Projek assignment 6
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This document provides instructions for representing grouped data using a histogram, frequency polygon, and ogive. It includes the steps to construct a frequency table from sample data, and then draw the histogram, frequency polygon, and ogive based on the frequency table. The histogram, frequency polygon, and ogive are graphical representations that organize and compare frequencies of data within ranges.
Projek assignment 6
- 1. Represent grouped data by using histogram, frequency polygon and ogive
- 2. To construct / complete a frequency table 30 58 53 67 56 51 61 56 54 75 71 31 63 39 41 50 52 46 72 50 42 60 34 78 45 76 43 66 48 63 86 80 64 66 53 70 52 59 65 61 Tally Marks Frequency Complete the class interval 30 - 39 4 Click to show 40 - 49 6 Tallying 50 - 59 12 Click to show 60 - 69 10 Frequency 70 - 79 6 Click to show 80 - 89 2
- 3. To Draw A Histogram Marks Freq Mid point Scale : x-axis : 2 cm to 10 marks Frequency 30-39 4 34.5 y-axis : 2 cm to 2 students 40-49 6 44.5 12 50-59 12 54.5 60-69 10 64.5 10 70-79 6 74.5 80-89 2 84.5 8 6 4 2 30-39 40-49 50-59 60-69 70-79 80-89 Marks 2 cm x-axis is marked with class interval
- 4. To Draw A Frequency Polygon Marks Freq Mid point Scale : x-axis : 2 cm to 10 marks Frequency 20-29 0 24.5 y-axis : 2 cm to 2 students 30-39 4 34.5 12 40-49 6 44.5 50-59 12 54.5 10 60-69 10 64.5 70-79 6 74.5 8 80-89 2 84.5 6 90-99 0 94.5 4 Ends with frequency = 0 2 24.5 34.5 44.5 54.5 64.5 74.5 84.5 94.5 Starts with Marks frequency = 0 x-axis is marked with midpoint 2 cm
- 5. Frequency polygon Scale : x-axis : 2 cm to 10 marks y-axis : 2 cm to 2 students Frequency Frequency polygon can 12 be drawn from a 10 histogram 8 6 4 2 34.5 44.5 54.5 64.5 2 cm Marks x-axis is marked with midpoint
- 6. To Draw An Ogive Marks Frequency Upper Boundary Cumulative Frequency 20-29 0 (29 + 30) / 2 = 29.5 0 30-39 4 (39 + 40) / 2 = 39.5 0+4=4 40-49 6 (49 + 50) / 2 = 49.5 4 + 6 = 10 50-59 12 (59 + 60) / 2 = 59.5 10 + 12 = 22 60-69 10 (69 + 70) / 2 = 69.5 22 + 10 = 32 70-79 6 (79 + 80) / 2 = 79.5 32 + 6 = 38 80-89 2 (89 + 90) / 2 = 89.5 38 + 2 = 40 Complete the Upper Boundary Click to show Students must determine the last value for Complete the Cumulative last cumulative frequency equal to the Frequency number of the frequency given in the Click to show questions.
- 7. Cumulative To Draw An Ogive Frequency Scale : 40 y-axis is marked x-axis : with 2 cm to 10 marks 35 Cumulative Frequency y-axis : 30 2 cm to 5 students 25 20 15 x-axis is marked 10 with Upper Boundary 5 0 Marks 29.5 39.5 49.5 59.5 69.5 79.5 89.5 2 cm