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2 years ago

Whats the mean for this data? round to 2 decimals places

Mathematics

2 answers:

kozerog [31]2 years ago

8 0

Answer:

1992.38

Step-by-step explanation:

To find the mean, simply add all the numbers together, and divide by the amount of numbers there is:

(1911.56 + 1956.69 + 1903.16 + 1958.82 + 1910.87 + 1983.14 + 2014.12 + 2023.86 + 2057.26 + 2034.21 + 2087.73 + 2067.14)/12 = (23908.56)/12 = 1992.38

1992.38 is your answer.

kolbaska11 [484]2 years ago

5 0

Answer:

1992.38

Step-by-step explanation:

The mean, or average, of a set of data points is found by adding all the values together and dividing by the number of values.

Sum:

1911.56 + 1956.69 + 1903.16 + 1958.82 + 1910.87 + 1983.14 + 2014.12 + 2023.86 + 2057.26 + 2034.21 + 2087.73 + 2067.14 = 23908.56

Divide:

There are 12 numbers, so divide 23908.56 by 12:

23908.56 / 12 = 1992.38

The average is thus 1992.38.

~ an aesthetics lover

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A sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8. If the sample mean corre

jeka57 [31]

Answer:

The value of the sample mean is 78.

Step-by-step explanation:

We are given that a sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8.

Also, the sample mean corresponds to a z score of 2.00.

Let $\bar X$ = sample mean

The z-score probability distribution for a sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 70

$\sigma$ = standard deviation = 8

n = sample size = 4

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, we are given that the sample mean corresponds to a z score of 2.00 for which we have to find the value of sample mean;

So, z-score formula is given by ;

z-score = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{4 } }$

$\bar X = 70+(2 \times 4)$

$\bar X$ = 70 + 8 = 78

Therefore, the value of the sample mean is 78.

3 0

2 years ago

The demand for a certain company's e-reader can be approximated byq =720p− 1 million units per year (60 ≤ p ≤ 400),where p is th

LenKa [72]

Answer:

Equilibrium price P = 200 dollars

equilibrium demand of million e-readers per yer = 2.6 mi/yr

Step-by-step explanation:

Given that;

q = 720/p - 1 million units per year { 60 ≤ p ≤ 400 }

supply q = 0.018p − 1 million units per year (60 ≤ p ≤ 400)

we substitute

720/p - 1 = 0.018p − 1

720/p = 0.018p

720 = 0.018p^2

p^2 = 720/0.018 = 40000

p = sqrt(40000)

p = 200

substitute value of p

q = 0.018(200) − 1

q = 3.6 - 1 = 2.6

Therefore Equilibrium price P = 200 dollars

equilibrium demand of million e-readers per yer = 2.6 mi/yr

8 0

2 years ago

A dairy needs 325 gallons of milk containing 5% butterfat. How many gallons each of milk containing 6% butterfat and milk contai

zubka84 [21]

The amount of milk containing 6% butterfat and 1% butterfat are 260 gallons and 65 gallons respectively.

Explanation

Suppose, the amount of milk containing 6% butterfat is $x$ gallons

As the amount of mixture of milk should be 325 gallons, so the amount of milk containing 1% butterfat will be: $(325-x)$ gallons

Given that, the mixture of milk is containing 5% butterfat. So, the equation will be....

$0.06x+0.01(325-x)=0.05*325\\ \\ 0.06x+3.25-0.01x=16.25\\ \\ 0.05x= 13\\ \\ x= \frac{13}{0.05}=260$

So, the amount of milk containing 6% butterfat is 260 gallons and the amount of milk containing 1% butterfat is (325-260) gallons = 65 gallons.

8 0

3 years ago

For the following problem, match the name of the number property that was used to get to each step from the previous step.

Artyom0805 [142]

Answer:

Step-by-step explanation:37 • 2 • (-5+ 5+ 1/2)

37 • 2 • (0 + 1/2 )

37 • 2 • 1/2

37 • 1

identity property of addition

commutative property

inverse property of multiplication

inverse property of addition

identity property of multiplication

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2 years ago

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nadya68 [22]

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3 years ago