Deck 2: Organization and Description of Data

Question 1

The main types of data are qualitative and numerical.

Answer 1

True

Question 2

The measurement scale for a ______ variable does not have gaps.

Answer 2

continuous

Question 3

In describing a data set of measurements, the computation of numerical measures is irrelevant.

Answer 3

False

Question 4

Both, categorical and numerical data can be described graphically using tables and ______.

Question 5

A frequency table for a sample of units

A) shows all sample units
B) shows the counts of individual categories
C) shows all units within a category
D) shows the relative frequencies of each category

Question 6

A die is rolled 16 times, the scores are shown below.

a) Find the frequency of even numbers.
b) Find the relative frequency of even numbers. Round your answer to three decimal places.

Question 7

A die is rolled 16 times, the scores are shown below.

a) Find the frequency of 5.
b) Find the relative frequency of 5. Round your answer to four decimal places.

Question 8

A die is rolled 16 times, the scores are shown below.

a) Find the frequency of numbers larger than 4.
b) Find the relative frequency of numbers larger than 4. Round your answer to four decimal places.

Question 9

In a recent basketball season, one-star player scored 475 field goals, 4 3-point field goals, and 292 free-throw goals. Find the pie chart that better describes the data.

A)

B)

C)

D)

Question 10

The following table shows the countries whose teams have won the UEFA Champions League.

a) Calculate the relative frequency of each country. Round your answers to three decimal places
b) Select the pie chart that better describes the data.

Question 11

Find the histogram that better describes the data.

Question 12

The top number of goals scored by a national team in 18 FIFA's World Cups is shown below. Select the dot diagram that matches with the data.

Question 13

The number of touchdowns of a college football team is:


a) Complete the frequency distribution.

b) Select the line diagram that matches the data.

Question 14

The following data represents the Tampa Buccaneers number of touchdowns per season, in 20 seasons. Make a stem-and-leaf display.

Question 15

Use the stem-and-leaf display to construct a frequency distribution with intervals 10-12, 13-15, ..., 25-27.

Question 16

The table below shows the fastest race lap in the F1 Grand Prix in Monza.
Make a stem-and-leaf display with a 2-digit stem.

Question 17

Calculate the mean and median of the following data set.

Question 18

Calculate the mean and median of the following data set. Round your answer to the nearest tenth.

A) 36.7 and 30, respectively
B) 36.7 and 32, respectively
C) 36.7 and 31, respectively
D) Mean: 36.7; there is no median

Question 19

Calculate the mean and the median of the following data set.

Question 20

In a period of twelve years, the record low temperatures ( $\degree$ F) in Los Angeles CA were:
Find the dot diagram that corresponds to these data.

Question 21

Calculate the quartiles of the following data set.

Question 22

Calculate the third quartile.

A) 26
B) 31
C) 25
D) 27

Question 23

The second quartile of a data set always corresponds to the median.

Question 24

The second quartile of a data set always corresponds to the mean.

Question 25

Find the 10th percentile.

A) 1.7
B) 1.8
C) 1.72
D) 1.75

Question 26

Find the interquartile range.

Question 27

The range is the difference between the largest observation and the smallest observation.

Question 28

For the data set 6 10 1
a) Calculate the deviations (X-X̄) . Round your answers to two decimal places.
b) Calculate the sample variance and the standard deviation.

Question 29

For the data set

a) Calculate the deviations (X-X̄) and check to see that they add up to 0.
b) Calculate the sample variance and the standard deviation.

Question 30

For the data set
calculate s² by using the alternative formula. Round your answer to the nearest tenth.

Question 31

Find the variance of the following data set.

A) 1.4
B) 2.0
C) 1.7
D) 3.0

Question 32

Find the standard deviation of the following data set.

A) 56.0
B) 57.0
C) 49.5
D) 48.5

Question 33

A football fan recorded the total number of points scored by 5 teams during week 1.

a) Calculate the sample variance.
b) Calculate the sample standard deviation.

Question 34

A report on the points gained by football teams playing at home in week 2 of the season are summarized below.

a) Calculate the sample variance.
b) Calculate the interquartile range.

Question 35

According to the empirical guidelines for symmetric bell-shaped distributions, approximately 95% of the data lie within

Question 36

Refer to the data.

a) Calculate $\bar{X}$ and s.
b) Find the proportion of the observations that are in the intervals $\bar{X}±s$ , $\bar{X}±2s$ , and $\bar{X}±3s$ .

Question 37

Based on the boxplot,
complete the table.

Question 38

During a recent season, the Orlando Magics basketball team won 59 games. The diference in points for 24 of these games is shown below. Find the time plot that corresponds to these data.

Question 39

During a recent regular season, the Orlando magics basketball team won 59 games. The difference of points in 24 of these games is shown below. Find the control chart that corresponds to these data.
I
II

Question 40

The number of bachelor's degrees earned in the United States, over
a recent 20-year period are given in the following table. The number is
presented in millions of degrees.
Select the time plot of the number of bachelor's degrees.

Question 41

The stem-and-leaf display given here shows the final examination scores of students in a statistics course. (Leaf unit = 1.0)
$\textbf{ Stem-and-Leaf }$
$\textbf{ Display of Scores }$
a) Find the median score.
b) Find the quartiles Q1 and Q3.
c) What proportion of the students scored below 70? Round your answer to three decimal places.

Question 42

If M is the mean of x₁, x₂, and x₃, then the mean of 50x₁, 50x₂, and 50x₃ is 50M.

Question 43

If M is the mean of x₁, x₂, and x₃, then the mean of x₁ + 3, x₂ + 3, and x₃ + 3 is M + 3.

Question 44

Let s₁, s₂, and s₃ be the standard deviations of the bell-shaped graphs I, II, and III, respectively. Place them in increasing order.

A) S₂ , S₃ , S₁
B) S₁ , S₃ , S₂
C) S₃ , S₁ , S₂
D) S₂ , S₁ , S₃

Question 45

If the median of the following set of data is 11.1, find the value of x.
12.9 $~~~ ~$ 8.4 x 10.6

A) 10.6
B) 11.1
C) 11.6
D) Cannot be determined

Question 46

The sum of all deviations equals ________.

Question 47

Since the median is not affected by a few very small or very large observations, the _______ is likely to be a more sensible measure of center than the ________.

Question 48

The table below shows the attendance to the Super Bowl for 14 years

a) Find the 10th percentile.
b) Find the interquartile range.

Question 49

Three friends eat out together once a week and they split the bill so each pays x dollars. Because the same person always orders much more than the other two, they decide it is much fairer to each pay the median of the three meals. Is there anything wrong with this plan?

Question 50

Consider the data
6 4 8 4 3
concerning the number of visits by five students to a fast food establishment in the last 30 days,
Calculate the
(a) sample mean
(b) deviations x - x and check to see that they add up to 0.
(c) sample variance. Give the units of variance.
(d) sample standard deviation.

Question 51

For the data concerning the number of chemistry class discussion sections skipped by 5 students last semester.
1 3 4 9 3
Calculate the
(a) sample mean
(b) deviations x- x and check to see that they add up to 0.
(c) sample variance. Give the units of variance.
(d) sample standard deviation.

Question 52

Five students reported the number of canned/bottled beverages they consumed last week
3 7 3 11 1
Calculate the
(a) sample mean
(b) deviations x - x and check to see that they add up to 0.
(c) sample variance. Give the units of variance.
(d) sample standard deviation.

Question 53

Consider the software summary of the data on the length of a wolf's Canine(mm).

n = 19
sd(x) = 1.969

(a) sample range
(b) sample interquartile range.
(c) $( \bar{x} - 2s , \bar{x} - 2s )$