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Updated on: 02 Dec 2023, 07:27
Originally posted by Sajjad1994 on 08 Mar 2021, 07:30.
Last edited by BottomJee on 02 Dec 2023, 07:27, edited 5 times in total.
Last edited by BottomJee on 02 Dec 2023, 07:27, edited 5 times in total.
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Dropdown 1: greater than
Dropdown 2: More than
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
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57% (02:03) correct
43%
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wrong
based on 1399
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Using the graph, please answer the questions that follow.
1. The median sales figure for the month of June was $1600.
2. half of the shop's sales revenue came on days when the high temperature was greater than 75 degrees.
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Official Answer
Dropdown 1: greater than
Dropdown 2: More than
30 Mar 2021, 01:07
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Official Explanation
Greater than. Here it's important to recognize that the median of a 30-day month will be the average of the 15th and 16th values. If you count up the data points below the $1600 line you'll see that you don't have 15, meaning that the median value will be above $1600.
More than. Here you can use Relative Math to avoid doing any real work. Since about half of the data points are to the right of the 75-degree line and those data points are generally those that represent greater totals, those data points will account for much more than half of the total sales revenue.
75%. There are 12 days for which the sales total was less than $1500, and 9 of them are to the left of the 70-degree line, making the answer 75%.
Greater than. Here it's important to recognize that the median of a 30-day month will be the average of the 15th and 16th values. If you count up the data points below the $1600 line you'll see that you don't have 15, meaning that the median value will be above $1600.
More than. Here you can use Relative Math to avoid doing any real work. Since about half of the data points are to the right of the 75-degree line and those data points are generally those that represent greater totals, those data points will account for much more than half of the total sales revenue.
75%. There are 12 days for which the sales total was less than $1500, and 9 of them are to the left of the 70-degree line, making the answer 75%.
General Discussion
08 Mar 2021, 10:46
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1) The median sales figure for the month of June was more than $1600.
There are a total of 28 points and the median has to be the \(\frac{14th point+15th point}{2}\) which is \(\frac{~1500$ + ~1750$}{2} = 1625$\). Therefore the OA is A.
2) More than half of the shop's sales revenue came on days when the high temperature was greater than 75 degrees.
Well after completing the set I did calculate just to be sure of what I did was correct, but the OA has to be A, you can see on the graph that as we cross 75 degrees, barring one point most of the other points are above $1700.
3) Days on which the high temperature was less than 70 degrees accounted for approximately 90% of the days for which sales failed to exceed $1500.
If you check the points before 70 degrees, you will find that all the 9 points are below 1500$. Therefore, the OA is C.
There are a total of 28 points and the median has to be the \(\frac{14th point+15th point}{2}\) which is \(\frac{~1500$ + ~1750$}{2} = 1625$\). Therefore the OA is A.
2) More than half of the shop's sales revenue came on days when the high temperature was greater than 75 degrees.
Well after completing the set I did calculate just to be sure of what I did was correct, but the OA has to be A, you can see on the graph that as we cross 75 degrees, barring one point most of the other points are above $1700.
3) Days on which the high temperature was less than 70 degrees accounted for approximately 90% of the days for which sales failed to exceed $1500.
If you check the points before 70 degrees, you will find that all the 9 points are below 1500$. Therefore, the OA is C.
