A school sells boxes of cookies each year for a charity fund. The data set shows the number of boxes the 10 families living on Willow Avenue buy, on average, every year. {2, 3, 2, 2, 0, 5, 2, 1, 1, 3} Does this data have negative, positive, or zero skew?

QUESTION POSTED AT 19/02/2020 - 04:25 PM

Answered by admin AT 19/02/2020 - 04:25 PM

Answer:

This data set has zero skew as it is symmetric.

Step-by-step explanation:

We know that the symmetry exist in a data when the mean, median and mode of the data is same.

i.e. we are given a set of data as:

              {2, 3, 2, 2, 0, 5, 2, 1, 1, 3}

  • On arranging the data in increasing order we get :

    0  1   1   2   2   2   2   3   3   5

Hence, the value that occur in the middle is: 2

Hence, we have Median=2

  • Also, the mean is calculated as follows:

Mean=\dfrac{2+3+2+2+0+5+2+1+1+3}{10}\\\\\\Mean=\dfrac{21}{10}\\\\\\i.e.\\\\\\Mean=2.1

              Hence, Mean=2.1

  • Also, the mode of the data is the most frequently occurring data point in the set.

Here 2 occurs most number of times i.e. 4 times and hence we have:

                   Mode=2

Now, as the Mean, Median and Mode of the data are approximately same.

      Hence, we get the data is symmetric and hence has a zero skew.

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Related questions

Lillian is sanding on this ladder. Think of the ground as 0 on a number line. The steps of the ladder are the same distance apart.

Since there are 8 overall rungs on the ladder, this would mean that all 8 (8/8) would equal 1. He is standing on the fifth rung. Put 5 over 8. He is standing on 5/8th rung of the ladder.

ANSWERED AT 31/03/2020 - 10:48 AM


QUESTION POSTED AT 31/03/2020 - 10:48 AM

Lillian is sanding on this ladder. Think of the ground as 0 on a number line. The steps of the ladder are the same distance apart.

It would be 5/8 because you count how much ladder steps there are then count how many he has climbed. I may be wrong but I'm sure this is correct

ANSWERED AT 31/03/2020 - 10:48 AM


QUESTION POSTED AT 31/03/2020 - 10:48 AM

The sharadze family is planning a car trip to atlanta, georgia, which is 279 miles from their home. they plan to drive at an average speed of 62 miles per hour. they also plan to stop for lunch for 45 minutes. based on their plan, when should they leave in order to arrive in atlanta at 3:00 p.m.?

The Sharadaze family should leave at 10:45 am. 

279(miles)/62(miles)=4.5(min.)  4.5(min.)-45(min.)=4.15

10:45+4:15=2:60 which is 3:00

which proves that the Sharadaze family should leave at 10:45 am. 

ANSWERED AT 31/03/2020 - 10:47 AM


QUESTION POSTED AT 31/03/2020 - 10:47 AM

Lillian is sanding on this ladder. Think of the ground as 0 on a number line. The steps of the ladder are the same distance apart.

5 steps on the ladder she's on

ANSWERED AT 31/03/2020 - 10:47 AM


QUESTION POSTED AT 31/03/2020 - 10:47 AM

The radius of the sphere is 10 units.What is the approximate volume of the sphere? Use π = 3.14 and round to the nearest whole cubic unit. cubic units

Answer:

V = 4187 cubic units.

Step-by-step explanation:

Volume of a sphere = 4/3*π*r^3

Given: r = 10, π = 3.14

Volume of the sphere = 4/3*3.14*10^3

= 4/3*3.14*1000

= 4/3*3140

= 12560/3

V = 4186.66

When we round to the nearest whole number, we get V = 4187 cubic units.

Hope this will helpful.

Thank you.

ANSWERED AT 31/03/2020 - 10:47 AM


QUESTION POSTED AT 31/03/2020 - 10:47 AM

Nina mixed 16 ounces of olive oil with vinegar to make salad dressing. How many cups of oil did Nina use? (1 cup = 8 ounces) A. 128 cups B. 8 cups C. 2 cups D. 1 cup

Nina used 2 cups. The correct answer is B. Use this formula;
lets assume y is the amount of ounces she used. Lets assume x is the amount of cups she used.

y = x(8)
Replace y with 16.
16 = x(8)
Divide by 8.
2 = x
Thus, 2 cups.

ANSWERED AT 31/03/2020 - 10:47 AM


QUESTION POSTED AT 31/03/2020 - 10:47 AM

F(x)= x^2-1 .Find the graph of f(2/3x)

Draw graph of f(x) = x^2-1
change scale on x-axis by 3/2
( 1 -> 3/2 , 2-> 3, 3->9/2, ... )

ANSWERED AT 31/03/2020 - 10:46 AM


QUESTION POSTED AT 31/03/2020 - 10:46 AM

What is the LCM of 3 and 8?

Multiples of 3: 3,6,9,12,15,18,21,24,
Multiples of 8 : 8, 16, 24...

Answer: 24

ANSWERED AT 31/03/2020 - 10:46 AM


QUESTION POSTED AT 31/03/2020 - 10:46 AM

To which graph does the point (−1, 3) belong? y ≥ 2x + 6 y ≥ 3x − 1 y ≥ −x + 3 y ≥ −2x + 5

Here is your answer:

Solving the equation you would see that:

 3x-1=-3-3-1 = -43 + 4 = 77 + 1 = 8x = 8or  y \geq 3x-1

Therefore your answer is the second option "y ≥ 3x − 1."

ANSWERED AT 31/03/2020 - 10:46 AM


QUESTION POSTED AT 31/03/2020 - 10:46 AM

Let the sequence {an} be defined so that a1 = 1 and each succeeding term is found by multiplying the one before it by 4. Find the formula representing an, the nth term of the sequence.

A₁ = 1 = 4⁰

a₂ = 4 =4¹

a₃ =4 x 4=4²

a₄ =4 x 4² =4³
...................
...................

a(n) = 4⁽ⁿ⁻¹⁾

ANSWERED AT 31/03/2020 - 10:44 AM


QUESTION POSTED AT 31/03/2020 - 10:44 AM

What are the first, fourth and eighth terms for A(n)=-2*2^n-1

The first term is -2. The fourth term is -16. And the last term is -256.
To find them, lets say the first term, replace n with 1. You can use this idea to find out the rest (which I've already done, but just to explain to you.).

ANSWERED AT 31/03/2020 - 10:44 AM


QUESTION POSTED AT 31/03/2020 - 10:44 AM

A tree is 2 feet tall in 2010 and 5 feet tall in 2012. What is the rate of change ?

One point five feet per year

ANSWERED AT 31/03/2020 - 10:43 AM


QUESTION POSTED AT 31/03/2020 - 10:43 AM

Yesterday, Jim had b baseball cards. Today, he gave 13 away. Using b, write an expression for the number of cards Jim has left.

Jim started with b baseball cards and gave 13 away. So, that means we take away from his starting amount or b.

So, b - 13 is the expression you are looking for.

ANSWERED AT 31/03/2020 - 10:43 AM


QUESTION POSTED AT 31/03/2020 - 10:43 AM

Norman is shipping 2 boxes. the first box weighs 4180 grams and the second box weighs 820 grams. if shipping costs $6.43 per kilogram. how much does Norman spend on shipping?

1000 grams in a kilogram, so it's 5x6.43, which equals 32.15

ANSWERED AT 31/03/2020 - 10:42 AM


QUESTION POSTED AT 31/03/2020 - 10:42 AM

Find the first, fourth and eighth terms for a(n)=-3*2^n-1 please help!

1 is -3        4 is -24     8 is -384    I think that's right

ANSWERED AT 31/03/2020 - 10:42 AM


QUESTION POSTED AT 31/03/2020 - 10:42 AM

What is the result when 8x + 3 is subtracted from -2x + 5?

First you must find x in order to solve this question, unless you do not need to find out X.

ANSWERED AT 31/03/2020 - 10:41 AM


QUESTION POSTED AT 31/03/2020 - 10:41 AM

The general form of the equation of a circle is x2+y2−4x−8y−5=0. What are the coordinates of the center of the circle?

The general equation of a circle is  (x-a)^{2} + ( y-b)^{2} =  r^{2} where a and b are the x and y components of the center respectively. 

In order to get into this format, we have to use a method that I'm drawing a blank on the same, my apologies about that.

Anyway, what you want is to first isolate the variable on side so now you have:  x^{2} - 4x +  y^{2} - 8y = 5 (you'll see why I rearranged this soon)

Now you have to make it into an equation that can be simplified into the format stated earlier.

So, You have to take the x & y terms (-4x & -8y in this case) divide them each by two, and then square them.

The result of this step is the equation:  x^{2} -4x + 4 +  y^{2} - 8y + 16 = 5 + 4 + 16 
Notice the new components that have been added (4 & 16) and how the have been added to both sides. That is an important step.

Now we simplify and get: (x-2)^{2} +  (y-4)^{2}  = 25

So the coordinate of the center is: (2,4) and the radius is 5

ANSWERED AT 31/03/2020 - 10:40 AM


QUESTION POSTED AT 31/03/2020 - 10:40 AM

Over the last 12 month, Petco has lost a total of $1824.00 due to shoplifting. Write and solve an equation that shows how much money Petco lost each month. ( Since they have lost the money, remember that you need to use negative integers to represent the situation correctly.)

Take y=mx+b  
let x=years and 
y=lost money

then divide 1824 by 12 = 152
and since it is a loss make it into -152
and insert it for m as the constant rate of loss per month
your answer should be y=-152x.
if the store has a starting amount of money plug that into b.

ANSWERED AT 31/03/2020 - 10:40 AM


QUESTION POSTED AT 31/03/2020 - 10:40 AM

A gas stove that sells for $749 is on sale at a 30% discount. What is the sale price of the gas stove?

All you have to do is change the percent to a decimal.
30%= 0.30
Then multiply
$749 * 0.30 =
Sales Price = $224.70

ANSWERED AT 31/03/2020 - 10:38 AM


QUESTION POSTED AT 31/03/2020 - 10:38 AM

It takes Ivanna 3 minutes to complete 2 problems on her math homework . How long will it take Ivanna to complete 12 problems?

3 min to complete 2 problems
___ min to complete 12 problems  

It took her 6 min. Why. Divided 12 divided by 2 is 6. So if it took her 3 min to complete 2 problems then it took her 6 min to complete 12 problems. 
  


                      

ANSWERED AT 31/03/2020 - 10:37 AM


QUESTION POSTED AT 31/03/2020 - 10:37 AM

Jake walks from the library to the museum along 3th avenue. he stops at the post office and at a store. The distances between the streets he crosses are all the same.

I believe the answer would be 4/6 which would simplify to 2/3

ANSWERED AT 31/03/2020 - 10:37 AM


QUESTION POSTED AT 31/03/2020 - 10:37 AM

Can u help me find the prime number factors

8
4 2
2 2. The spaces mean multiply symbols

ANSWERED AT 31/03/2020 - 10:37 AM


QUESTION POSTED AT 31/03/2020 - 10:37 AM

Ten qualified applicants apply for a part-time job. If the manager randomly hires 3 of them, what is the probability that he hires the 3 youngest?

3/30 (I think) they have a 1/10 of picking the youngest, so that times three

ANSWERED AT 31/03/2020 - 10:37 AM


QUESTION POSTED AT 31/03/2020 - 10:37 AM

What is 2/3 of 3 2/3

2/3x 3 2/3=2/3x11/3=2.4444 or 2 4/9

ANSWERED AT 31/03/2020 - 10:37 AM


QUESTION POSTED AT 31/03/2020 - 10:37 AM

Choose the numbers that are irrational 1/3 2/7 2 3.624 0.6 N 0.87 -5

2/7 is a irrational number

ANSWERED AT 31/03/2020 - 10:37 AM


QUESTION POSTED AT 31/03/2020 - 10:37 AM

A shelf holds 3 novels, 2 biographies, and 1 history book. Two students in turns choose a book at random. What is the probability of that the students choose each of the following? 1. both novels _____ 2.both biographies _______ 3. a history, then a novel _____ 4. both history books ______

I'll do the first one:
Both novels.

Student 1 picks a novel. There are 3 novels out of 6 books total.

Now there are 5 books left.

Student 2 picks a novel. There are 2 novels out of 5 books since the other student took a novel.

To find the probability you would multiply the probability student 1 gets a novel and the probability student 2 gets a novel.

 \frac{3 Novels}{6 Books} x  \frac{2 Novels}{5 Books} =   \frac{6}{30} =  \frac{1}{5}

So the probability is 1/5. Or 20%

ANSWERED AT 30/03/2020 - 09:23 AM


QUESTION POSTED AT 30/03/2020 - 09:23 AM