921Statistics:

Heights of adult males are known to have a normal distribution. A researcher claims to have randomly selected adult males and measured their heights with the resulting relative frequency distribution as shown here. Identify two major flaws with these results. NOTE: Frequency in the category —--------------------------------- x100 Total frequency

.-All of the relative frequencies appear to be roughly the same. If they are from a normal​ distribution, they should start​ low, reach a​ maximum, and then decrease. -The sum of the relative frequencies is121​%, but it should be​ 100%, with a small possible​ round-off error.

Refer to the table summarizing service times​ (seconds) of dinners at a fast food restaurant. How many individuals are included in the​ summary? Is it possible to identify the exact values of all of the original service​ times?

.No. The data values in each class could take on any value between the class​ limits, inclusive.

If we have a large voluntary response sample consisting of weights of subjects who chose to respond to a survey posted on the​ Internet, can a graph help to overcome the deficiency of having a voluntary response​ sample?

.​No, a graph cannot help to overcome the deficiency. If the sample is a bad​ sample, there are no graphs or other techniques that can be used to salvage the data.

Which characteristic of data is a measure of the amount that the data values​ vary?

Variation

A value at the center or middle of a data set is​ a(n) ______.

measure of center

The measure of center that is the value that occurs with the greatest frequency is the

mode.

is the median always equal to the​ midrange? A.Yes B.No

no

in a​ graph, if one or both axes begin at some value other than​ zero, the differences are exaggerated. This bad graphing method is known as​ ______.

nonzero axis

when drawings of objects are used to depict​ data, false impressions can be made. These drawings are called​ ______

pictographs_

​distribution, the frequency of a class is replaced with a proportion or percent.

relative frequency

. Class width is found by​ ______

subtracting a lower class limit from the next consecutive lower class limit

A defunct website listed the​ "average" annual income for Florida as​ $35,031. What is the role of the term average in​ statistics? Should another term be used in place of​ average? A.The term average is not used in statistics. The term mean should be used for the result obtained by adding all of the sample values and dividing by the total number of sample values. B.The term average is often used in statistics to represent the mean. C.The term average is not used in statistics. The term median should be used for the result obtained by adding all of the sample values and dividing by the total number of sample values. D.The term average is often used in statistics to represent the median.

A.The term average is not used in statistics. The term mean should be used for the result obtained by adding all of the sample values and dividing by the total number of sample values.

Find the median of the following values. 6 6 12 16 960 1000 A.6 B.14 C.503 D.333.3

B.14

Which of the following is NOT a characteristic of the​ mean? A.The mean takes every data value into account. B.The mean is relatively reliable. C.The mean is called the average by statisticians. D.The mean is sensitive to outliers.

C.The mean is called the average by statisticians.

Which of the following is a common distortion that occurs in​ graphs? A.Using bars to represent the frequency of data values B.Labeling both axes C.Using a​ two-dimensional object to represent data that are​ one-dimensional in nature D.Using points above the class midpoints at the heights of the class frequencies

C.Using a​ two-dimensional object to represent data that are​ one-dimensional in nature

Which of the following is always​ true? A.The mean and median should be used to identify the shape of the distribution. B.For skewed​ data, the mode is farther out in the longer tail than the median. C.Data skewed to the right have a longer left tail than right tail. D.In a symmetric and​ bell-shaped distribution, the​ mean, median, and mode are the same.

D.In a symmetric and​ bell-shaped distribution, the​ mean, median, and mode are the same.

Why is it important to learn about bad​ graphs A.So that we can represent data the way we would like it to look B.To learn how to create frequency distributions C To learn how to draw pictographs D.So that we can critically analyze a graph to determine whether it is misleading

D.So that we can critically analyze a graph to determine whether it is misleading

Which of the following is NOT true about statistical​ graphs? A.Similar graphs can be constructed in order to compare data sets. B.They can be used to consider the overall shape of the distribution. C.They can be used to identify extreme data values. D.They utilize areas or volumes for data that are​ one-dimensional in nature.

D.They utilize areas or volumes for data that are​ one-dimensional in nature.

A data set consists of 100 amounts of annual income​ (dollars) and there are two outliers that are exceptionally high. Which measure of center appears to be​ best?

Median

A data set consists of a list of eye colors from 250 randomly selected statistics students. Which measure of center appears to be​ best?

Mode

are sample values that lie very far away from the majority of the other sample values.

Outliers

​A(n) _______ uses line segments to connect points located directly above class midpoint values.

frequency polygon

We utilize statistical​ _______ to look for features that reveal some useful or interesting characteristics of the data set.

graphs

Which of the following is NOT a measure of​ center? median mode census Mean

census

Methods used that summarize or describe characteristics of data are called________statistics.

descriptive

A​ _______ is a graph of each data value plotted as a point.

dotplot

helps us understand the nature of the distribution of a data set.

frequency distribution

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question. Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell​ us? 29 26 28 97 20 39 56 61 4 8 99 What does the results tell us? The jersey numbers are nominal data and they do not measure or count anything, so the resulting statistics are meaningless.

the mean is: 42.5 (add all the numbers and divide by the total number of players) The median is: 29 (putting numbers in order from smallest to largest, find the number in the middle) The mode is: (There is no mode) (Numbers that show up more than once, list in order from leaset to most) The midrange is: 51.5 ( the biggest number plus the smallest number and divided by 2) - The jersey numbers are nominal data and they do not measure or count anything, so the resulting statistics are meaningless.