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16 Oct 2023, 09:12
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The three smallest provinces by area are each below the median in population.: No
The province with the median population growth rate is also the province with the median area.: Yes
No province is above the median in growth rate, population, and land area.: No
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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The table shows the population growth rate (in percent per year), the total population, and the total land area of the eleven provinces of Nation X.
For each of the following statements, select Yes if the statement is true based on the information presented in the table. Otherwise, select No.
| Province | Population growth rate | Population | Land area (sq. km) |
|---|---|---|---|
| Agae | 1.55 | 156118 | 144 |
| Bai | 1.17 | 201103 | 8515 |
| Oa | 0.49 | 1330141 | 9597 |
| Ida | 1.38 | 1173108 | 3287 |
| Idni | 1.1 | 242968 | 1905 |
| Jan | -0.24 | 126804 | 378 |
| Mio | 1.12 | 112469 | 1964 |
| Ngi | 1.97 | 152217 | 924 |
| Pitan | 1.59 | 184405 | 796 |
| Ri | -0.47 | 139390 | 17098 |
| Utestan | 0.97 | 310233 | 9826 |
For each of the following statements, select Yes if the statement is true based on the information presented in the table. Otherwise, select No.
| Yes | No | |
| The three smallest provinces by area are each below the median in population. | ||
| The province with the median population growth rate is also the province with the median area. | ||
| No province is above the median in growth rate, population, and land area. |
ShowHide Answer
Official Answer
The three smallest provinces by area are each below the median in population.: No
The province with the median population growth rate is also the province with the median area.: Yes
No province is above the median in growth rate, population, and land area.: No
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16 Oct 2023, 11:52
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The three smallest provinces by area are each below the median in population.
To find the answer for this statement let's first find the median in population.
To find the median, we can sort by population and find the middle value in the population column. Since there are 11 provinces, the 6th value in the Population column will be the median.
Now, one pitfall in this case is that the table includes both a Population growth rate column and a Population column. So, we have to be careful to avoid this trap and sort by the Population column rather than the Population growth rate column.
Having sorted the Population column, we count to the 6th value and find that it's 184405.
Now, to determine whether the three smallest provinces by area are each below the median in population, we'll find the three smallest provinces by area by sorting the Land area column.
We see that the smallest provinces by area are Agae, Jan, and Pitan.
The populations of those provinces are 156118, 126804, and 184405 respectively. Since Pitan's population is 184405, which is the median, it is not true that the three smallest provinces by area are each below the median in population.
Select No.
The province with the median population growth rate is also the province with the median area.
To find the answer for this statement, we can simply first find the province with the median population growth rate and then find the province with the median area and see whether they are they same one.
To find the province with the median population growth rate, we sort by Population growth rate and then count down the provinces column to the middle province, which will be the 6th province since 6 is the middle value among 11 values.
Doing so, we find that the province with the median population growth rate is Mio.
Then, to find the province with the median area, we sort by Land area and find the province associated with the median, or 6th, value again.
Doing so, we find that the province with the median area is Mio.
We see that, Mio, the province with the median population growth rate is also the province with the median area.
Select Yes.
No province is above the median in growth rate, population, and land area.
To find the answer for this statement, we'll sort by Population growth rate, then Population, and finally Land area and see whether any province is above the median in all three metrics.
In each case, a province that is above the median will be associated with one of the greatest five values in the sorted column, since values above the 6th value are above the median when there are 11 values.
The trap we have to be careful of here is to see that we don't need to find whether a province is literally physically above the median in a column. We are checking to see whether the median values associated with provinces are greater than the median in a column.
Sorting by Population growth rate, we find that the following provinces are above the median:
Bai
Ida
Agae
Pitan
Ngi
Sorting by Population, we find that the following provinces are above the median:
Bai
Idni
Utestan
Ida
Oa
Sorting by Land area, we find that the following provinces are above the median:
Ida
Bai
Oa
Utestan
Ri
We see that, in all three cases, Bai and Ida are above the median.
Thus, it is not true that no province is above the median in growth rate, population, and land area.
Select No.
Correct Answer
To find the answer for this statement let's first find the median in population.
To find the median, we can sort by population and find the middle value in the population column. Since there are 11 provinces, the 6th value in the Population column will be the median.
Now, one pitfall in this case is that the table includes both a Population growth rate column and a Population column. So, we have to be careful to avoid this trap and sort by the Population column rather than the Population growth rate column.
Having sorted the Population column, we count to the 6th value and find that it's 184405.
Now, to determine whether the three smallest provinces by area are each below the median in population, we'll find the three smallest provinces by area by sorting the Land area column.
We see that the smallest provinces by area are Agae, Jan, and Pitan.
The populations of those provinces are 156118, 126804, and 184405 respectively. Since Pitan's population is 184405, which is the median, it is not true that the three smallest provinces by area are each below the median in population.
Select No.
The province with the median population growth rate is also the province with the median area.
To find the answer for this statement, we can simply first find the province with the median population growth rate and then find the province with the median area and see whether they are they same one.
To find the province with the median population growth rate, we sort by Population growth rate and then count down the provinces column to the middle province, which will be the 6th province since 6 is the middle value among 11 values.
Doing so, we find that the province with the median population growth rate is Mio.
Then, to find the province with the median area, we sort by Land area and find the province associated with the median, or 6th, value again.
Doing so, we find that the province with the median area is Mio.
We see that, Mio, the province with the median population growth rate is also the province with the median area.
Select Yes.
No province is above the median in growth rate, population, and land area.
To find the answer for this statement, we'll sort by Population growth rate, then Population, and finally Land area and see whether any province is above the median in all three metrics.
In each case, a province that is above the median will be associated with one of the greatest five values in the sorted column, since values above the 6th value are above the median when there are 11 values.
The trap we have to be careful of here is to see that we don't need to find whether a province is literally physically above the median in a column. We are checking to see whether the median values associated with provinces are greater than the median in a column.
Sorting by Population growth rate, we find that the following provinces are above the median:
Bai
Ida
Agae
Pitan
Ngi
Sorting by Population, we find that the following provinces are above the median:
Bai
Idni
Utestan
Ida
Oa
Sorting by Land area, we find that the following provinces are above the median:
Ida
Bai
Oa
Utestan
Ri
We see that, in all three cases, Bai and Ida are above the median.
Thus, it is not true that no province is above the median in growth rate, population, and land area.
Select No.
Correct Answer
No, Yes, No
General Discussion
09 Apr 2024, 00:03
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parkhydel
All the question needs is sorting of the tables but one must be careful while doing it.
Here is the process:
The three smallest provinces by area are each below the median in population.
Sort by "Population". This is what it looks like. One province with third smallest area is at the median.
Attachment:
Screenshot 2024-04-09 at 12.13.54 PM.png [ 97.44 KiB | Viewed 15346 times ]
The province with the median population growth rate is also the province with the median area.
Sort by population growth. Identify "Mio" as that area which is the median (in the centre)
Now sort by area. Mio is still the median.
Attachment:
Screenshot 2024-04-09 at 12.16.25 PM.png [ 262.22 KiB | Viewed 14426 times ]
No province is above the median in growth rate, population, and land area.
Sort by all 3 one by one. First by population growth. Write down Ngi, Pitan, Agae, Ida, Bai
Next by Population. Tick Ida and Bai on your list since they are here too.
Next by area. Tick Ida and Bai again since they are here too.
Attachment:
Screenshot 2024-04-09 at 12.21.00 PM.png [ 357.33 KiB | Viewed 14090 times ]
ANSWER: NO
