12. Make a box-and-whisker plot of the data. (1 point)
1 answer:
The box-and-whisker plot of the data, showing the five-number summary, is shown in the image atatched below.
<h3>What is the Box-and-whisker Plot?</h3>The box-and-whisker plot is a plot that displays the minimum, maximum, median, lower and upper quartile of a data, which is termed as the five-number summary of a data.
Given the data, 20, 23, 28, 14, 13, 24, 18, 11, find the five-number summary:
- Minimum - 11
- Lower Quartile - 13.5
- Median - 19
- Upper Qaurtile - 23.5
- Maximum - 28
Therefore, the box-and-whisker plot of the data, showing the five-number summary, is shown in the image atatched below.
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Answer:
And if we solve for a we got
Step-by-step explanation:
Let X the random variable that represent the lenght time it takes to find a parking space at 9AM of a population, and for this case we know the distribution for X is given by:
Where and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
As we can see on the figure attached the z value that satisfy the condition with 0.7 of the area on the left and 0.3 of the area on the right it's z=0.524
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got