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2 years ago

Find the mode median, mean, and range for each data set. PLS HELP!!!

Mathematics

2 answers:

alex41 [277]2 years ago

8 0

Answer: If I put a line over the number that means continued Ex: (23.333333..., 3.098888 or 56.77777...)

11. Mean 1 + 2 + 3+ 3+ 4+ 4+ 4+ 5+ 5 / 9 = 31/9 =26.5 .Median 4 Mode 4 Range 5 - 1 = 4. _

12. Mean 6.5 + 7.5 + 7.5 + 7.5+ 8 + 8.5 + 8.5 + 8.5 + 8.5 + 8.5 +9 = 88.5/11 =8.045

median 8.5 mode 8.5 range 9 - 6.5= 2.5

13. Mean 5.75 + 7.25 + 7.75 + 8 = 28.75/4 = 7.1875. median 7.25 + 7.75 = 15/2 = 7.5 range 8 - 5.75 = 2.25

14. Mean 5 + 5 + 6 + 6 + 6 + 7 + 7 + 7 + 7+ 7 = 63/10 = 6.3 median 6 + 7 = 13/2 = 6.5 . mode = 7 range 7 - 5 = 2. _

15. Mean 5 + 5 + 5 + 7+ 7+ 7+ 7 + 7+ 7+ 7/9 = 62/9 = 57.5 median 2 mode 2 range 7 - 5 = 2.

16. 1 + 2 + 2 + 2 + 2 + 2 + 3 + 5 + 5 + 5= 29/10 = 2.9 Median 2 mode 2 range 5 - 1 = 4.

17. 1 +2 + 3 + 5 + 6 + 6+ 6 + 8 + 13 + 19 = 69/10 = 6.9 median 6 mode 6 range 19 - 1 = 18. __

18. 1 + 2 + 2 + 2 + 2+ 2 + 2 + 2 + 4 + 4 + 5 = 27/11 = 2.45 median 2 mode 2 range 4.

Step-by-step explanation:

Mean

Add up all the numbers, then divide by how many numbers there are. Ex: 2, 3, 4. 2 + 3 + 4 = 9. Since there is 3 numbers we divide. 9 divided by 3 equals 3 so 3 is your mean.

Median

Arrange your numbers from least to greatest.

Count how your numbers.

If you have a set of odd numbers, the number in the middle is your median. Ex: 2, 3, 6, 7, 1, . your median is 6.

Mean

If you have a set of even numbers use the 2 numbers in the middle then divide. Ex: 1, 5, 3, 8, 9, 2. The two numbers in the middle are 3 and 8 . 3 plus 8 equals 11. 11 divided by 2 is 5.5. the mean.

Mode

write the numbers from least to greatest. The number that shows the most is your mode. Ex. 4 , 6 ,7 ,3 ,1 3, 3, 3, 2 3, . The number that appears the most is 3. So 3 is the mode. If there is no number that appears more than all the others put NONE or N/A in the blank.

Range

To find the range put the subtract the greatest number and least number. Ex: 2, 4, 7, 1, 8. 1 , 2, 4, 7, 8. 8 mins 1 is 7 so 7 is the range.

Verdich [7]2 years ago

6 0

Answer:

https://www.calculator.net/mean-median-mode-range-calculator.html

Step-by-step explanation:

use this website it helps so much

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kicyunya [14]

Answer:

8.69% probability that at least 285 rooms will be occupied.

Step-by-step explanation:

For each booked hotel room, there are only two possible outcomes. Either there is a cancelation, or there is not. So we use concepts of the binomial probability distribution to solve this question.

However, we are working with a big sample. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

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 samples 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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

A popular resort hotel has 300 rooms and is usually fully booked. This means that $n = 300$

About 7% of the time a reservation is canceled before the 6:00 p.m. deadline with no pen-alty. What is the probability that at least 285 rooms will be occupied?

Here a success is a reservation not being canceled. There is a 7% probability that a reservation is canceled, and a 100 - 7 = 93% probability that a reservation is not canceled, that is, a room is occupied. So we use $p = 0.93$

Approximating the binomial to the normal.

$E(X) = np = 300*0.93 = 279$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{300*0.93*0.07} = 4.42$

The probability that at least 285 rooms will be occupied is 1 subtracted by the pvalue of Z when X = 285. So

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

$Z = \frac{285- 279}{4.42}$

$Z = 1.36$

$Z = 1.36$ has a pvalue of 0.9131.

So there is a 1-0.9131 = 0.0869 = 8.69% probability that at least 285 rooms will be occupied.

8 0

3 years ago

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

77julia77 [94]

Answer:

C. It has been stretched horizontally.

Step-by-step explanation:

According to the diagram, the parabola has not been reflected in any way, nor has it been translated, since the parabola is pointing up in a smile, and the vertex is still at the origin.

The parabola does appear to be stretched, since the parent function had points at (1, 1), and (2, 4), but this parabola does not contain those points.

Since the parabola appears to be flatter than the parent function, we can say that C. It has been stretched horizontally.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Can you please give me that answer

4vir4ik [10]

Answer:

Obtuse Triangle

Step-by-step explanation:

When there is an angle with a measurement greater than 90 degrees, the triangle is an obtuse triangle.

8 0

2 years ago

Solve using quadratic formula<br> 6x^2-x=2

Nadya [2.5K]

$6x^2-x=2\implies 6x^2-1x-2=0 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{6}x^2\stackrel{\stackrel{b}{\downarrow }}{-1}x\stackrel{\stackrel{c}{\downarrow }}{-2}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}$

$x = \cfrac{ -(-1) \pm \sqrt { (-1)^2 -4(6)(-2)}}{2(6)}\implies x = \cfrac{1\pm\sqrt{1+48}}{12} \\\\\\ x = \cfrac{1\pm\sqrt{49}}{12}\implies x = \cfrac{1\pm 7}{12}\implies x = \begin{cases} \frac{8}{12}\to &\frac{2}{3}\\[1em] -\frac{6}{12}\to &-\frac{1}{2} \end{cases}$

7 0

3 years ago

Nina has some nickels and 9 pennies in her pocket. Her friend, Maurice has twice as many nickels as Nina. Together these coins a

algol13

So Maurice would have 2N nickels

Total number of coins is N + 2N + 9 = 3N + 9

Each nickel is 5 pennies

3N of nickels = 15N pennies

-----------

Their worth is 84 cents

15N + 9 = 84

15N = 75

N = 75/15 = 5

N = 5

This means Nina has 5 nickels.

4 0

3 years ago