AND CORRECT ANSWERS 2024- 2025.
Define Mode ANS -The value that occurs most often in a data set
The Mean of a data set represents the? ANS -Average
Median of a data set ANS -The middle value of the data set
What are the two types of variables ANS -1) Quantitative Variable 2) Categorical Variable
Quantitative variable ANS -Quantitative variable - a variable that takes a numerical value that can be
counted or measured.
Examples: height, weight, age, cholesterol level, exam scores
Categorical variable ANS -Categorical variable - a variable that is not measured; it is a "category" or a
label; it places the individual in a certain group.
Examples: gender, months of the year, zip codes
List Two Graphical Displays for Categorical Data ANS -1) Pie Charts 2) Bar Charts
___________________ - best when we want to display different parts of a whole ANS -Pie Charts.
_______________________ - best to display counts or frequencies for the categories ANS -Bar Charts.
List the 4 different Graphical Displays for Quantitative Data ANS -Dot Plot - Best to display the
distribution of data, particularly clusters, gaps, and outliers. Most useful for smaller data sets.
Stem Plot (or Stem and Leaf Plot) - Best to display the distribution or shape of data according to place
values. Keeps information about individual data points.
, Box Plot - Best to display the center, spread, and outliers of a given data set.
Histogram - Best to display the distribution (shape and spread) of quantitative data. Works well with
large data sets.
A stem plot is constructed by separating each data value into a stem and a leaf. The leaf is the
__________ most digit, and the stem consists of all of the digits to the __________ of the leaf. ANS -A
stem plot is constructed by separating each data value into a stem and a leaf. The leaf is the right most
digit, and the stem consists of all of the digits to the left of the leaf.
Note: Represent each number that is in the ones place from the list of numbers. By doing this the stems
will consist of ones, twos, threes, and fours. Next list the leafs by taking the digit to the right and writing
it within the coloumn/stem that matches the ones place holder of the number. Example 31 the ones
place/ stem is "3" the Leaf which is to the right of the number is "1".
After listing all stems and leafs. Re-arrange them in increasing order.
If the list of numbers is long or big you can split the stem and leaf into two sets. Ex. the first stem set of 1
will list any leafs 1-5 while the second stem leaf set can list any leafs 6-9. See thirs graph for illustration
What 4 analysis are needed to describe a distribution ANS -1. The shape of the graphical display
2. The center and spread of the data
3. The maximum and minimum values
4. Any values that could be outliers
What are the Numerical Measures of Center ANS -Mean: "Average"
Median: "Middle"
Mode: "Most frequently occurring"
Find the Mean ANS -Add up all the values and divide by the number of values
Find the Median ANS -Put the data in order and the median is the middle value.