Mathematics

Mathematics

Problem

A biologist counted the number of plants in 60 sample quadrats and recorded the grouped data as shown below: Given class intervals and frequencies: 0–5 (6), 6–10 (8), 11–15 (12), 16–20 (15), 20–24 (11), 25–29 (8) Study the given information and answer the following. a. (i) Point out the inconsistencies or overlaps (if any) in the stated class intervals. b. (ii) Rewrite a correct set of continuous class boundaries so that the classes are mutually exclusive and exhaustive. c. (iii) Construct a ‘more than’ cumulative frequency table for the corrected distribution and draw its ogive on graph paper. d. (iv) Using the ogive, determine the number of quadrats that contained more than 18 plants.

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