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CBSE Class 10 Answered

The following data gives the information on the observed lifetimes (in hours) of 225 electrical components : __________________________________ | | lifetime (in hours) |        Frequency |__________________________________ | 0-20                                 10 |20-40                                35 |40-60                                52 |60-80                                61 |80-100                              38 |100-120                            29 __________________________________ DETERMINE THE MODAL LIFETIMES OF THE COMPONENT :
Asked by chpratik11 | 05 Jan, 2020, 07:12: PM
Expert Answer
Since, mode lies between 60 - 80
l = 60, h = 20, f0 = 52, f1 = 61, f2 = 38
Mode = l + (f1 - f0)/(2f1 - f0 - f2) × h
Mode = 60 + (61 - 52)/(2 × 61 - 38 - 52) × 20
Mode = 65.625
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