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Statistics Vocabulary

A
Arithmetic Mean - The average of a group of numbers. 

B
          Bimodal - Two modes in a set of data.

C
Census - When a researcher gathers data from thee whole population for a given measurement of interest.

Classes - Used to describe the sets or categories of data in which they are divided.

Class Endpoint - The highest value in a class interval.

Class Midpoint - For any given class interval of a frequency distribution, the value halfway across the class interval. The average of the class endpoints.

Class Width - The approximate width determined for the classes in a Frequency Distribution.


Continuous Data - Contains values between major divisions, like 30.1, 30.2, 30.3, etc. and not just 30, 31, 32, etc. The ages of students in a class would be Continuous Data. (see Discrete Data also)

Cumulative Frequency - A running total of frequencies through the classes of a frequency distribution. (see Relative Frequency and Frequency Distribution also)



D
Discrete Data - Contains no values between the major divisions, like 30, 31, 32, etc. and not 30.1, 30.2, 30.3, etc. Test scores for a class would be Discrete Data. (see Continuous Data also)

Descriptive Statistics - When a researcher is using data gathered on a group to describe or reach conclusions about that same group only. (see Inferential Statistics also)



E
Empirical Rule - A guideline that states the approximate percentage of values that fall within a given number of standard deviations of a mean of a set of data that are normally distributed.


F
Frequency Distribution - Grouped data. A summary of data that are presented in the form of class intervals and frequencies. ( see Cumulative Frequency and Relative Frequency also)

Frequency Polygon - A graph construed by plotting a dot for the frequencies at the class midpoints and connecting the dots. (see Histogram, Ogive, Pie Chart, or Stem and Leaf Plot also)








G
Grouped Data - Data that have been organized into a frequency distribution. (see Ungrouped Data also)
 
H

Histogram - A type of vertical bar chart constructed by graphing line segments for the frequencies of classes acros s the class intervals and connecting each to the X axis to form a series of rectangles. (see Fre
quenc y Polygon, Ogive, Pie Chart, or Stem and Leaf Plot also)









 
  
I
Inferential Statistics - When a researcher gathers data from a sample and uses the statistics generated to reach conclusions about the population from which the sample was taken. (see Descriptive Statistics also)

Interval Level Data - The next - to - highest level of data. These data have all properties of ordinal level data; in addition, intervals between numbers have meaning. (see Nominal Level Data, Ordinal Level Data, or Ratio Level Data also)



J
Joint Probability - The probability of the intersection occurring, or the probability of two or more things happening at once. 



K
Kurtosis - The amount of peakedness of a distributtion. 



L
Leptokurtic - Distributions that are high and thin.


M
Metric Data - Interval and ration level data; quantitative data. (see Nonmetric Data also) 



N
Nominal Level Data - The lowest level of data measurement; used only to classify or categorize. (see Ordinal Level Data, Interval Level Data, or Ratio Level Data also)

Nonmetric Data - Nominal and ordinal level data; qualitative data. (see Metric Data also)

Nonparametric Statistics - A class of statical techniques that make few assumptions about the population and are particularly applicable to nominal and ordinal level data. (see Parametric Statistics also) 



O
Ogive - A cumulative or frequency polygon. The Ogive is plotted by graphing a dot at each class end point for the cumulative frequency value and connecting

the dots. (see Frequency Polygon, Histogram, Pie Chart, or Stem and Leaf Plot also) 

Ordinal Level Data - The next higher level of data from nominal level data; can be used to order or rank items, objects, or people. (see Nominal Level Data, Interval Level Data, or Ratio Level Data also) 




P
Parameter - A descriptive measure of the population.

Parametric Statistics - A class of statical techniques that contain assumptions about the population and that are generally used only with interval and ration level data. (see Nonparametric Statistics also)

 

Pie Charts - A circular depiction of data where the area of the whole pie represents 100% of the data being studied and slices represent a percentage breakdown of the sublevels. (see Frequency Polygon, Histogram, Ogive, or Stem and Leaf Plot also) 

Population - A collection of persons, objects, or items of interest. 



Q

Quartiles - Measures of location that divide a grouup of data into four subgroups or parts.

Qualitative Data - Seen in the form of names or labels, used to categorize or describe like items.

Quantitative Data - Seen in the form of a measurement, how much or how many of certain items. 



R

Range - The difference between the greatest andd least numbers in a set of numbers.

Ratio Level Data - The highest level of data measurement. Contains the same properties as interval level data but, in addition, zero has meaning and represents the absence of the phenomenon being measured. (see Nominal Level Data, Ordinal Level Data, or Interval Level Data also)

Relative Frequency - The proportion of the total frequencies that fall into any given class interval in a frequency distribution. (see Cumulative Frequency and Frequency Distribution also) 



S
Sample - A portion of the whole.

Statistic - A descriptive measure of a sample.

Statistics - A science dealing with the collection, analysis, interpretations, and presentation of numerical data.

Stem and Leaf Plot - A plot of numbers constructed by dividing each number into two parts, a stem and a leaf. The leftmost digits are the steams and the rightmost digits are the leaves. (see Frequency Polygon, Histogram, Ogive, or Pie Chart also) 



T

Telescoping Error - When a respondent attributes an event to a wrong time period. 



U

Ungrouped Data - Raw data, or data that have not been organized into a frequency distributions. (see Grouped Data also) 



V

Variance - The average of the squared deviations aabout the arithmetic mean for a set of numbers.

Variable- A characteristic that differs from case to case and defines what is measured or classified.


W
            Wording Effects- Confusing or leading questions that introduce a bias and effect a survey's outcome.




Z

         Z Score - the number of standard deviations a value is above or below the mean of a set of numbers. 


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  • Stats Vocabulary.doc - on Jan 13, 2009 7:46 AM by Richard Groeneveld (version 1)
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