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.a.The median annual wage estimate was $85,000 per year for these 15 architecture and engineering occupations. b.The modal class is 100 to 110 thousand dollars, with five occupations having salaries in that class. c.The shape of the distribution is skewed to the right. d.The modal annual wage estimate was $92,000 per year for these 15 architecture and engineering occupations.e.The annual wage of $108,000 was the largest wage estimate for architecture and engineering occupations in May 2014.

Answer 1

Answer:

The true statements are (b) and (e).

Step-by-step explanation:

The stem and left plot is represents that annual wage estimates, in thousands of dollars, for 15 select architecture and engineering occupations in May 2014.

(a)

The median of the data is the middle value of the data.

There are 15 observations in the stem-and-leaf plot.

The median observation is $=(\frac{n+1}{2})^{th}\ obs.$

The median value is:

$Median=(\frac{n+1}{2})^{th}\ obs.\\=(\frac{15+1}{2})^{th}\ obs.\\=8^{th}\ obs.\\=\ 92000$

The statement is False.

(b)

The modal class is the class consisting the highest number of observations.

According to the stem-and-leaf plot the class with the highest number of values is 100 to 110 thousand dollar.

The modal class is 100 to 110 thousand dollar.

The number of observations in the modal class is 5.

The statement is True.

(c)

In case of a right skewed distribution maximum data is collected towards the lower values and very few are towards the higher values.

According to the stem-and-leaf plot maximum data is collected towards the higher values.

So the shape of the distribution is skewed to the left.

The statement is False.

(d)

The mode of a data is the value with the highest frequency.

According to the stem-and-leaf plot the annual wage $85,000 have the highest frequency.

So the modal annual wage estimate was $85,000.

The statement is False.

(e)

According to the stem-and-leaf plot the largest wage estimate is $108,000.

The statement is True.