Exam 2: Organizing Data

Use cutpoint grouping to organize these data into a frequency distribution. -A medical research team studied the ages of patients who had strokes caused by stress. The ages of 34 patients who suffered stress strokes were as follows. 293036414550576128503658 603836474032584661405532 61564546623638405027 Construct a frequency distribution for these ages. Use 8 classes beginning with a lower class limit of $25 .$ Age Frequency

Construct a stem-and-leaf diagram for the data set below. Round each number to the nearest whole number before constructing the diagram. Why is it necessary to first round the numbers? 192.3 213.2 235.1 216.7 187.9 231.7 238.1 188.9 209.3 219.4 190.2 191.1 212.7 224.7 195.6 187.0 220.6 207.1

Give an example of a data set whose distribution is likely to be bimodal. Describe the population from which the sample is selected and the variable that is measured for each person. Explain why you think the distribution will be bimodal.

Construct a relative-frequency polygon for the given data. -An athlete runs 100 meters in 10.7 seconds.

Classify the data as either discrete or continuous. -The number of freshmen entering college in a certain year is 621.

Identify the variable. -The following table gives the top five movies at the box office this week. Rank Last week Movie title Studio Box office sales (\ millions) 1 N/A Pirate Adventure Movie Giant 35.2 2 2 Secret Agent Files G.M.G. 19.5 3 1 Epic Super Hero Team 22nd Century 14.3 4 5 Reptile Ride Movie Giant 10.1 5 4 Must Love Cats Dreamboat 9.9 Identify the variable under consideration in the fifth column?

Construct a stem-and-leaf diagram for the given data. -The following data show the number of laps run by each participant in a marathon. 46 65 55 43 51 48 57 30 43 49 32 56

A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogramfor the systolic blood pressure readings for those people aged between 25 and 40. Use the histogram to answer thequestion. The blood pressure readings were given to the nearest whole number. -What common class width was used to construct the frequency distribution?

Construct a dotplot for the given data. -The frequency chart shows the distribution of defects for the machines used to produce a product. Defects Frequency 0 1 1 3 2 0 3 2 4 4 5 0

The set of possible values that a variable can take constitutes the data.

Use cutpoint grouping to organize these data into a frequency distribution. -A government researcher was interested in the starting salaries of humanities graduates. A random sample of 30 humanities graduates yielded the following annual salaries. Data are in thousands of dollars, rounded to the nearest hundred dollars. 23.1 24.0 33.7 28.4 36.0 41.0 22.2 21.8 30.5 49.2 30.1 25.2 38.3 46.1 40.0 27.5 24.9 28.0 31.8 29.9 25.7 32.5 48.6 27.4 41.4 35.9 31.9 42.4 26.3 33.0 Construct a frequency distribution for these annual starting salaries. Use 20 as the first cutpoint and classes of equal width 4 .

Raul set up a frequency distribution with the following classes: Weight (lb) Frequency 20-under 25 25-under 30 30 -under 35 Give an alternate way of depicting these classes if the original data are given: a. To the nearest whole number b. To one decimal place c. To two decimal places

Provide the requested table entry. -The data in the following table represent heights of students at a highschool. Find the value of the missing entry. Height (centimeters) Relative frequency 142 -under 152 0.03 152 -under 162 0.22 162 -under 172 0.25 172 -under 182 0.26 182 -under 192 192 -under 202 0.04

Construct a dotplot for the given data. -A store manager counts the number of customers who make a purchase in his store each day. The data are as follows. $5639255632$

A graphical display of a data set is given. Identify the overall shape of the distribution as (roughly)bell-shaped,triangular, uniform, reverse J-shaped, J-shaped, right skewed, left skewed, bimodal, or multimodal. -A stem-and-leaf diagram is given below for the number of vacation days taken in 2006 by the employees of an electronics company. 0 401363584368002 1 14251403010 2 020034 3 01 4 3

Use limit grouping to organize these data into a frequency distribution. -A medical research team studied the ages of patients who had strokes caused by stress. The ages of 34 patients who suffered stress strokes were as follows. 293036414550576128503658 603836474032584661405532 61564546623638405027 Construct a frequency distribution for these ages. Use 8 classes beginning with a lower class limit of 25 and class width of 5 . Age Frequency

The ages of the 45 members of a track and field team are listed below. Construct an ordered stem-and-leaf diagram using two lines per stem. 21 18 42 35 32 21 44 25 38 48 14 19 23 22 28 32 34 27 31 17 16 41 37 22 24 33 32 21 26 30 22 27 32 30 20 18 17 21 15 26 36 31 40 16 25

The following table shows the average weight of offensive linemen for each given football team. Team Average weight (pounds) Gators 303.52 Lakers 326.78 Eagles 290.61 Pioneers 321.96 Lions 297.35 Mustangs 302.49 Rams 345.88 Buffalos 329.24 What kind of data is provided by the information in the first column?

Use cutpoint grouping to organize these data into a frequency distribution. -The table shows the closing share price, in dollars, for each of the 32 stock holdings of a mutual fund. $18 \frac { 1 } { 16 } \quad 24 \frac { 5 } { 8 } \quad 56 \frac { 3 } { 4 } \quad 48 \quad 14 \frac { 9 } { 16 } \quad 53 \frac { 3 } { 8 } \quad 25 \frac { 1 } { 4 } \quad 20 \frac { 1 } { 4 }$ $20 \quad 27 \frac { 11 } { 16 } \quad 67 \frac { 3 } { 16 } \quad 30 \frac { 1 } { 2 } \quad 18 \frac { 1 } { 8 } \quad 62 \quad 31 \frac { 9 } { 16 } \quad 47 \frac { 3 } { 8 }$ $52 \frac { 15 } { 16 } \quad 29 \frac { 5 } { 8 } \quad 26 \quad 13 \frac { 15 } { 16 } \quad 11 \frac { 11 } { 16 } \quad 24 \frac { 7 } { 8 } \quad 49 \frac { 3 } { 4 } \quad 70$ $45 \frac { 1 } { 16 } \quad 54 \frac { 1 } { 2 } \quad 56 \frac { 3 } { 16 } \quad 60 \quad 58 \frac { 15 } { 16 } \quad 37 \frac { 5 } { 8 } \quad 59 \frac { 3 } { 4 } \quad 51$ Construct a frequency distribution for these share prices. Use 10 as the first cutpoint and classes of equal width 10 .

Complete the contingency table and use it to solve the problem. -The partially filled contingency table gives the frequencies of the data on age (in years)and sex from the residents of a retirement home. What percentage of residents are female ?