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katovenus [111]
3 years ago
5

What is the standard deviation of the following data? 52 61 31 44 47 45 25 48 47

Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0
Standard deviation is calculated by
1. calculate mean, m
2. calculate deviation of EACH entry of data set from the mean, i.e.
d=(x-m)
3. calculate mean of square of deviations (d^2)/n to get variance,v
4. take square-root of variance to get standard deviation.

For example,
To find the standard deviation of data set {3,7,8}
1. mean=(3+7+8)/3=6
2. deviations, di={3-6,7-6,8-6}={-3,1,2}
3. squares of deviations, di^2={9,1,4}
4. mean of squares of deviations=(9+1+4)/3=14/3
Standard deviation=sqrt(14/3)=2.16

For the given data set, if you follow the above steps, you would get
sum=400
mean=400/9
variance (mean square of deviations)=8246/81
standard deviation=sqrt(8246/81)=sqrt(8246)/9


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6 0
3 years ago
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What is the answer 5x² – 33x - 14 = 0​
KatRina [158]

Answer:

X=-2/5,7

Step-by-step explanation:

5x² – 33x - 14 = 0​

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8 0
3 years ago
Which of the following expressions could be interpreted as "a number times negative seven added to five equals two"?
masha68 [24]

Answer:

5-7 x = 2

Step-by-step explanation:

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7 0
3 years ago
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Im lost please help me
zepelin [54]
Let C = the Chinese books.
Let E = the English language books.

C = 4/5 E

E - 300 = C - 180 Notice how you get this equation. You take 300 away from the English books and 180 from the Chinese and according to the question, you get an equal number of both. Put c = 4/5E into the second equation.

E - 300 = 4/5 E - 180 Add 300 to both sides.
E = 4/5 E - 180 + 300
E = 4/5 E + 120 Now subtract 4/5 E from both sidies.
E - 4/5 E = 120
1/5 E = 120 Now multiply by 5
E = 120 * 5
E = 600

So the number of books are
600 written in English
4/5 of 600 = 2400 /5 = 480 Chinese books.

English 600
Chinese 480
6 0
3 years ago
Is p = 3 a solution to this equation? 4 p = 24
Blizzard [7]

Answer:

Hi there!

Your answer is:

No, p= 3 is <u>not</u> a solution for this equation!

Step-by-step explanation:

4(3) = 24 ???

4×3 = 24?

12 = 24??

NO. 12 does <u>NOT</u> equal 24!

Hope this helps

7 0
3 years ago
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