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zmey [24]
3 years ago
10

Which box-and-whisker plot represents the data?

Mathematics
1 answer:
algol [13]3 years ago
4 0
Step 1: arrange the data points in order 
12 14 24 30 35 40 42 50 53 Step 2 : Find the median. 
median is 35. Step 3. divide the data points into two : left and right 
of median

12 14 24 30 and 40 42 50 53 
Step 4: find median of each12 14 24 30 : (14+24)/2 = 1940 42 50 53 : (42+50)/2 = 46
step 5. draw lines on the scale on the median, two other 
medians and least and the greatest value
Answer is B.
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Mark knows the expression 24 + 4x can be rewritten as 4(6 + 4) x he claims that four is the only whole number greater than one t
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If a hurricane was headed your way, would you evacuate? The headline of a press release states, "Thirty-four Percent of People o
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Step-by-step explanation:

1) Notation and definitions

X=63 number of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states

n=6138 random sample taken

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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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

2) Confidence interval

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 98% of confidence, our significance level would be given by \alpha=1-0.98=0.02 and \alpha/2 =0.01. And the critical value would be given by:

z_{\alpha/2}=-2.33, z_{1-\alpha/2}=2.33

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

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.34 - 2.33\sqrt{\frac{0.34(1-0.34)}{6138}}=0.326

0.34 + 2.33\sqrt{\frac{0.34(1-0.34)}{6138}}=0.354

The 98% confidence interval would be given by (0.326;0.354)

8 0
3 years ago
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