Chap 4 connect readings

For a given set suppose Q1 =140 Q2 =150 Q3=160 What would the upper limit be?

190 160+1.5&*160-140

For a given data set, suppose Also, suppose that the three smallest observations are 20,24, and 28. Which of the following is true about the box plot for this data set?

There would be two asterisks plotted to indicate outliers at 20 and 24. 40-15 &*(50-40)=25

A scatter diagram could be used to plot all of the following expect which one of these pairs of variables? Height and Weight Gender and Major Temperature and Coffee Sales GPA and Salary

Gender and Major Gender is nominal

What statements below describe the relative use of dot plots and histograms? Select all that apply. Histograms are more useful for large data sets. Histograms are easier to construct. Dot plots show the relative frequency of data values. Dot plots are most useful for small data sets.

Histograms are more useful for large data sets Dot plots are most useful for small data sets.

Choose the correct formula for the location L p from n observations where P is the desired percentile.

L p = (n+1) P over 100

which of the following is true?

Pearson's coefficient of skewness uses the difference between the sample mean and the median

Match the measure of position to the number of parts into which it divide a set of observations. Percentiles Deciles Quartiles Median

Percentiles- 100 Deciles- 10 Quartiles- 4 Median- 2

The contingency table shown below shows the number of cars sold above and below the median profit for four dealerships. Which dealership had more than half of their sales above median profit? Contingency Table Showing the Relationship between Profit and Dealership Above Below Total Kane- 25-27-52 Olean- 20-20-40 Sheffield- 19-26-45 Tionesta- 26-17-43 Total-90-90-180

Tionesta

Contingency tables are used for summarizing data of what level? Select all that apply. Nominal Ordinal Ratio Interval

Nominal Ordinal

Each of the following is a measure of position in a set of data except: the standard deviation the quartiles the deciles the range the median

the standard deviation the range

For the following ordered set of data find the 25th percentile. 0,0,2,3,5,5,6,7,7,8,9,10,11,13,14

3

For a given data set, suppose Q1=70 Q2=80 Q3=100. Which of the following is true about outliers?

An observation of 20 would be an outlier 25% of the data is less than 70 and 25% of the data is greater than 100

First Quartile Second Quartile Third Quartile

1st- Separates the bottom 25% of the data from the upper 75% 2nd- Separates the bottom 50% of the data from the upper 50% 3rd- Separates the bottom 75% of the data from the upper 25%

The contingency table shown below shows the number of cars sold above and below the median profit for four dealerships. How many sales below median profit were made by the Sheffield dealership? Contingency Table Showing the Relationship between Profit and Dealership Above Below Total Kane- 25-27-52 Olean- 20-20-40 Sheffield- 19-26-45 Tionesta- 26-17-43 Total-90-90-180

26

Which of the following are features of a dot plot? Select all that apply. A horizontal line indicating the possible values of the data A line connecting the dots that represent individual observations Dots "pilled up" for observations very close together. One dot for each observation.

A horizontal line indicating the possible values of the data Dots "pilled up" for observations very close together. One dot for each observation.

Which of the following statements describe a feature of a scatter diagram? Select all that apply. Each observation is represented by a single dot The data points are connected by a line to make a polygon The vertical axis shows the frequency of occurrence of each set of observations One variable is plotted on the horizontal axis and the other is plotted on the vertical axis

Each observation is represented by a single dot One variable is plotted on the horizontal axis and the other is plotted on the vertical axis

The interquartile range is a measure of dispersion used to construct box plots. What is the definition of interquartile range?

The distance between the first and third quartile. I.e. Q3-Q1

Suppose a given data set has the following characteristics: Minimum Value: 120 Q1:160 Q2:190 Q3:200 Maximum value:220 Which of the following is true about the distribution of the data?

The distribution is negatively skewed

Match the coefficient of skewness (it could be either Pearson's or the Software coefficient) to the correct interpretation. sk=1.83 sk=0.01 sk=-1.52 sk=2.60

sk=1.83 Moderate Positive Skewness sk=0.01 very nearly symmetrical sk=-1.52 moderate negative skewness sk=2.60 considerable positive skewness

Which of the following is not a measure of position? 75th decile the median the correlation coefficient first quartile the variance

the correlation coefficient the variance