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Olin [163]
3 years ago
12

When the outliers are removed, how does the mean change? dot plot with 1 on 50, 1 on 76, 1 on 78, 2 on 79, 1 on 80, 1 on 81, 2 o

n 82, 1 on 83 The mean decreases by 3. The mean increases by 2. The mean increases by 3. There are no outliers.
Mathematics
2 answers:
Arturiano [62]3 years ago
5 0
Answer: The mean increases by 3

-----------------------------------------------------------
-----------------------------------------------------------

The original data set is 
{50, 76, 78, 79, 79, 80, 81, 82, 82, 83}

The outlier is 50 because it is not near the group of values from 76 to 83 which is where the main cluster is.

The original mean is M = (50+76+78+79+79+80+81+82+82+83)/10 = 77

If we take out the outlier 50, the new mean is N = (76+78+79+79+80+81+82+82+83)/9 = 80

So in summary so far
old mean = M = 77
new mean = N = 80

The difference in values is N-M = 80-77 = 3

So that's why the mean increases by 3

vredina [299]3 years ago
4 0

Answer:

The mean increases by 3

Step-by-step explanation:

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Please help with this
Arturiano [62]

Answer:

10x^2 -4x +6

Step-by-step explanation:

The area of the blue square is

2* 5x^2 = 10x^2

The area of the pink square is

2 * -2x = -4x

The area of the green square is

2 *3 = 6

Add it all together

10x^2 -4x +6

4 0
3 years ago
A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true
kvv77 [185]

Answer:

99.74% probability that the sample proportion will be less than 0.1

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

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:

n = 276, p = 0.06

So

\mu = E(X) = np = 276*0.06 = 16.56

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{276*0.06*0.94} = 3.9454

What is the probability that the sample proportion will be less than 0.1

This is the pvalue of Z when X = 0.1*276 = 27.6. So

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

Z = \frac{27.6 - 16.56}{3.9454}

Z = 2.8

Z = 2.8 has a pvalue of 0.9974

99.74% probability that the sample proportion will be less than 0.1

5 0
3 years ago
PLEASE ANSWER ILL MAKE YOU BRAINLIEST 2 questions
GREYUIT [131]

Answer:

Wait what is the question the question you put in was

"PLEASE ANSWER ILL MAKE YOU BRAINLIEST 2 questions"

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLZ FAST I DONT WANNA DIE
gavmur [86]

Answer:

x=15

Step-by-step explanation:

<GCB=180-5x

<EBA=9x

<DAC=8x

The sum of the three exterior angles equals 360.

(180-5x)+9x+8x=360

180-5x+9x+8x=360

-5x+9x+8x=360-180

12x=180

x=15

6 0
3 years ago
Karen has 4h storyboiks. Karen's storybook collection is 2/3 of what Mary's collection is. How many storybooks do they have in a
Dafna11 [192]
In order to find out the answer , you just need to count :
Let's say that mary's collection is symbolized by x

2/3  x     =   4h

x             = 3/2 . 4h

x           =    6h

The storybooks they have in total would be : 6h  + 4h = 10 h

hope this helps

6 0
3 years ago
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