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19 Aug 2020, 03:47
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Forbs production in the year when forbs represented the largest percentage of herbaceous forage was more than 30% higher than the average forbs production.: True
The median production value for each of Grass, Forb, and Weed was greater than the corresponding average production.: False
The table shows a negative correlation between Grass production and Total Herbaceous Forage production over the years.: False
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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52% (03:05) correct
48%
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wrong
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The table shows estimates of herbaceous forage production in tons on the National Elk Refuge in Wyoming for 15 years from 1998 to 2012. Forage production measures the amount of food available to elk and bison during a growing season. Herbaceous forage includes vegetation such as grasses, forbs (nonwoody broad-leaved plants), and weeds.
For each of the following statements, select True if the information in the table accurately supports the statement. Otherwise, select Not true.
| Year | Grass | Forb | Weed | Total Herbaceous Forage |
|---|---|---|---|---|
| 1998 | 17,655 | 1,849 | 170 | 19,674 |
| 1999 | 13,904 | 1,924 | 0 | 15,828 |
| 2000 | 9,879 | 1,304 | 116 | 11,299 |
| 2001 | 7,641 | 1,353 | 65 | 9,059 |
| 2002 | 7,980 | 1,323 | 228 | 9,531 |
| 2003 | 5,185 | 1,007 | 218 | 6,410 |
| 2004 | 16,324 | 2,927 | 345 | 19,596 |
| 2005 | 15,881 | 2,011 | 98 | 17,990 |
| 2006 | 12,757 | 2,523 | 187 | 15,467 |
| 2007 | 10,019 | 1,310 | 45 | 11,374 |
| 2008 | 13,087 | 3,272 | 57 | 16,416 |
| 2009 | 15,100 | 2,524 | 11 | 17,635 |
| 2010 | 11,374 | 2,241 | 37 | 13,652 |
| 2011 | 15,677 | 2,226 | 4 | 17,907 |
| 2012 | 9,873 | 1,800 | 7 | 11,680 |
| Annual average | 12,156 | 2,126 | 106 | 14,388 |
For each of the following statements, select True if the information in the table accurately supports the statement. Otherwise, select Not true.
| True | False | |
| Forbs production in the year when forbs represented the largest percentage of herbaceous forage was more than 30% higher than the average forbs production. | ||
| The median production value for each of Grass, Forb, and Weed was greater than the corresponding average production. | ||
| The table shows a negative correlation between Grass production and Total Herbaceous Forage production over the years. |
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Official Answer
Forbs production in the year when forbs represented the largest percentage of herbaceous forage was more than 30% higher than the average forbs production.: True
The median production value for each of Grass, Forb, and Weed was greater than the corresponding average production.: False
The table shows a negative correlation between Grass production and Total Herbaceous Forage production over the years.: False
18 Nov 2024, 15:00
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Bunuel
Official Solution:
Statement 1:
Sort the table by Forbs production. Going through the data, we can easily notice that the year when forbs represented the largest percentage of herbaceous forage was 2008, with 3,272 tons, which was approximately 20%. All other years have a lower percentage. The 3,272 tons of forbs is approximately 50% more than the average of 2,126 for forbs. Therefore, this statement is True.
Statement 2:
The median value for 15 years is the 8th largest value. Sorting the table by Grass, Forb, and Weed production, we find that the medians were 12,757 tons, 1,924 tons, and 65 tons, respectively. Meanwhile, the averages for Grass, Forb, and Weed were 12,156 tons (less than the median), 2,126 tons (greater than the median), and 106 tons (greater than the median), respectively. Therefore, this statement is False.
Statement 3:
Two data sets are positively correlated if they both tend to be higher in the same cases. They are negatively correlated if one tends to be higher in cases where the other is lower. For positively correlated data, their lines tend to slope up or down together; the more consistently this happens, the stronger the positive correlation. Conversely, when two data sets are negatively correlated, the line for one tends to slope up while the other slopes down, and vice versa. The more consistently these opposite slopes occur, the stronger the negative correlation.
Examining Grass production and Total Herbaceous Forage production over the years, we observe that in most cases, when one increases, the other also increases. This indicates that, if anything, these data are positively correlated. Therefore, this statement is False.
Correct answer:
Forbs production in the year when forbs represented the largest percentage of herbaceous forage was more than 30% higher than the average forbs production. "True"
The median production value for each of Grass, Forb, and Weed was greater than the corresponding average production. "False"
The table shows a negative correlation between Grass production and Total Herbaceous Forage production over the years. "False"
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24 Dec 2024, 18:03
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1. Based on the information, we have to check whether the statements are true or false.
2. Forbs production in the year when forbs represented the largest percentage of herbaceous forage was more than 30% higher than the average forbs production. Forbs represented the largest percentage of herbaceous forage during 2008: \(\frac{3272}{16416} * 100\% = 19.93\%\). The production of forbs was greater than the annual average by \(\frac{3272 - 2126}{2126} * 100\% = 53.9\%\), which is more than 30%. So, this statement is true.
3. The median production value for each of Grass, Forb, and Weed was greater than the corresponding average production. The median for Weed is 65, while the average is 106. So, this statement is false.
4. The table shows a negative correlation between Grass production and Total Herbaceous Forage production over the years. Rather, whenever one value decreases or increases, the other does the same and vice versa. This means that they're positively correlated. So, this statement is false.
2. Forbs production in the year when forbs represented the largest percentage of herbaceous forage was more than 30% higher than the average forbs production. Forbs represented the largest percentage of herbaceous forage during 2008: \(\frac{3272}{16416} * 100\% = 19.93\%\). The production of forbs was greater than the annual average by \(\frac{3272 - 2126}{2126} * 100\% = 53.9\%\), which is more than 30%. So, this statement is true.
3. The median production value for each of Grass, Forb, and Weed was greater than the corresponding average production. The median for Weed is 65, while the average is 106. So, this statement is false.
4. The table shows a negative correlation between Grass production and Total Herbaceous Forage production over the years. Rather, whenever one value decreases or increases, the other does the same and vice versa. This means that they're positively correlated. So, this statement is false.
