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slega [8]
3 years ago
7

10. Which statement about the data is true? 114, 216, 246, 220, 111, 234, 121, 179

Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0
Right away, mode is not applicable because mode entails the repetition of the same number. No numbers are repeated here.

To find median, you must put the numbers in numerical order. You should get 
111, 114, 121, 179, 216, 220, 234, 246

Next, find the middle. In this case, the middle is split between 179 and 216. To find the median, add 179 and 216 then divide by two. You should get 197.5.

To find the mean, add all the numbers then divide by the number of numbers present (in this case there are 8 numbers). You should get 180.125. 

Because the median and mean are off, it is safe to say A is the correct choice.
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4 years ago
F(x) = 2x – 1 g(x) = 7x – 12 What is h(x) = f(x) + g(x)?
WINSTONCH [101]

Answer:

<h2><em>h</em><em>(</em><em>x</em><em>)</em><em>=</em><em>9</em><em>x</em><em>-</em><em>1</em><em>3</em></h2>

<em>Sol</em><em>ution</em><em>,</em>

<em>h(x) = f(x) + g(x) \\  \:  \:  \:  \:  \:  \:  \:  = 2x - 1 + 7x - 12 \\  \:  \:  \:  \:  \:  \:  = 2x + 7x - 1 - 12 \\  \:  \:  \:  \:  \:  \:  = 9x - 13</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

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4 0
3 years ago
Read 2 more answers
Here are summary statistics for randomly selected weights of newborn​ girls: nequals=174174​, x overbarxequals=30.930.9 ​hg, seq
MaRussiya [10]

Answer:

The 95% confidence interval would be given by (29.780;32.020)  

Step-by-step explanation:

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".

\bar X=30.9 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=7.5 represent the sample standard deviation

n=174 represent the sample size  

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=174-1=173

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,173)".And we see that t_{\alpha/2}=1.97, this value is similar to the obtained with the normal standard distribution since the sample size is large to approximate the t distribution with the normal distribution.  

Now we have everything in order to replace into formula (1):

30.9-1.97\frac{7.5}{\sqrt{174}}=29.780    

30.9+1.97\frac{7.5}{\sqrt{174}}=32.020

So on this case the 95% confidence interval would be given by (29.780;32.020)    

The value 29.6 is not contained on the interval calculated.

5 0
3 years ago
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