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vodka [1.7K]
3 years ago
11

Help me find Sample variance and standard deviation

Mathematics
1 answer:
AnnZ [28]3 years ago
5 0
First, find the mean. You'll need it to compute the variance.

\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11

The variance of the sample is then computed with the formula

s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5

The standard deviation is the square root of the variance, so

s=\sqrt{35.5}\approx5.958
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Just help please need to pass
Anni [7]

Answer: \frac{1}{10}

Step-by-step explanation:

First, we need to find the common denominator

The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.

2 × 5 = 10

So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:

\frac{3*2}{5*2} = \frac{6}{10}         We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.

Do the same thing for the other one:

\frac{1*5}{2*5} = \frac{5}{10}

Finally, subtract the two fractions to find the difference between the two times:

\frac{6}{10} -\frac{5}{10} = \frac{1}{10}

The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.

7 0
2 years ago
Read 2 more answers
NEED HELP NOW! SOLVE THE INEQUALITY: -r/3 ≤ 6
larisa [96]

Answer:

r\geq -18

Step-by-step explanation:

\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}

Hope this helps!

5 0
2 years ago
A red ant travels 9/8 inches in 3/4 minutes and 3 3/8 inches in 2 1/4 minutes what is the ants speed in inches per minute? What
I am Lyosha [343]

Answer:

1. 1.5 inches per minute

2. 90 inches per hour

Step-by-step explanation:

speed = \frac{distance}{time}

1. total distance covered = \frac{9}{8} + \frac{27}{8}

                                      = \frac{9+27}{8}

                                      = \frac{36}{8}

                                      = 4\frac{1}{2} inches

Total time taken = \frac{3}{4} + \frac{9}{4}

                           = \frac{3 +9}{4}

                           = \frac{12}{4}

                           = 3 minutes

The ants average speed = \frac{4.5}{3}

                                         = 1\frac{1}{2}

                                         = 1.5

The ants speed is 1\frac{1}{2} inches per minute.

2. Since;

60 minutes = 1 hour

3 minutes = x hours

x = \frac{3}{60}

  = \frac{1}{60}

  = 0.05 hours

Speed = \frac{4.5}{0.05}

           = 90 inches per hour

The red ants speed is 90 inches per hour.

3 0
2 years ago
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select ALL of the true statements.
Anna007 [38]

Answer:

Segment EF is twice as long as segment AB.

The length of segment EH is 16 units.

Step-by-step explanation:

its

8 0
3 years ago
Find the quotient.<br><br> n7 divided by n3
bogdanovich [222]
The answer is n^4. This is calculated by just subtracting the exponents. Hope this was what you were asking.
8 0
3 years ago
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