WBBSEClass XMathematicsStatistics04 Mark2024 Easy

QQuestion

Find the mean by any suitable method from the following frequency distribution table

Class Interval Frequency
85 – 105 3
105 – 125 12
125 – 145 18
145 – 165 10
165 – 185 5
185 – 205 2

Exam-ready answer 04 Mark

Answer

Class Interval mid-point (x) Frequency (f) fx
85 – 105 95 3 285
105 – 125 115 12 1380
125 – 145 135 18 2430
145 – 165 155 10 1550
165 – 185 175 5 875
185 – 205 195 2 390
Total Σf = 50 Σfx = 6910

Mean = Σfx\over Σf

= 6910\over 50\

= 138.2

The mean of the distribution is 138.2.

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