The table shows the number of U.S. workers 25 years and older in terms

Question

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The table shows the number of U.S. workers 25 years and older in terms of their level of education for the years 2006 and 2010, as well as the median earnings of these workers for the years 2006 to 2010.

Number (In thousand)       Median Earnings (in 2010 Dollars)       Group, by Educational Attainment    2006    2010    2006    2007    2008    2009    2010     Less than 9th grade  1596  1417  15632  15220  13760  14187  13509    9th to 12th grade, nongraduate  3219  2615  16396  16166  14893  15934  15650    High school graduate  17751  16165  23368  23510  22580  22839  22452    Some college, no degree  11557  11301  28407  28574  26778  27276  26615    Associate's degree  7071  7774  31459  32126  31255  31103  31537    Bachelor's degree or more  21219  23096  45156  44554  44927  45224  45232     ( Sort ↕  the table by clicking on the headers)

For each of the following statements, select Yes if the statement can be shown to be true based on the information in the table. Otherwise, select No.

T4Star · Answer

Stat1: No. Comparison of workers in categories Some college, no degree' and 'Bachelor's degree or more'
Clearly latter category has more numbers in 2010

Stat2: Yes. Only 4 out of 6 groups are seeing a decline in median earnings between 2006 and 2010. Probability = 4/6 = 66.67% < 70%

Stat3: Yes. Ballpark calculations. % change for highschool grads = ~1600/17700 = 1/11
% change for bachelor degree holders = ~1850/21200 = ~1/12
Thus highscool grads saw a greater % change

Deepa444 · Answer

Sajjad1994  how do we get the 1st and 3rd ans ?

Sajjad1994 · Answer

Official Explanation

Statement 1:  You do not need to re-sort the table for any of the statements in this set. Regarding the first statement, the figures are as follows: The number of workers with a bachelor’s degree or more in 2010 was 23,096. The number of workers in the  “Less than 9th grade”  category was 1,417, in the  “9th to 12th grade, nongraduate”  category it was 2,615, and in the  “High school graduate”  category it was 16,165. These figures add up to 20,197, but you could also see that their sum would be less than 23,000 without calculating precisely. In any event, the statement is false.

Answer: No

Statement 2:  Four of the six groups had a lower median earnings figure in 2010 than in 2006. Therefore, the probability that a group’s median earnings decreased between 2006 and 2010 is 67%, which is lower than 70%.

Answer: Yes

Statement 3:  You do not need to calculate the percentage change for each group. Rather, calculate this change for the  “High school graduate”  group and then try to find one other group that may have had a greater change. In 2006, 17,751 earners were in the  “High school graduate”  category; in 2010, that figure was 16,165. The percentage change was:

\frac{17751-16165}{17751} (100%)=8.93%

The  “9th to 12th grade”  group seems as though it may have experienced a greater percentage change between 2006 and 2010: the numerical change is certainly smaller than that for high school graduates, but the initial number is considerably smaller. For  “9th to 12th graders”,  the percentage change was:

\frac{3219-2615}{3219} (100%)=18.76%

This is a significantly greater percentage change, so the statement is false.

Answer: No

Gemmie · Answer

In 2010, more workers had not attended college as workers had a bachelor’s degree or more. => No

In 2010
- Bachelor degree: 23.1 (thousands)
- [<9 grade] + [9-12 grade] + [high school graduate]: 1.4 + 2.6 + 16.1 = 20.1

The probability that a group’s median earnings decreased between 2006 and 2010 is lower than 70%. => Yes

Those experiencing decrease btw 2006 and 2010

< 9 grade:
9-12 grade:
high school graduate:
some collgee

=> 4/6 groups = 66.67% < 70%

The group that experienced the greatest percentage change (increase or decrease) in number of earners between 2006 and 2010 was the “High school graduate” group. => No

% change for high school graduate group: ~9% decrease (\(\frac{16,165}{17,751} = 0.91\))

% change for 9-12 grade group: 19% decrease (\(\frac{2,615}{3,219} = 0.81\))

bumpbot · Answer

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The table shows the number of U.S. workers 25 years and older in terms

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Group, by Educational Attainment	2006	2010	2006	2007	2008	2009	2010
	Number (In thousand)		Median Earnings (in 2010 Dollars)
Less than 9th grade	1596	1417	15632	15220	13760	14187	13509
9th to 12th grade, nongraduate	3219	2615	16396	16166	14893	15934	15650
High school graduate	17751	16165	23368	23510	22580	22839	22452
Some college, no degree	11557	11301	28407	28574	26778	27276	26615
Associate's degree	7071	7774	31459	32126	31255	31103	31537
Bachelor's degree or more	21219	23096	45156	44554	44927	45224	45232

Yes	No
		In 2010, more workers had not attended college as workers had a bachelor’s degree or more.
		The probability that a group’s median earnings decreased between 2006 and 2010 is lower than 70%.
		The group that experienced the greatest percentage change (increase or decrease) in number of earners between 2006 and 2010 was the “High school graduate” group.

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The table shows the number of U.S. workers 25 years and older in terms

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