Checkpoint 2
In my data set of 10 exam scores, the mean turned out to be the score of the person with the third
highest grade. No two people got the same score.
The statement makes sense because the mean of a data set can be pulled far to the left or right of
the middle of the range of values by outliers.
In my data set of 10 exam scores, the median turned out to be the score of the person with the third
highest grade. No two people got the same score.
This does not make sense because the median value should be between the fifth and sixth highest
scores.
I made a distribution of 15 apartment rents in my neighborhood. One apartment had a much higher
rent than all of the others, and this outlier caused the mean rent to be higher than the median rent.
The statement makes sense because an outlier with a large value increases the mean, but does not
affect the median.
The distribution of grades was left-skewed, but the mean, median, and mode were all the same.
This does not make sense because the mean and median should lie somewhere to the left of the
mode if the distribution is left-skewed.
Choose the first set in the list of natural numbers, whole numbers, integers, rational numbers, and real
numbers that describes the following number: 22
natural numbers
Choose the first set in the list of natural numbers, whole numbers, integers, rational numbers, and real
numbers that describes the following number: 19
natural numbers
Consider the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers.
Identify the first set in the list that describes the given number: ½
rational numbers
Consider the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers.
Identify from the list above the first set that describes the given number: 3.8683
rational numbers
Consider the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers.
Identify from the list above the first set that describes the given number: 6 pi (symbol)
real numbers
,Consider the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers.
Identify from the list above the first set that describes the given number: - 19.7501 (negative)
rational numbers
Consider the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers.
Identify the first set in the list that describes the given number: SQUARE ROOT 35
real numbers
Consider the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers.
Identify from the list above the first set that describes the given number: 23 pi (symbol)
real numbers
Consider the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers.
Identify from the list above the first set that describes the given number – 7/6
rational numbers
Choose the first set in the list of natural numbers, whole numbers, integers, rational numbers, and real
numbers that describes the following number: x/59
real numbers
Choose the first set in the list of natural numbers, whole numbers, integers, rational numbers, and real
numbers that describes the following number: x/85
real numbers
Consider the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers.
Identify from the list above the first set that describes the given number: 3 pi (symbol)
real numbers
The numbers of words defined on randomly selected pages from a dictionary are shown below. Find
the mean, median, and mode of the listed numbers.
In Excel, use =AVG formula. The MEAN is the AVERAGE of all the numbers listed.
State, with an explanation, whether the mean, median, or mode gives the best description of the
following average. The average number of children in a family.
The median is the best because the distribution is probably right-skewed with a single peak.
State, with an explanation, whether the mean, median, or mode gives the best description of the
following average. The average weight of potatoes in a 10 dash pound bag.
The mean is the best because the distribution is probably symmetric with a single peak.
State, with an explanation, whether the mean, median, or mode gives the best description of the
following average. The average number of times that people change jobs during their careers.
The median is the best because the distribution is probably right-skewed with a single peak.
State, with an explanation, whether the mean, median, or mode gives the best description of the
following average. The average household income in this state.
The median is the best because the distribution is probably right-skewed with a single peak.
, State, with an explanation, whether the mean, median, or mode gives the best description of the
following average. The average weight of women in this country.
The mean is the best because the distribution is probably symmetric with a single peak.
State, with an explanation, whether the mean, median, or mode gives the best description of the
following average. The average diameter of potatoes in a 10 dash pound bag.
The mean is the best because the distribution is probably symmetric with a single peak.
Consider the distribution of exam scores (graded from 0 to 100) for 84 students when 39 students got
an A, 27students got a B, and 18 students got a C. Complete parts (a) through (d) below.
There would probably be one peak because there are no obvious reasons why the exam scores
would form different groups.
The distribution would probably be left-skewed because many of the students got an A, and very few
got a C.
The variation would probably be large because many students got an A, some got a B, and a small
number got a C.
Consider the distribution of the annual rainfall in 95 cities selected randomly throughout the United
States. Complete parts (a) through (d) below.
There would probably be one peak because there are no obvious reasons why the values of the
annual rainfall would form different groups.
The distribution would probably be right-skewed because there is a clear minimum amount of
rainfall but no obvious maximum amount.
The variation would probably be large because there would likely be several cities with very different
amounts of rainfall.
Consider the distribution of the monthly sales of snow shovels over a one-year period at a store in
Chicago, IL (the distribution will look best if you start from July rather than January. Complete parts (a)
through (d) below.
There would probably be one peak corresponding to the winter months.