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Statistics — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSStatistics5 Marks
Question
Construct a frequency polygon for the following data:
Class$-$Intervals $10 - 14$ $15 - 19$ $20 - 24$ $25 - 29$ $30 - 34$
Frequency $5$ $8$ $12$ $9$ $4$
✓

Answer

The class intervals are inclusive. We will first convert them into the exclusive form.
Class$-$Interval Frequency
$9.5 - 14.5$ $5$
$14.5 - 19.5$ $8$
$19.5 - 24.5$ $12$
$24.5 - 29.5$ $9$
$29.5 - 34.5$ $4$
Steps:
  1. Draw a histogram for the given data.
  2. Mark the mid$-$point at the top of each rectangle of the histogram drawn.
  3. Also, mark the mid$-$point of the immediately lower class$-$interval and mid$-$point of the immediately higher class$-$interval.
  4. Join the consecutive mid$-$points marked by straight lines to obtain the required frequency polygon.
The required frequency polygon is as follows:
Image

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