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WBBSEClass 10MathematicsStatistics04 Mark2023 Moderate

QQuestion

Find the mode of the following frequency distribution :

Class Frequency
50 – 59 5
60 – 69 20
70 – 79 40
80 – 89 50
90 – 99 30
100 – 109 6

Exam-ready answer • 04 Mark

Answer

Class Class boundary Frequency
50 – 59 49.5 – 59.5 5
60 – 69 59.5 – 69.5 20
70 – 79 69.5 – 79.5 40
80 – 89 79.5 – 89.5 50
90 – 99 89.5 – 99.5 30
100 – 109 99.5 – 109.5 6

Modal class = 79.5 – 89.5

  • = 79.5
  • =  50
  • = 40
  • = 30
  • =  10

Mode = 79.5 + (50 - 40\over 2×50 - 40 - 30) × 10

= 79.5 + (10\over 30) × 10

= 79.5 + (100\over 30)

= 82.833

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