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3 years ago

Answer please have 20 questions? will give the brilest.

1 answer:

5 0

To find the mean of a dot plot, add up all of the data and divide by how many numbers there are.

In this case, the data added up is 4 + (5 x 4) + (6 x 3) + (7 x 2) + 10

4 + (5 x 4) + (6 x 3) + (7 x 2) + 10 = 66

With this information, we can now find the mean.
66/11=6

Therefore, the mean is 6. Hope this helps! Feel free to ask any questions.

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2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati

Ket [755]

Answer:

$\sigma = 11.28$ --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

<u>Start by calculating the mean</u>

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

$\bar x = \frac{\sum fx}{\sum f}$

So, we have:

$\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}$

$\bar x = \frac{7531}{91}$

$\bar x = 82.76$

Next, calculate the variance using the following formula:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}$

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

$\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}$

$\sigma^2 = \frac{11580.6816}{91}$

$\sigma^2 = 127.26$

Lastly, take the square root of the variance to get the standard deviation

$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{127.26}$

$\sigma = 11.28$ --- approximated

<em>Hence, the standard deviation is approximately 11.28</em>

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

8 0

2 years ago

Can someone please help me with this?

Jet001 [13]

Answer: Make an equation explaining how blue fire hydrant "b" relates to green fire hydrant "g". Once you have your equation choose the one on the multiple choice that matches your work.

Step-by-step explanation:

3 0

3 years ago

Which of the following describes the parabola with the equation y = −x2 − 3x + 6?

seropon [69]

Answer:

C) The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).

Step-by-step explanation:

The axis of symmetry is x = − b/2a

= -(-3) / 2(-1)

= 3/(-2)

= -1.5

the vertex => x = -1.5

y= -(-1.5)²-3(-1.5)+6 =

-2.25 +4.5+6= 8.25

4 0

2 years ago

WHAT IS 1+100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000=

Keith_Richards [23]

Answer:

100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,001

Step-by-step explanation:

Hope this helps!:)

7 0

3 years ago

Read 2 more answers

I need to find the range but I keep getting it wrong:(

Ahat [919]

Range is from the lowest y value on the graph to the highest y value. There are different ways of writing range, and the way you write it depends on your teacher.

I will show you the ways I know.
[-5,6]

-5 is less than or equal to 0 is less than or equal to 6

I hope this helps!

6 0

3 years ago