1. The average number of hours that people of Brazil spend per month on social networking sites is nearly double the worldwide average, drawing the attention of social media companies. The following data represent the number of hours that a sample of people from Brazil spent on a social networking site last month. Complete parts a through f.

1.2 1.8 2.9 12.2 8.1 13.4 40.6 1.2 12.9

A) Calculate the mean.

The mean is_______

.( integer or decimal rounded to two decimal places as needed.)

B) Calculate the median.

The median is _______

(n integer or a decimal. Do not round.)

C) Calculate the mode.

Determine the mode. Select the correct choice below and, if necessary, fill in the answer box to choose.

a. The mode(s) is/are___________

( integer or a decimal. Do not round. Use a comma to separate answers as needed.)

b. The mode does not exist.

D) Which of these three measurements would best describe the central tendency of the data? Choose the correct answer below.

a. Mode

b. Mean

c. Median

E) Describe the shape of the distribution.

This distribution is__________because the mean is__________the median.

right-skewed greater than

left-skewed equal to

not skewed less than

2. The following data represent the number of touchdown passes thrown by a particular quarterback during his first 18 seasons. Verify that Chebyshev's Theorem holds true by determining the percent of observations that fall within plus or minus one, two, and three standard deviations from the mean.

1 15 15 32 36 40 32 35 25

20 30 29 30 31 20 17 29 23

What is the mean of the data?

-

x= (integer or decimal rounded to two decimal places as needed.)

What is the standard deviation of the data set?

s= (Round to two decimal places as needed.)

_

Calculate the interval x+s (Round to two decimal places as needed. Answer in interval notation.) _

What percentage of the data values fall within the interval

-

x+s?

_

The percentage of data values that fall within the interval is ______%

(Round to the nearest percent as needed.)

Calculate the interval

-

x+ s 2s=

That percentage of data values that fall within the interval is

_______% (Round to the nearest percent as needed.)

-

calculate the interval - +

x _ 3s

(Round to two decimal places as needed Answer in interval notation.)

What percentage of the data values fall within the interval?

What percentage of the data values fall within the interval

x overbar

plus or minus3s?

That percentage of data values that fall within the interval is

_______%

(Round to the nearest percent as needed.)

Do these percentages agree with Chebyshev's Theorem?

A. All the percentages agree with Chebyshev's Theorem.

_

B. The percentage for x+3s does not agree with Chebyshev'sTheorem.

_

_

C.The percentage for x+2soverbar plus or minus2s does not agree with Chebyshev's Theorem. _

D.None of the percentages agrees with Chebyshev's Theorem.