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Extra resources for Automotive science and mathematics
Applicants 5 18 42 27 8 100 Frequencies Height (inches) 40 30 20 10 61 64 67 70 73 Height of Trainees patterns in the data. In this case there is a clear tendency for the scores to cluster around the 66 to 68 mark, with rather more scores above this level than below it. 6 Importance of the shape of a frequency distribution Certain patterns in frequency charts and graphs indicate that some mathematical relationship exists between some aspects of the data being examined. Various methods are used to display data so that the patterns may be observed.
On the number scale, start at −2 and from this point move four steps in the plus direction, which takes you to +2. −2 + 4 = 2 −12 =3 −4 When dividing: like signs produce a plus (+) Unlike signs produce a minus (−). When multiplying and dividing directed numbers + − − + × × × × + − + − = = = = + + − − + − − + ÷ ÷ ÷ ÷ + − + − = = = = + + − − Subtraction of directed numbers To subtract a directed number use the normal method of subtraction and place the number to be subtracted beneath the other number; then change the sign of the number that is being subtracted and add the numbers together.
5 is the upper class boundary. Class width The class width is the difference between two successive lower class boundaries, or two successive upper class boundaries. 5 minus 59 5 = 3. The tally chart and frequency distribution One of the reasons for collecting data is to enable users to look for patterns that may indicate some trend, or relationship between various parts of the data. The tally chart is a chart that assists the user to assemble data, and it also shows patterns in frequency distribution.