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Define Statistics and Raw Data. Present a tally and frequency table for the following shoe sizes: 4, 5, 3, 3, 5, 6, 5, 7, 5, 8, 5, 7, 5, 8, 9, 7, 7, 8, 9, 9, 10, 10, 7, 7, 8.

Mathematics

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here are the answers to Question 1:

1a(i)

  • Statistics is the science of collecting, organizing, analyzing, interpreting, and presenting data. It involves methods for drawing conclusions from data and making informed decisions.
  • Raw data refers to data collected in its original form, directly from the source, before any processing, organization, or analysis has been applied. It is unorganized and unsummarized.

1a(ii) The shoe sizes of 25 students are:
4, 5, 3, 3, 5, 6, 5, 7, 5, 8, 5, 7, 5, 8, 9, 7, 7, 8, 9, 9, 10, 10, 7, 7, 8.

1b) To prepare a tally and frequency table for the data, we count the occurrences of each shoe size.

Shoe SizeTallyFrequency
3II2
4I1
5IIII II7
6I1
7IIII I5
8IIII4
9III3
10II2
Total25
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