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scoray [572]
3 years ago
10

For the following set of quiz data, which of the statements is true?

Mathematics
1 answer:
iragen [17]3 years ago
8 0
Arrange the data first
13, 15, 15, 16, 17, 22, 28

The median is 16
The mode is 15
The mean is 18

So, the statement that is true is:
D. The median is between the mode and the mean

You might be interested in
A market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 80% confidence inter
jasenka [17]

Answer:

The 80% confidence interval for the mean

(4.6199 , 4.7801)

Step-by-step explanation:

<u>Explanation</u>:-

Assuming that the population standard deviation for the number of energy drinks consumed each week is 1

Given the Population standard deviation 'σ' = 1

The study found that for a sample of 256 teenagers the mean number of energy drinks consumed per week is 4.7

given sample size 'n' = 256

mean of the sample 'x⁻' = 4.7

<u>confidence interval for the mean</u>

The 80% confidence interval for the mean is determined by

(x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\alpha }\frac{S.D}{\sqrt{n} } )

the z-score of 80% level of significance = 1.282

(4.7 - 1.282\frac{1}{\sqrt{256} } , 4.7 + 1.282\frac{1}{\sqrt{256} } )

(4.7 - 0.0801 , 4.7 +0.0801)

(4.6199 , 4.7801)

<u>Conclusion</u>:-

The 80% confidence interval for the mean

(4.6199 , 4.7801)

7 0
3 years ago
The function ggg is given in three equivalent forms. Which form most quickly reveals the vertex? Choose 1 answer: Choose 1 answe
White raven [17]

Answer:

(A)g(x)=\dfrac{1}{2}(x-8)^2-8

(h,k)=(8,-8)

Step-by-step explanation:

(A)g(x)=\dfrac{1}{2}(x-8)^2-8\\(B)g(x)=\dfrac{1}{2}(x-12)(x-4)\\(C)g(x)=\dfrac{1}{2}x^2-8x+24

From the given equivalent forms of the function g(x), we are to pick which form quickly reveals the vertex.

The vertex form of a parabola is given: f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Therefore, Option A, (A)g(x)=\dfrac{1}{2}(x-8)^2-8 quickly reveals the vertex.

From the above, h=8, k=-8. Therefore the vertex (h,k)=(8,-8)

7 0
3 years ago
Given that<br> 5,6,-2,4,8,1,1,1,1,1 <br>• find the mean<br> mode <br>median​
daser333 [38]

Answer:

mean: 2.6, mode: 1, median: 1

Step-by-step explanation:

The mean is essentially the average of the data set which can be defined as: \frac{\text{sum of data set}}{\text{amount of data in data set}}. So adding all the values together you get: 26. and counting all the numbers in the data set you find the data set has 10 numbers. This gives you the equation: \frac{26}{10} = 2.6 which is the mean

To find the mode, you find which number occurs most frequently, this is of course 1, which can really be determined by just looking at the data set for a second. all the other numbers only occur once, while 1 is in the data set 5 times. So 5 is the mode

To find the median you sort the data, from min to max, and then find the middle number. Sorting the data set gives you. -2, 1, 1, 1, 1, 1, 4, 5, 6, 8. Since this data set has an even amount of numbers, there is not going to be an exact middle. If you go the "middle" which is the 5th and 6th number, you add these two numbers and divide the sum by 2. This gives you: (1+1)/2 = 1 So the median is 1

4 0
2 years ago
paige has a garden in the shape of a circle. The radius of the garden is 4 feet. In the center, you place a birdbath with a radi
Reil [10]
Ara=pir^2
plantingarea=gardenarea-birdbath
leave in terms of pi first

gardenradius=4
gardenarea=pi4^2=pi16=16pi

birdbathradius=1
birdbatharea=pi1^1=1pi=pi

plantingarea=garden-birdbath=16pi-pi=15pi

aproxpi=3.14
3.14*15=47.2 ft^2 for planting
4 0
3 years ago
Read 2 more answers
5 hundred thausand 12 ten thausand 1 thausand 15 tens and 7 ones in standar form
Pachacha [2.7K]
The best to do this is like this:

5 hundred thousand would be 500,000

12 of 10,000 (should be 12,000)

1,000 tens is 10,000 plus 15 tens is 150 so this is 10,150

7 ones

522,157

7 0
3 years ago
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