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BartSMP [9]
2 years ago
13

Below are summary statistics for the sizes (in acres) of some local vineyards. Using the summary statistics, complete parts (a)

through (c) below.
Variable N Mean StDev Minimum Q1 Median Q3 Maximum
Acres 36 48.50 47.42 6 17.97 33.00 57.86 250
From the summary statistics, would you describe this distribution as symmetric or skewed? Explain. Choose the correct answer below.

(A This distribution is symmetric because the mean and median are reasonably close to one another and the quartiles are approximately the same distance from the mean.
(B) This distribution is skewed because the mean and median are not reasonably close to one another.
(C) This distribution is symmetric because the mean and median are reasonably close to one another and the extreme values are approximately the same distance from the median.
Mathematics
1 answer:
rjkz [21]2 years ago
3 0

Answer:

option B

Step-by-step explanation:

The symmetric distribution have close or approximate values of median and mean. In the given scenario mean is 48.5 and median is 33. We can see that the both values significantly differs. Also, given mean is greater than median(48.5>33) . Thus, the distribution is positively skewed and not symmetrical.

Hence, the distribution is skewed because mean and median significantly differ from each other.

You might be interested in
Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?
In-s [12.5K]

Answer:

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis

Step-by-step explanation:

f(x)=2x^{3}-26x-24

2x^{3}-26x-24=0

2x^{3}-26x-24=0\\2x^{3}-2x-24x-24=0\\2x(x^{2} -1)-24(x+1)=0\\2x(x+1)(x-1)-24(x+1)=0\\(x+1)(2x^{2} -2x-24)=0\\=> x+1=0 => x_{1}=-1\\

=> 2x^{2} -2x-24=0\\=>2(x^{2} -x-12)=0\\=> x^{2} -x-12=0\\=> x^{2} -4x+3x-12=0\\=> x(x-4)+3(x-4)=0\\=> (x-4)(x+3)=0\\

=> x-4=0\\=> x_{2}=4\\=> x+3=0\\=>x_{3}=-3\\

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis



7 0
2 years ago
Read 2 more answers
A simple random sample of 100 concert tickets was drawn from a normal population. The mean and standard deviation of the sample
alexandr402 [8]

Answer:

We accept the null hypothesis and the population mean is $120.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100

Sample mean, \bar{x} = $120

Alpha, α = 0.01

Sample standard deviation, s = $25

First, we design the null and the alternate hypothesis

H_{0}: \mu = 125\\H_A: \mu \neq 125

We use two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = -2.0              

p-value one tail= 0.024

p-value two tail= 0.048

Conclusion:

Since the p-value for two tailed test is greater than the significance level, we fail to reject the null hypothesis and accept it.

Thus, the population mean is $120.

6 0
1 year ago
This year, a hardware store has a profit of -$6.0 million. This profit is 3/4 of last year's profit. What is last year's profit?
katen-ka-za [31]
4.5Million dollars Bam Boom
4 0
2 years ago
Luther owns a farm where he grows red and green tomatoes. He sells both types of tomatoes for $1.70 per pound. One customer boug
pashok25 [27]

Answer:

Total revenue= $32.13

Step-by-step explanation:

Giving the following information:

He sells both types of tomatoes for $1.70 per pound. One customer bought 10.6 pounds of red tomatoes and 8.3 pounds of green tomatoes.

<u>We need to calculate the total revenue:</u>

Total revenue= 1.7*10.6 + 1.7*8.3

Total revenue= $32.13

6 0
1 year ago
Jeremy rides his bike at a rate of 15 miles per hour. Below is a table that represents the number of hours and miles Kevin rides
TiliK225 [7]

The correct answer would be, Jeremy rides at a greater speed than Kevin.

Step-by-step explanation:

Jeremy rides at a rate of 15 miles per hour

Kevin rides at a rate given in the table

Let Y be the distance traveled by Jeremy

And X be the number of hours

Then for Jeremy:

y/x = 15/1

=> y= 15 x

For Kevin:  

(46-23)/(4-2)

= 23/2

= 11.5

So for Kevin, Y = 11.5 x

So when Jeremy's and Kevin's rates are compared,

15 > 11.5

which means Jeremy rides at a greater speed.  

Learn more about Time and Distance problem at:

brainly.com/question/3581191

#LearnWithBrainly

3 0
1 year ago
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