Portage Math 110 Elementary Statistics (Module 2), Exams of Mathematics

Portage Math 110 Elementary Statistics (Module 2)

Typology: Exams

2023/2024

Available from 06/25/2024

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Portage Math 110 Elementary Statistics
(Module 2)
Frequency distribution - Verified Answer A tabular summary of data showing the
number (frequency) of observations in each of several distinctive (no overlapping)
categories or classes.
Relative frequency - Verified answer a ratio that compares the frequency of each
category to the total.
Frequency of the class / n where n = total count of all classes
Relative percentage - Verified Answer percentage of time the value occurs in the
sample or population
Relative frequency x 100
Charting - Verified Answer means to represent frequencies visually
Column chart - Verified Answer Data graphed as a series of vertical bars
X-axis: class
Y-axis: frequency of class
Bar chart - Verified Answer Data graphed as a series of horizontal bars
X-axis: frequency of class
Y-axis: class
Pie chart - Verified Answer chart that shows the relationship of a part to a whole
Best suited for the distributions focused on the proportions
3 step method to group numerical data into classes - Verified Answer1. Determine the
number of classes to be evaluated
2. Determine the width of each class
3. Determine the limits of each class
Number of classes - Verified Answer (use b/w 5 and 20)
Less than 25 > 5 to 6
25 to 50 > 7 to 14
More than 50 > 15-20
Width of class - Verified Answerapprox width =
(Largest data value - smallest data value) / # of classes
Qualitative data - Verified Answer frequency distributions
Relative frequency distributions
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Portage Math 110 Elementary Statistics

(Module 2)

Frequency distribution - Verified Answer A tabular summary of data showing the number (frequency) of observations in each of several distinctive (no overlapping) categories or classes. Relative frequency - Verified answer a ratio that compares the frequency of each category to the total. Frequency of the class / n where n = total count of all classes Relative percentage - Verified Answer percentage of time the value occurs in the sample or population Relative frequency x 100 Charting - Verified Answer means to represent frequencies visually Column chart - Verified Answer Data graphed as a series of vertical bars X-axis: class Y-axis: frequency of class Bar chart - Verified Answer Data graphed as a series of horizontal bars X-axis: frequency of class Y-axis: class Pie chart - Verified Answer chart that shows the relationship of a part to a whole Best suited for the distributions focused on the proportions 3 step method to group numerical data into classes - Verified Answer 1. Determine the number of classes to be evaluated

  1. Determine the width of each class
  2. Determine the limits of each class Number of classes - Verified Answer (use b/w 5 and 20) Less than 25 > 5 to 6 25 to 50 > 7 to 14 More than 50 > 15- Width of class - Verified Answer approx width = (Largest data value - smallest data value) / # of classes Qualitative data - Verified Answer frequency distributions Relative frequency distributions

Percent frequency distributions Graphical: bar, column, pie charts Quantitative data - Verified Answer frequency distributions Relative frequency distributions Percent frequency distributions Graphical: histograms Positive relationship - Verified Answer ing association between two variables in which they increase or decrease together Negative relationship - Verified Answer ing association between two variables in which one increases while the other decreases No relationship - Verified Answer s one variable increases the other stays the same Measures of central tendency - Verified Answer mean, median, mode "Typical" or "average" value of a data set Sample mean - Verified Answer bar The arithmetic average value of the responses on a variable (sum of values / number of observations) Population mean - Verified Answer (mu) Calculated mean of the entire population (sum of values in population / N = number of observations in pop) Median - Verified Answer midpoint The middle score in a distribution; half the scores are above it and half are below it Odd = middle number Even = average of two middle numbers Mode - Verified Answer The value that occurs most frequently in a given data set. Percentile - Verified Answer Specific point in a distribution of data that has a given percentage of cases below it. Quartile - Verified Answer A division of the total into four intervals, each one representing one-fourth of the total. Median is Q Median of lower half is Q Median of upper half is Q Interquartile range - Verified Answer The difference between the upper and lower quartiles. Q3-Q