The Bureau of Labor Statistics (BLS) collects data regarding occupational employ

Question

The Bureau of Labor Statistics (BLS) collects data regarding occupational employment and wage estimates in the United States. The stem-and-leaf plot below represents the annual wage estimates, in thousands of dollars, for 15 select architecture and engineering occupations in May 2014. 6 0 5 7 5 10 0 1 4 5 8 4 5 8 Leaf Unit = $ 1 000 Identify all of the true statements regarding the given data The median annual wage estimate was $85,000 per year for these 15 architecture and engineering occupations. The modal class is 100 to 110 thousand dollars, with five occupations having salaries in that class. The shape of the distribution is skewed to the right. The modal annual wage estimate was $92,000 per year for these 15 architecture and engineering occupations The annual wage of $108,000 was the largest wage estimate for architecture and engineering occupations in May 2014.

Explanation / Answer

Answer

The stem and leaf plot of annual wage estimates , in thousand of dollars, for 15 select architecture and engineering occupations in May 2014 is given as,

6 | 0 5

7 | 5

8 | 5 5 6

9 | 1 2 6 9

10 | 0 1 4 5 8

Leaf Unit=$1000

So we can write the data as (in thousand dollars)

60 , 65 , 75 , 85 , 85 , 86 , 91 , 92 , 96 , 99 , 100 , 101 , 104 , 105 , 108

So here we are clearly see from the data the median annual wage is the 8 th observation $92000 and the modal annual wage (observation with highest frequency) is $85000. On the other hand the maximum observation is $108000 and from the stem and leaf plot we see that, the modal class is the last class which is 100 to 110 thousand dollars. Also note that there are less observations for smaller values and more observations are at higher values (in fact at the right tail) . So this distribution is of course skewed to the left.

Hence based on this outcomes we choose the right statements as the 2nd and 5th statement which are

The modal class is 100 to 110 thousand dollars, with five occupations having salaries in that class.

The annual wage of $108000 was the largest wage estimate for architecture and engineering occupations in May 2014.

Hence the answer..............

Thank you............

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