Identify the five-number summary and determine the interquartile range.

$$362,589,437,316,192,188$$

Identify the five-number summary and determine the interquartile range.

$$147,243,156,632,543,303$$

The following information provides the wait times (in minutes) for 25 students at a university's student health center.

$$\begin{array}{lllllllllllll} 39 & 19 & 19 & 35 & 18 & 32 & 20 & 15 & 20 & 29 & 25 & 32 & 28 \\ 19 & 42 & 18 & 32 & 31 & 21 & 46 & 27 & 13 & 14 & 15 & 28 & \end{array}$$

For these data, create a dotplot.

Average Weekly Earnings The average weekly earnings in dollars for various industries are listed below. Find the percentile rank of each value. \

$$\begin{array}{lllllllll}804 & 736 & 659 & 489 & 777 & 623 & 597 & 524 & 228\end{array}$$

For the same data, what value corresponds to the $40$th percentile?

Check each data set for outliers.

a. $14,18,27,26,19,13,5,25$ b. $112,157,192,116,153,129,131$

Taxes The data for a recent year show the taxes (in millions of dollars) received from a random sample of $10$ states. Find the first and third quartiles and the IQR. \

$$\begin{array}{llllllllll}13 & 15 & 32 & 36 & 11 & 24 & 6 & 25 & 11 & 71\end{array}$$

Check each data set for outliers.

a. $88,72,97,84,86,85,100$ b. $145,119,122,118,125,116$ c. $14,16,27,18,13,19,36,15,20$

Annual Miles Driven The average miles driven annually per licensed driver in the United States is approximately $14,090$ miles. If we assume a fairly mound-shaped distribution with a standard deviation of approximately $3500$ miles, find the following:
$z$ score for $16,000$ miles

Annual Miles Driven The average miles driven annually per licensed driver in the United States is approximately $14,090$ miles. If we assume a fairly mound-shaped distribution with a standard deviation of approximately $3500$ miles, find the following:
$z$ score for $10,000$ miles

Check each data set for outliers.

a. $16,18,22,19,3,21,17,20$ b. $24,32,54,31,16,18,19,14,17,20$ c. $321,343,350,327,200$

Eleven major earthquakes had Richter magnitudes as shown. Find the first and third quartiles for the data.

$$7.0,6.2,7.7,8.0,6.4,6.2,7.2,5.4,6.4,6.5,7.2$$

The data show the population (in thousands) for a recent year of a sample of cities in South Carolina. \

$$\begin{array}{rrrrr}29 & 26 & 15 & 13 & 17 \\ 14 & 25 & 37 & 19 & 40 \\ 23 & 10 & 97 & 12 & 129 \\ 27 & 20 & 18 & 120 & 35 \\ 66 & 21 & 11 & 43 & 22\end{array}$$

Find the data value that corresponds to each percentile.
$30$th percentile

The data show the population (in thousands) for a recent year of a sample of cities in South Carolina. \

$$\begin{array}{rrrrr}29 & 26 & 15 & 13 & 17 \\ 14 & 25 & 37 & 19 & 40 \\ 23 & 10 & 97 & 12 & 129 \\ 27 & 20 & 18 & 120 & 35 \\ 66 & 21 & 11 & 43 & 22\end{array}$$

Find the data value that corresponds to each percentile.
$40$th percentile

A random selection of state gasoline taxes per gallon is given below. Find the first and third quartile values for the data.

$$\begin{array}{lllllllll}16 & 18 & 35.3 & 25 & 23.5 & 27.1 & 32.5 & 16 & 22\end{array}$$

$$\begin{array}{lllll}17.5 & 19 & 29.5 & 7.5 & 12\end{array}$$