1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RUDIKE [14]
3 years ago
9

What is the MAD of this data set? 2, 3, 5, 7, 8, 8, 9

Mathematics
2 answers:
frez [133]3 years ago
7 0

(add up all the data set and divide it by 7, why 7?, because there are about 7 numbers in the data set or the listed numbers)

2 + 3 + 5 + 7 + 8 + 8 + 9 = 49  

                                          ------ = 7

                                             7

(subtract the data set and 7)

7 - 2 = 5

7 - 3 = 4

7 - 5 = 2

7 - 7 = 0

7 - 8 = 1

7 - 8 = 1

7 - 9 = 2

(add the difference and divide it by 7 again)

5 + 4 + 2 + 0 + 1 + 1 + 2 = 15

                                         ------- = 2.14

                                           7

final answer would be 2.14

Tasya [4]3 years ago
3 0

Answer:

do you mean the mode cause that would be 8 and the mean would be 6 and median would be 7 and the range would also be 7

the mad would be 2.2857 idk what your rounding to but i hope this helps

Step-by-step explanation:

You might be interested in
Critical Thinking: Empirical/Quantitative Skills
aliya0001 [1]

Answer:

1. 0.0910 = 9.10% probability that exactly 180 passengers show up for the flight.

2. 0.4522 = 45.22% probability that at most 180 passengers show up for the flight.

3. 0.5478 = 54.78% probability that more than 180 passengers show up for the flight.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

Assume that there is a 0.905 probability that a passenger with a ticket will show up for the  flight.

This means that p = 0.905

Also assume that the airline sells 200 tickets

This means that n = 200

Question 1:

Exactly, so we can use the P(X = x) formula, to find P(X = 180).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 180) = C_{200,180}.(0.905)^{180}.(0.095)^{20} = 0.0910

0.0910 = 9.10% probability that exactly 180 passengers show up for the flight.

2. When 200 tickets are sold, calculate the probability that at most 180 passengers show up for the flight.

Now we have to use the approximation.

Mean and standard deviation:

\mu = E(X) = np = 200*0.905 = 181

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.905*0.095} = 4.15

Using continuity correction, this is P(X \leq 180 + 0.5) = P(X \leq 180.5), which is the p-value of Z when X = 180.5. Thus

Z = \frac{X - \mu}{\sigma}

Z = \frac{180.5 - 181}{4.15}

Z = -0.12

Z = -0.12 has a p-value of 0.4522.

0.4522 = 45.22% probability that at most 180 passengers show up for the flight.

3. When 200 tickets are sold, calculate the probability that more than 180 passengers show up for the flight.

Complementary event with at most 180 passengers showing up, which means that the sum of these probabilities is 1. So

p + 0.4522 = 1

p = 1 - 0.4522 = 0.5478

0.5478 = 54.78% probability that more than 180 passengers show up for the flight.

4 0
2 years ago
One side of triangle is 4cm longer than the shortest side and 2cm shorter than the longest side the perimeter is 38cm what are t
o-na [289]
9.3, 13.3, 15.3
Hope it helps!
7 0
2 years ago
Read 2 more answers
Round 125 458 to the nearest hundred thousand
Virty [35]
The hundred thousandth place is 1. Since 2 comes after it, and 2 is less than five, then it rounds down, making the answer 100,000.
8 0
3 years ago
Read 2 more answers
?...............................
arsen [322]

Answer:

-2 ≤ n < 8

Step-by-step explanation:

_________________

5 0
3 years ago
Si Martha retira de su cuenta el 10% para los transportes del mes. ¿Cuál es el nuevo saldo de la cuenta?
notsponge [240]

Respuesta:

0,9 veces

Explicación paso a paso:

Deje que la cantidad en la cuenta de Martha se denote como x, que es la cantidad en la cuenta = x

Porcentaje retirado para transporte = 10%

El porcentaje total siempre será del 100%

Por lo tanto, si se retira el 10%, entonces; el porcentaje restante es:

Porcentaje total: porcentaje gastado en transporte

(100% - 10%) * monto en cuenta

90% * x = 0,9 * x = 0,9x

Saldo de cuenta nueva = 0.9x

8 0
2 years ago
Other questions:
  • PLEASE HELP
    11·1 answer
  • Sarah takes out a loan for $30,000. She has two choices for the loan; a 5 year loan with 5% simple interest or a 7 year loan wit
    7·1 answer
  • What is 3 6/9 in lowest terms
    11·2 answers
  • X+y=120 <br>5.25x+3.0y=517.2
    8·1 answer
  • Please see attatchment for question. Please include all postulates/theorems used to solve it, if possible. Also include the lett
    8·1 answer
  • Log 200 ~ 2.301<br> Write in exponential form
    10·1 answer
  • Z%3 = -3.6 helpppp!!!
    6·1 answer
  • 1) What are the zeros of f(x) = (x + 4)(x – 7)?
    8·2 answers
  • Step 3: Write the equation of the line that passes through the point (4,−1)
    6·1 answer
  • The circumference of the<br> circle shown is 62.8 inches,<br> what is the circle's<br> diameter?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!