]

or 9.0

I need help pleaseeeee

Answers

Answer:

b

Step-by-step explanation:

5 5/16

Answer:

5 and 5/16

Step-by-step explanation:

The ratio of men to women working for a company is 6 to 5 . If there are 65 women working for the company, what is the total number of employees?

Answers

Step-by-step explanation:

[tex]\frac{men}{women} =\frac{6}{5}[/tex]

If there are 5 women = 6 men

If there are 5(13) women = 6(13) men

If there are 65 women = 78 men

So there are 65 + 78 = 143 employees.

please give me a brainliest answer

Solve for X Please show your work.
(x+3)/(x^2-9)=(2x+7)/(x^2+2x-15)

Thank you

Answers

The answer is X=-2, explanation in the picture.

One grain of this sand approximately weighs 7 x 10^-5 g. How many grains of sand are there in 6300 kg of sand ? Give your answer in standard form

Answers

Answer:

90 000 000 000 Grains

Step-by-step explanation:

one grain equal approximately 0.00007 grams.

convert 6300 kg into grams (multiply by 1000) and that equals 6 300 000g.

divide that by the weight of a single grain and you get the number of grains in that weight. So 6300000/0.00007=90 000 000 000 grains.

The number of grains of sand are there in 6300 kg of sand is 90,000,000.

What is scientific notation?

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.56\times10^7[/tex].

Given that, one grain of this sand approximately weighs [tex]7\times10^{-5}[/tex] g.

6300 kg of sand

Number of grains = [tex]\frac{6300}{7\times10^{-5}}[/tex]

= [tex]900\times10^5[/tex]

= 90,000,000

Therefore, the number of grains of sand are there in 6300 kg of sand is 90,000,000.

To learn more about the Scientific notation visit:

https://brainly.com/question/18073768.

#SPJ2

HELP PLSSS THIS IS HARD SOMEONEEE

Answers

Answer:

2 option

Step-by-step explanation:

mark me as brainliest

Answer:

Oh Im so Sorry But U Can Do It

Peter has 4 more candies than Jude. The two have a total of 30 candies. How many candies does Peter have? How many candies does Jude have?
( Using Linear Systems of Equation Substitution/ Elimination)

Answers

Answer:

jude:13 peter:17

Step-by-step explanation:

x is jude

x+x+4=30

2x+4=30

2x=26

x=13

finding peter's amount of candy:

13+4=17

Jude has 13 candies

Can someone help me with this thank you

Answers

Answer:

4b

Step-by-step explanation:

when u add you don't add the exponents of the variable.

when you multiy you add the exponents and put the variable. it would be 4b^4 if you were multiplying but ur adding

Lisa baked d cookies. Her family ate 20 of them. Using d, write an expression for the number of cookies that remained.

Answers

Answer:

d - 20 = r

r = remaining amount

Answer:

l=d-20

Step-by-step explanation:

use l for leftover cookies.

l=d-20

Hope this helps!

| 4x-13 | = 5x+4
Solve

Answers

Answer:

x = 1

Step-by-step explanation:

The absolute value always gives a positive value. However, the expression inside can be positive or negative , so

4x - 13 = 5x + 4 ( subtract 4x from both sides )

- 13 = x + 4 ( subtract 4 from both sides )

- 17 = x

OR

- (4x - 13) = 5x + 4 , simplify left side

- 4x + 13 = 5x + 4 ( subtract 5x from both sides )

- 9x + 13 = 4 ( subtract 13 from both sides )

- 9x = - 9 ( divide both sides by - 9 )

x = 1

As a check

Substitute these values into the equation and if both sides are equal then they are solutions.

x = - 17

left side = | 4(- 17) - 13 | = | - 68 - 13 | = | - 81 | = 81

right side = 5(- 17) + 4 = - 85 + 4 = - 81 ≠ 81

Then x = - 17 is an extraneous solution

x = 1

left side = | 4(1) - 13 | = | 4 - 13 | = | - 9 | = 9

right side = 5(1) + 4 = 5 + 4 = 9

Then solution is x = 1

Which is greater 1.44 or 1.2544

Answers

Answer:

1.44

Step-by-step explanation:

Answer:

1.2544

Step-by-step explanation:

It is closer to 1 than the latter.

derivation of trigonometric identities (all 3).

Answers

Answer:

Sine, Cosine and Tangent.

Step-by-step explanation:

These are the 3 basic trigonometric identities.

can someone please help me with this

Answers

Answer:

3. How many faces do each of the following have?

cube - 6 facessquare pyramid - 5 facestriangular pyramid - 4 facespentagonal pyramid - 6 faces

Hope this helps!

please solve the equation and describe what mistake asif did

Answers

Hey
Here it is!!

8x+1=5
8x=4
x= 4/8
x=1/2

Answer:

1/2

Step-by-step explanation:

8×+1=5

8×=5-1

8×=4

×=4/8=1/2

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