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3 years ago

Explain when the median of a data set is a better measure of center than the mean

Mathematics

2 answers:

choli [55]3 years ago

7 0

Answer:

Sample Response: When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

What did you include in your response? Check all that apply.

The dot plot or histogram will be skewed.

The mean is pulled up or down toward the tail.

The mean is affected more than the median.

vlada-n [284]3 years ago

5 0

The dot plot or histogram will be skewed.

The mean is pulled up or down toward the tail.

The mean is affected more than the median.

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Factorise fully p^3 + p^2

nikklg [1K]

Answer:

$\huge\boxed{p^3+p^2=p^2(p+1)}$

Step-by-step explanation:

$p^3+p^2\\\\p^3=p^{2+1}=p^2\cdot p\\\\p^3+p^2=p^2\cdot p+p^2\cdot1=p^2(p+1)$

Used:

$a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}:\ a(b+c)=ab+ac$

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2 years ago

0.357 round to 2 decimal places

Andrej [43]

.36. Just put that in

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3 years ago

Read 2 more answers

A true/false test has 40 questions. Suppose a passing grade is 30 or more correct answers. Test the claim that a student knows m

Angelina_Jolie [31]

Answer:

z≈3.16

p≈0.001

we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.

Step-by-step explanation:

As a result of step 2, we can assume normal distribution for the null hypothesis

z statistic is computed as follows:

z= $\frac{X-M}{\frac{\sqrt{p*(1-p)} }{\sqrt{N} } }$ where

X is the proportion of correct answers in the test ( $\frac{30}{40}$ )
M is the expected proportion of correct answers according to the null hypothesis (0.5)

p is the probability of correct answer (0.5)
N is the total number of questions in the test (40)

z= $\frac{0.75-0.50}{\frac{\sqrt{0.5*(0.5)} }{\sqrt{40} } }$ ≈ 3.16

And corresponding p value for the z-statistic is p≈0.001.

Since p<0.05, we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.

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3 years ago

An item is regularly priced at $97. Lucy bought it at a discount of 55% off the regular price.

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1 year ago

3(4x-7)=27<br> What does x =?<br> Please help asap im timed!!!

Scilla [17]

Answer:

x = 4

Step-by-step explanation:

3 x ( 4x -7 ) = 27

3 x 4x = 12x

3 x -7 = -21

12x -21 = 27

12x -21 + 21 = 27 + 21

12x = 48

12x/12 = 48/12

x = 4

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2 years ago