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PSYCHO15rus [73]
3 years ago
7

Someone please help me asap!

Mathematics
1 answer:
miskamm [114]3 years ago
3 0

I think the correct answer is C. because each if forming a right triangle when you trace it.

If i'm correct brainliest please

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Calculate the sample standard deviation and sample variance for the following frequency distribution of hourly wages for a sampl
lidiya [134]

Answer:

(a) The sample variance is 16.51

(a) The sample standard deviation is 4.06

Step-by-step explanation:

Given

\begin{array}{cc}{Class} & {Frequency} & 8.26 - 10.00 & 20 &10.01-11.75 & 38 &11.76 - 13.50& 36 & 13.51-15.25 &25&15.26-17.00 &27 &\ \end{array}

Solving (a); The sample variance.

First, calculate the class midpoints.

This is the mean of the intervals.

i.e.

x_1 = \frac{8.26+10.00}{2} = \frac{18.26}{2} = 9.13

x_2 = \frac{10.01+11.75}{2} = \frac{21.76}{2} = 10.88

x_3 = \frac{11.76+13.50}{2} = \frac{25.26}{2} = 12.63

x_4 = \frac{13.51+15.25}{2} = \frac{28.76}{2} = 14.38

x_5 = \frac{15.26+17.00}{2} = \frac{32.26}{2} = 16.13

So, the table becomes:

\begin{array}{ccc}{Class} & {Frequency} & {x} & 8.26 - 10.00 & 20&9.13 &10.01-11.75 & 38 &10.88&11.76 - 13.50& 36 &12.63& 13.51-15.25 &25&14.38&15.26-17.00 &27 &16.13\ \end{array}

Next, calculate the mean

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

\bar x = \frac{20*9.13 + 38 * 10.88+36*12.63+25*14.38+27*16.13}{20+38+36+25+27}

\bar x = \frac{1845.73}{146}

\bar x = 12.64

Next, the sample variance is:

\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f - 1}

So, we have:

\sigma^2 = \frac{20*(9.13-12.63)^2 + 38 * (10.88-12.63)^2 +...........+27 * (16.13 -12.63)^2}{20+38+36+25+27-1}

\sigma^2 = \frac{2393.6875}{145}

\sigma^2 = 16.51

The sample standard deviation is:

\sigma = \sqrt{\sigma^2}

\sigma = \sqrt{16.51}

\sigma = 4.06

6 0
2 years ago
Kirsten and Molly are on a 3-day bike ride. The entire route is 156 miles. On the first day they biked 64 miles, and on the seco
timama [110]
The distance that Kirsten and Molly need to bike on their third day is obtained by subtracting the sum of the distances they have traveled after two days from the length of the entire route.
 
                      distance left = 156 miles - (64 miles + 45 miles)
                                            = 47 miles
Thus, Kirsten and Molly need to bike 47 miles on their third day. 
3 0
3 years ago
How Do You Write The Expression For Triple 9 Then Multiply 8
Kitty [74]
9^3 x 8 is the answer I believe
8 0
3 years ago
Presence of the activity in this illustration is an example of how a country’s government can be shaped by
katen-ka-za [31]

Answer:

c or d but i think d

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help me answer this question please
valentina_108 [34]
The median is 10.5 because its the middle line in the box and all you have to do is look at it and you can see it
8 0
3 years ago
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