Frequency Distribution A representation, in a tabular format, which displays the number of observations within a given interval. The intervals must be mutually exclusive (each score must belong to exactly one class) and exhaustive (Including every possible element).
Question Howdo we construct a frequency distribution table?
Let’s Try!!! Agesof 50 men randomly selected from a population who died in gunfire are given. Construct a frequency distribution table having 7 classes.
General Process of Constructing a Frequency Table STEP 1: Determine the range. Range (R)= Highest Value – Lowest ValueExample in data: 29,55,65,23,45,86,44 Find Range
STEP 2. Determine the tentative number of classes (k) Note: These classes are usually specified in question. The number of classes should be between 5 and 20. The actual number of classes may be affected by convenience or other subjective factors.
STEP 3. Find the class width by dividing the range by the number of classes. Rangeclass width or class mark = number of classes R⇔ c= k (Always round – off )
STEP 4. Determine the frequency for each class by referring to the tally columns and present the results in a table.
When constructing frequencytables, the following guidelinesshould be followed. The classes must be mutually exclusive. That is, each score must belong to exactly one class. Include all classes, even if the frequency might be zero.
Allclasses should have the same width, although it is sometimes impossible to avoid open – ended intervals such as “65 years or older”. The number of classes should be between 5 and 20.
Using Table: What is the lower class limit of the highest class? Upper class limit of the lowest class? Find the class mark of the class 43 – 51. What is the frequency of the class 16 – 24?
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