A horticulturalist takes a random sample of six month old seedlings from a nursery…

MATHEMATICS · Multi-part · CBSE · Mathematics · Statistics · Statistics

Problem

A horticulturalist takes a random sample of six month old seedlings from a nursery and measures their heights. The results are shown in the table.
Height ( hh mm)Frequency
300≤h<325300 \le h < 32512
325≤h<350325 \le h < 35018
350≤h<375350 \le h < 37542
375≤h<400375 \le h < 40028
400≤h<425400 \le h < 42514
425≤h<450425 \le h < 4506
(1) Display the data on a frequency histogram. (2) How many of the seedlings are 400 mm or higher? (3) What percentage of the seedlings are between 350 mm and 400 mm high? (4) In total there are 1462 seedlings in the nursery. Estimate the number of seedlings which measure: i less than 400 mm ii between 375 and 425 mm.

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