A student has these scores on their assignments. The teacher is considering dropping a
lowest score.
0, 40, 60, 70, 75, 80, 85, 95, 95, 100
a) What effect does eliminating the lowest value, 0, from the data set have on the mean
and median?
b) Would there be more of a significant change on the IQR or Standard Deviation?
Explain why.

Answers

Answer 1

The answers are shown below:

What is mean and median?

The arithmetic mean of a given data is the sum of all observations divided by the number of observations. For example, a cricketer's scores in five ODI matches are as follows: 12, 34, 45, 50, 24. To find his average score in a match, we calculate the arithmetic mean of data using the mean formula:

Mean = Sum of all observations/Number of observations

Mean = Sum of all observations/Number of observations

Mean = (12 + 34 + 45 + 50 + 24)/5

Mean = 165/5 = 33

The value of the middlemost observation, obtained after arranging the data in ascending or descending order, is called the median of the data.

For example, consider the data: 4, 4, 6, 3, 2. Let's arrange this data in ascending order: 2, 3, 4, 4, 6. There are 5 observations. Thus, median = middle value i.e. 4.

Given data:

0, 40, 60, 70, 75, 80, 85, 95, 95, 100

a)Mean without '0' = 40+ 60+ 70+ 75+ 80+ 85+ 95+ 95+ 100/9

                            = 700/9

                            = 77.777

Median without '0' = 80

Mean with ' 0' = 0+ 40+ 60+ 70+ 75+ 80+ 85+ 95+ 95+ 100/10 = 70

Median with '0' = 80

b)standard deviation= 18.121673811445. (without '0')

standard deviation with 0 = 28.982753492379

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Related Questions

Can you explain this for me it im3 thank you

Answers

Answer:  see graph (attached)

Step-by-step explanation:

This is 4 line segments on one graph.

Segment 1

y = -2   when x is between -2 and -1

including -2 (closed dot) excluding -1 (open dot)

Segment 2

y = -1   when x is between -1 and 0

including -1 (closed dot) excluding 0 (open dot)

Segment 3

y = 0   when x is between 0 and 1

including 0 (closed dot) excluding 1 (open dot)

Segment 4

y = 1   when x is between 1 and 2

including 1 (closed dot) excluding 2 (open dot)

See graph for each of the line segments plotted on the graph

What is -6 + 5a - 6a - 10 - 4a simplified

Answers

Answer:

-5a -16

Step-by-step explanation:

-6 + 5a - 6a - 10 - 4a

=5a -6a -4a -10 -6

= -5a -16

Answer:

-16 - 5a

Step-by-step explanation:

-6 + 5a - 6a - 10 - 4a

= -6 - 10 = -(6 + 10)

= -16

= -16 + 5a - 6a - 4a

= 5a - 6a - 4a

= (5 - 6 - 4)a

= -5a

= -16 - 5a

2,3,5,7,11,13 find the next 5 numbers

Answers

Answer:

15,17,19,21,23

Step-by-step explanation:

It goes up by 2

I am a pattern block that has 2 fewer sides than a hexagon. I have 2 pairs of parallel sides a 4 right angles. Which shape am I

Answers

The shape described is a square, having four sides, two pairs of parallel sides, and four right angles, making it two sides fewer than a hexagon.

The shape you are referring to is one with four sides, two pairs of parallel sides, and four right angles. A hexagon has six sides, so a shape with two fewer sides would have four sides. This description matches that of a rectangle. However, since all angles are right angles, which is 90 degrees, this particular rectangle is also a square. Therefore, the pattern block shape you are asking about is a square, which fits the criteria of having two fewer sides than a hexagon, two pairs of parallel sides, and four right angles.

Whats
180,000+66. ; )

Answers

Answer:

I'm gonna take a wild guess and say 180,066 ;)

Answer:

180,066

Step-by-step explanation:

Simply add the two numbers. :) 180,000

                                                    +        66

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

                                                     180,066

in one math class there are 30 students, 12 of them are "nontraditional" in terms of age . If you randomly pick one person from that class, what's the probability that he or she will be of nontraditional age​

Answers

Answer:

the answer will be 12/30

The answer will be 12/30 or 6/15 simplified

If f(x) = 1/x+1 and g(x) = x^2, what does f(g(-1)) equal?
A. -1
B. -1/2
C. 0
D. 1/2
E. 1

Answers

Answer:

D: f(g(-1)) = 1/2

Step-by-step explanation:

f(x) = 1/(x + 1)

g(x) = x²

g(-1) = 1

f(g(-1)) = 1/(1 + 1)

f(g(-1)) = 1/2

Sarah is making strings of beads in the first string she uses 3 beads and she triples the number of beads in each of the next strings identify the number of beads she uses in 5th string.

Answers

Answer:

She uses 243 beads for the 5th string.

Step-by-step explanation:

In this problem, we can see a pattern. If she triples the number of beads in each of the next strings, that means that we just take the last number and multiply by 3. If the first string uses 3, then:

The second uses 9, 3 * 3 = 9

The third uses 27, 9 * 3 = 27

The fourth uses 81, 27 * 3 = 81

And the 5th uses 243, 81 * 3 = 243.

The great factory makes 6,793 toys each day. It makes 257 more toys than the super toy factory. How many toys does the super toy factory make each day?

Answers

6536 6793-257= 6536 is how many toys the super toy factory makes each day

Final answer:

The super toy factory makes 6,536 toys each day, which is calculated by subtracting the 257 additional toys made by the great factory from its total production of 6,793 toys.

Explanation:

To determine how many toys the super toy factory makes each day, we need to subtract the number of additional toys made by the great factory from its total daily production. The great factory makes 6,793 toys each day and it makes 257 more toys than the super toy factory. So:

Number of toys made by the super toy factory = Number of toys made by the great factory - Extra toys made by the great factory

Number of toys made by the super toy factory = 6,793 - 257

After performing the subtraction:

Number of toys made by the super toy factory = 6,536

Therefore, the super toy factory makes 6,536 toys each day.

3. Your father gives one-half of the money in his pocket to your mother, one-fourth of what is left to your brother, and one-third of what then remains to your sister. He then splits the rest with you. If you get $4.00, how much did your father start with?​

Answers

Answer:

The father start with $16

Step-by-step explanation:

Let

x -----> the original amount of money

step 1

Your father gives one-half of the money in his pocket to your mother

[tex]\frac{1}{2}(x)=\frac{1}{2}x[/tex]

The remaining is

[tex]x-\frac{1}{2}x=\frac{1}{2}x[/tex]

step 2

Your father gives, one-fourth of what is left to your brother

[tex](\frac{1}{4})\frac{1}{2}x=\frac{1}{8}x[/tex]

The remaining is

[tex]\frac{1}{2}x-\frac{1}{8}x=\frac{3}{8}x[/tex]

step 3

Your father gives one-third of what then remains to your sister

[tex](\frac{1}{3})\frac{3}{8}x=\frac{3}{24}x[/tex]

The remaining is

[tex]\frac{3}{8}x-\frac{3}{24}x=\frac{6}{24}x=\frac{1}{4}x[/tex]

step 4

Your father gives the rest with you

[tex]\frac{1}{4}x=\$4[/tex]

[tex]x=\$16[/tex]

therefore

The father start with $16

Evaluate x + y + z for x = 2, y=-3, z=-4​

Answers

Answer:

-5 is the answer

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

You have to plug the numbers for each letter

2 + (-3) + (-4)  /  2 - 3 - 4 = -5

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what is the prime numbers from 200 to 300​

Answers

Answer:

211, 223, 227, 229, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293

Step-by-step explanation:

We create a table of all numbers from 200 to 300.

Look at the picture (#1).

We cross out all even numbers (#2).

We find the first number divisible by 3 (201) and cross out every third number (#3).

We continue this way (numbers divisible by 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41,...).

In your task, it is enough until 17.

Answer and Step-by-step explanation:

Good Day Mate!

The prime numbers from [tex]200[/tex] to [tex]300[/tex] are : [tex]211, 223, 227, 229, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293[/tex]

There are about 14 prime numbers from 200 to 300!

Tickets for the school play sell for $4 each. Which graph shows the relationship between the number of tickets sold (x) and the total income from the tickets (y)?
A?
B?
C?
D?

Answers

D. Y is the price of the ticket

Which two ratios are equivalent to 10 : 12? 11:13 and 20:24 B. 10:12 and 11:13 C. 5:6 and 20:24

Answers

Answer: 5;6

Step-by-step explanation:

10 divided by 2 is 5

12 divided by 2 is 6 and plus I got this answer correct

Equivalent ratios are ratios that hold the same value.

[tex]\mathbf{(c)\ 5 : 6\ and\ 20 : 24}[/tex] are equivalent to 10:12

The ratio is given as:

[tex]\mathbf{Ratio = 10 : 12}[/tex]

Divide by 2

[tex]\mathbf{Ratio = 5 : 6}[/tex]

This means that, the two ratios to look out for must have the same value as 5 : 6.

From the list of options, we have:

[tex]\mathbf{(c)\ 5 : 6\ and\ 20 : 24}[/tex]

Divide 20 and 24 by 4

[tex]\mathbf{(c)\ 5 : 6\ and\ 5 : 6}[/tex]

Hence, [tex]\mathbf{(c)\ 5 : 6\ and\ 20 : 24}[/tex] are equivalent to 10:12

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Which of the following decimal numbers equals 4 thousands, 9 hundreds, 2 tens, and 6 ones?

Answers

4,926 is the answer since of the expanded form written, 4,000 + 900 + 20 + 6, but there is no decimal since nothing says tenths or hundredths or thousandths.

Hope this helped!

Nate

Final answer:

The decimal equivalent of 4 thousands, 9 hundreds, 2 tens, and 6 ones is 4926. This is calculated by adding the value of each quantity: 4000 (from the 4 thousands), 900 (from the 9 hundreds), 20 (from the 2 tens), and 6 (from the 6 ones)

Explanation:

The question is asking for the decimal equivalent of the quantity represented by 4 thousands, 9 hundreds, 2 tens, and 6 ones. To determine the answer, you would simply total the value of each quantity: 4 thousands equals 4000, 9 hundreds equals 900, 2 tens equals 20, and 6 ones equals 6. When you add these values together (4000 + 900 + 20 + 6), you get the total value of 4926 which is the decimal equivalent that we are looking for.

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Round 9.843 to the nearest tenths

Answers

Answer: 9.8

Step-by-step explanation:

9.8 is the answer for rounding to the nearest tenths spot

A box contains 24 oranges. Mr. Lee ordered 8 boxes for his store and 12 boxes for his restaurant.
a. Write an expression to show how to find the total number of oranges ordered.
b. Next week, Mr. Lee will double the number of boxes he orders. Write a new expression to represent the number of oranges in next week’s order.
c. Evaluate your expression from Part (b) to find the total number of oranges ordered in both weeks.

Answers

Answer:

a)480

b)960

c)1440

Step-by-step explanation:

We are given the following information:

Number of oranges in a box = 24

a)Boxes ordered by Lee for his store = 8

Number of boxes ordered by Lee for his restaurant = 12

Total number of oranges ordered = Total number of boxes ordered × Number of oranges in 1 box

[tex]= (8+12)\times 24 = 20\times 24 = 480[/tex]

b) Now Mr. Lee doubled his order for next week.

Boxes ordered by Lee for his store = 16

Number of boxes ordered by Lee for his restaurant = 24

Total number of oranges ordered = Total number of boxes ordered × Number of oranges in 1 box

[tex]= (16+24)\times 24 = 40\times 24 = 960[/tex]

c) Total number of oranges ordered =

[tex](20\times 24) + (40\times 24) = (20+40)\times 24 = 1440[/tex]

Therefore, total 1440 oranges were ordered by Mr. Lee.

PLEASE HELP! ILL MARK BRAINLIEST Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = nine divided by x squared + 2

Answers

y = (9 / (x^2))  + 2

Rewrite in terms of f(x):

y = (9/(g(x))) + 2

To get

g(x) = x^2

f(x) = 9/x + 2

How many solutions does this equation have?
7 - 8 = -8j
no solution
one solution
infinitely many solutions

Answers

One solution because when you switch the - to the other side it will be positive which will equal one and make it one solution.

Given AC = LN and BA= ML, which statement must be
true?
MBC BC > MN
BC = MN
BA= LN

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer: The correct Answer Is A BC<MN

Step-by-step explanation:

6×104 find the value

Answers

Answer:

624

Step-by-step explanation:

624
Step by step explanation:
When u multiply 6 x 104 it will equals to 624

Solve the equation for the specified variable
Y=cd-8, for c

Answers

Y=cd-8
Add 8 to each side giving you
y+8=cd

Divide by d on each side giving you

C=(y+8)/d

Identify the written form of this number 4,812,000

Answers

Answer: Four million eight hundred twelve thousand

Hope this helps you!

Answer:

four million eight hundred and twelve thousand

Step-by-step explanation:

What group set out to make sure woman knew how to use their votes wisely? -Apex

A. AWSA
B. NWSA
C. NAWSA
D. League of Women Voters

Answers

The correct answer is D)

The group set out to make sure woman knew how to use their votes wisely is NWSA

What is National Woman Suffrage Association?

The National Woman Suffrage Association (NWSA) was formed on May 15, 1869, to work for women's suffrage in the United States. Its main leaders were Susan B. Anthony and Elizabeth Cady Stanton.

Given is to find out which group set out to make sure woman knew how to use their votes wisely.

The NWSA wanted a constitutional amendment to secure the vote for women, but it also supported a variety of reforms that aimed to make women equal members of society.

Therefore, the group set out to make sure woman knew how to use their votes wisely is NWSA.

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Simplify by combining like terms: 10x - 12y + 8 + 12y

Answers

the simplified expression is [tex]\( 10x + 8 \)[/tex].

To simplify the expression[tex]\( 10x - 12y + 8 + 12y \)[/tex] by combining like terms, follow these steps:

1. Combine the terms with the same variable:

[tex]\[ 10x - 12y + 8 + 12y \] \[ = (10x) + (-12y + 12y) + 8 \] \[ = 10x + 0y + 8 \] \[ = 10x + 8 \][/tex]

So, the simplified expression is [tex]\( 10x + 8 \)[/tex].

what is the answer to -52 + 8|-1| + (-3)

Answers

Answer:

the answer is is -47

Step-by-step explanation:

First take the 8|-1|

anything between the lines is turned positive. therefore it simplifies to just 8 * 1  

so, now we have -52 + 8 + (-3)

-52 + 8= -44

-44+(-3)=-47

hope this helps you! ^^

Can anyone help me with this question please.(12points)

Answers

Answer:

8(8 + 7 + 5)

8(7 + 5)

40 + 56

15 + 13

(8 - 7) + (8 - 5)

Step-by-step explanation:

8 (64 + 56 + 40)

8(56 + 40)

96

28

1  + 3

Simplify the expression -3/8 -1/10

Answers

The simplified expression is -11/40.

The expression -3/8 - 1/10 can be simplified by following these steps:

1. Find a common denominator for the two fractions. The smallest number that both 8 and 10 can divide into is 40.

2. Rewrite the fractions using the common denominator.

  -3/8 = -15/40
  -1/10 = -4/40

3. Subtract the rewritten fractions.

  -15/40 - (-4/40) = -15/40 + 4/40 = -11/40

Therefore, the simplified expression is -11/40.

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What decimal is equal 35%

Answers

Answer: 0.35

Step-by-step explanation: To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. We can think of 35% as the ratio 35 to 100 or 35 ÷ 100. Remember that dividing by 100 moves the decimal point 2 places to the left. Therefore, 82 ÷ 100 would move the decimal point 2 places to the left which would give us .35 or 0.35.

35% can be written as the decimal 0.35.

The decimal equivalent of 35% is 0.35 .

Given,

35%

Now,

To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. We can think of 35% as the ratio 35 to 100 or 35 ÷ 100. Remember that dividing by 100 moves the decimal point 2 places to the left.

Therefore, 35 ÷ 100 would move the decimal point 2 places to the left which would give us .35 or 0.35.

Hence,

35% can be written as the decimal 0.35.

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nalia worked 3.5 hours more than lisa together they worked a total of 18 hours lisa worked h hours

Answers

Answer:

7.25 and 10.75 Hours

Step-by-step explanation:

Total hours Nalia and Lisa worked = 18 Hours

Nalia worked 3.5 hours then Lisa which is [tex]h[/tex] hours

⇒[tex]h + (h + 3.5) = 18[/tex]

[tex]2h + 3.5 = 18\\2h = 18 - 3.5\\2h = 14.5\\h = \frac{14.5}{2} \\h = 7.25[/tex]

Lisa has worked for 7.25 hours

Nalia has worked for = 7.25 + 3.5 = 10.75 hours

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