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3 step method to group numerical data into classes - ✔✔✔-1. determine the number of classes
to be evaluated
2. determine the width of each class
3. determine the limits of each class
bar chart - ✔✔✔-Data graphed as a series of horizontal bars
x-axis: frequency of class
y-axis: class
charting - ✔✔✔-a means to represent frequencies visually
coefficient of variation - ✔✔✔-Standard deviation / mean x 100
(expressed as percentage)
how the size of the standard deviation compares to the mean of the data set
column chart - ✔✔✔-Data graphed as a series of vertical bars
x-axis: class
y-axis: frequency of class
deviation about the mean - ✔✔✔-calculated difference between the data value and the mean
empirical rule (bell curve) - ✔✔✔-68.27 - 95.45 - 99.73
The rules gives the approximate % of observations w/in 1 standard deviation (68%), 2 standard
deviations (95%) and 3 standard deviations (99.7%) of the mean when the histogram is well
approx. by a normal curve
, Portage Math 110 Elementary Statics (Module 2) – Exam with Questions and
Answers – 100% Solved
frequency distribution - ✔✔✔-A tabular summary of data showing the number (frequency) of
observations in each of several distinctive (nonoverlapping) categories or classes.
interquartile range - ✔✔✔-The difference between the upper and lower quartiles.
Q3-Q1
measures of central tendency - ✔✔✔-mean, median, mode
"typical" or "average" value of a data set
median - ✔✔✔-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 - ✔✔✔-The value that occurs most frequently in a given data set.
negative relationship - ✔✔✔-an association between two variables in which one increases
while the other decreases
no relationship - ✔✔✔-as one variable increases the other stays the same
Number of classes - ✔✔✔-(usu b/w 5 and 20)
less than 25 > 5 to 6
25 to 50 > 7 to 14
More than 50 > 15-20