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3 years ago

Explain in math 8th grade - what mean, median and mode are?

2 answers:

7 0

Mean - is the average of something. You basically find the sum of all the numbers then divide the sum by how many numbers you added so for example I have 1,3,4and 2
To find the average you add them first to get 10 then you divide this by 4 since I added 4 numbers.

Median - is the number that falls in the middle. First you gotta sort the numbers from smallest to biggest then pick the one in the middle for example is I have 7,5,9,2and 1. I gotta sort it —-> 1,2,5,7,9 then I pick the number in the middle which is 5. So 5 is the median

Mode- is the number that appears the most times. So if I have the set 3,7,5,3,9,4,1,3 the mode would be 3 because it appears the most times

mina [271]3 years ago

3 0

Mean is the average

To calculate mean
Eg: 2, 5, 9, 3, 5, 4 7
There are 7 digits
(2+5+9+3+5+4+7) divide by 7
= 5 is the mean

Median is the middle value

To calculate mean, you have to reorder the data in a numerical order. Median is always the middle value so in this case: 5 is the middle value.

2, 5, 9, 3, 5, 4, 7
Ordered correctly: 2,3,4,5,5,7, 9
=5 is the median value

Mode is the most repeated number on the list, so for this care, the Mode is 5 because there are two “5” digits in this data.

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Enter the ratio as a fraction in lowest terms <br><br> 5ft to 58 in.

MrMuchimi

Answer:

30/29

Step-by-step explanation:

5 feet is 5*12 = 60 inches

Fraction is (60 in)/(58 in)

(60 in)/(58 in) = 30/29

8 0

2 years ago

A person invests $125 at 3% interest. how long will it take to be worth 300

aleksandr82 [10.1K]

A tad more than 29 years, but that depends on the number of times it is being compounded

5 0

3 years ago

There are 6 boys and 9 girls in the church's youth group. What type of ratio is boys to girls

mina [271]

I hope this helps you

6/9

2.3/3.3

2/3

2:3

3 0

3 years ago

Last year , there were 30 male members and 20 female members in a Chess Club . This year , the number of male members is decreas

LekaFEV [45]

The r% of a quantity x is computed by dividing x in 100 parts, and considering r of such parts. So, the r% of the male is

$30\times\cfrac{r}{100} = 0.3 r$

and similarly, the r% of female is

$20\times\cfrac{r}{100} = 0.2 r$

The number of males decreased by this quantity, so now it is

$30 - 0.3r$

and the number of female increased by this quantity, so now it is

$20+0.2r$

we know that these two new counts are the same number, so we can build and solve the equality

$30 - 0.3r = 20+0.2r$

Subtract 20 and add 0.3r from both sides:

$10 = 0.5r$

Divide both sides by 0.5 to solve for r:

$r = 20$

Let's check the answer

The 20% of 30 is $30 \times \frac{20}{100} = 6$ , while the 20% of 20 is 4. So, we are stating that $30-6 = 20+4$ which is true because both expressions evaluate to 24.

7 0

3 years ago

A manufacturer is planning to sell a new product at the price of 210 dollars per unit and estimates that if x thousand dollars i

sattari [20]

Answer:

Development costs: $2757

Promotion costs: $3155

Step-by-step explanation:

This might seem like a two-variable problem, but in actuality it's not - because the demand function is a sum of two components, each being independent and using only one variable, we can solve for the two separately.

Moreover, the price per unit and cost per unit is constant, so each product yields exactly $80 ($210 - $130).

Let's solve separately.

We need to maximize:

$80 * 160y/(y+4) - 1000y = $12800 * y/(y+4) - $1000*y

$80 * 170x/(x+7) - 1000x = $13600 * x/(x+7) - $1000*x

Let's go:

$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y

we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.

deriv = $51200/(y+4)/(y+4) - $1000

We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.

(y+4)^2 = $51.2

y+4 ~= 7.155417528 (or -y-4 = 7.1554... but it doesn't make sense because negative budget so we don't analyze).

y ~= 3.155417528

lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.

rounding $1000y to the nearest dollar gives us $3155

Let's do the same for x:

$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x

deriv = $95200/(x+7)/(x+7) - $1000

$95200/(x+7)/(x+7) - $1000 = $0

(x+7)^2 = 95.2

(x+7) ~= 9.75704873412

x ~= 2.75704...

rounding $1000x to the nearest dollar yields $2757

3 0

3 years ago