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3 years ago

Find the median and mean of the data set below: 9,10,38,0,26,35,8

Mathematics

2 answers:

Lina20 [59]3 years ago

8 0

Answer:

Median = 10

Mean = 18

Step-by-step explanation:

1) Median equals the middle number of a set.

To find median, place the numbers from least to greatest. So that’ll turn to be:

0, 8, 9, 10, 26, 35, 38

The middle number is 10.

2) Mean is the average of all the numbers.

To find mean, add all the numbers together. So 0+8+9+10+26+35+38 = 126

Then, divide the sum by the amount of numbers you added. We added a total of 7 numbers to get 126. 126/7 = 18. The average is 18.

Ivan3 years ago

6 0

Answer:

The median is 10 and the mean is 18 . Hope it help

Step-by-step explanation:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest

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It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat

Mrrafil [7]

Answer:

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z$

Step-by-step explanation:

Data given and notation

$\bar X=114$ represent the sample mean

$\sigma=22$ represent the population standard deviation

$n=36$ sample size

$\mu_o =120$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Part 1

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z$

8 0

3 years ago

The sum of 11 and t is 22

LenKa [72]

You will add the two numbers together and add the t as well to make 33t

5 0

3 years ago

Read 2 more answers

Solve for x- <br> 6x^2 + 36x + 54 = 0

lions [1.4K]

Answer:

-3

Step-by-step explanation:

$6x^2+36x+54=0$

First, you can factor out a 6:

$6(x^2+6x+9)=0$

Next, you can factor the quadratic:

$6(x+3)^2=0$

Since the only value of x that could set this equation equal to 0 is -3, that is the answer. Hope this helps!

5 0

3 years ago

In how many ways can 4 people sit next to each other in a movie theater row? [?] question 4 options:

emmainna [20.7K]

Any of the 4 people can take the first seat
since it gets occupied by one person , the next seat can be occupied by any of the remaining 3
similarly, the next one has 2 possibilities and the last seat can only be occupied by the man who is left

so by the principal of multiplication, no. of ways equals 4! = 4×3×2×1 = 24 ways

3 0

3 years ago

Solve for π: V= 2πr^2 + 2πrh

crimeas [40]

Answer:

π = V/(2r²+2rh)

Step-by-step explanation:

"Solving" for something means to isolate it on one side of an equation. Because both terms on the right side of the equation have π in common, we can factor it out. Then from there, you just divide the rest of it on both sides to isolate π. It should look like this:

V=2πr^2 + 2πrh

V=π(2r² + 2rh)

V/(2r² + 2rh)=π

3 0

4 years ago