A statistical table is a method used to present statistical data by arranging the numbers systematically and describing some mass processes. This table can be seen as a representation of a subject and a predicate. The group of the phenomenon discussed in the table is the subject. The properties that describe the subject is the predicate. These tables consist of vertical columns and horizontal rows. The subject is entered in the rows of the table, while the predicate is entered in the columns. The column and row intersection form the cells. This is where the numerical data will be arrayed. The meaning of every number is given by the heading of the column and row.
T score table and z score table are the two commonly used statistical tables. Let us discuss in detail.
T Score Table
William Sealy Gosset discovered the T score table. While discussing statistics and probability, this table is a member of a continuous distribution of probability that arises when the normally distributed population mean is calculated. This is done when the standard deviation of the population is unknown and the sample size is few. This shows the description of samples drawn from a complete population. The T score table for each size of a sample will be different. Greater the sample, the more the table shows the resemblance of a normal distribution.
The formula for t-distribution is given by
Z Score Table
This table is the standard deviation signed number by which a data or an observation is above the mean. This is a table for the values of ϕ, indicating the values of the cumulative distribution function of the normal distribution. A positive Z score table denotes the indication of a data that is above the mean. A negative Z score table shows the indication of a data that is below the mean. This table is used in comparing a sample to a standard normal deviation, even though they may be defined without normality assumptions.
z score is a dimensionless quantity. We calculate it by subtraction of the population mean from a single raw score and then the division of their difference by the standard deviation of the population. The following equation is used.
z = (x – μ)/ σ.
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Frequently Asked Questions
Name two commonly used statistical tables.
T-score table and Z score table are two commonly used statistical tables.
Give the formula for t distribution.
The formula for t distribution, t = (x̄-μ)/(s/√N)
Who discovered the T score table?
The T score table was discovered by William Sealy Gosset.
What do you mean by Z-score?
A Z-score is a numerical measurement that describes a value’s relationship to the mean of a group of values.
Give the equation for Z score.
The Z score is given by, Z = (x – μ)/ σ.
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