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ehidna [41]
3 years ago
12

How do u find the mean

Mathematics
2 answers:
dusya [7]3 years ago
7 0
You add all the numbers & divide it by how many numbers 8 +9+9+9+10+10
alexgriva [62]3 years ago
7 0

<em>Answer,</em>

<em>The mean is the average of the numbers.  It's quite simple to find the mean. All you do is, add all the numbers togter & divide by how many numbers there are.</em><em><u> In simpler words, it is the sum divided by the count.</u></em>

<em>I'm not sure if you are trying to find the mean for only one row or all the rows together but, I will show you how to do it for all the numbers. </em>

<em>The mean of the numbers is, </em><em>12.47619047619.</em>

<em>Explanation, </em><em>8+9+9+9+10+10+11+11+12+12+12+12+13+13+13+14+14+15+15+16+24= 262.</em>

<em>Then we divide </em><em>262</em><em> by how many numbers there are, </em><em>21</em><em>. Then we get </em><em>12.47619047619.</em>


<em><u>Hope this helps :-)</u></em>



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(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942  

(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978  

And the 90% confidence interval would be given (0.0942;0.09978).  

We are confident at 90% that the difference between the two proportions is between 0.0942 \leq p_A -p_B \leq 0.09978

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p_A represent the real population proportion female for Biology

\hat p_A =\frac{84199}{144796}=0.582 represent the estimated proportion female for biology

n_A=144796 is the sample size for A

p_B represent the real population proportion female for calculus AB

\hat p_B =\frac{102598}{211693}=0.485 represent the estimated proportion female for Calculus AB

n_B=211693 is the sample size required for B

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}  

For the 90% confidence interval the value of \alpha=1-0.90=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.64  

And replacing into the confidence interval formula we got:  

(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942  

(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978  

And the 90% confidence interval would be given (0.0942;0.09978).  

We are confident at 90% that the difference between the two proportions is between 0.0942 \leq p_A -p_B \leq 0.09978

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Hope this help Have a great day.
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