Question

The following data gives the information on the observed life times (in hours) of 225 electrical components:Lifetimes (in hours) 0 - 20 20 - 40 40 - 60 60 - 80 80 - 100 100 - 120Frequency 10 35 52 61 38 29Determine the modal lifetimes of the components.

Answer 1

Answer:

65.6 hrs is Modal lifetimes of the components.

Step-by-step explanation:

Life time in hrs    Frequency     Cumulative Frequency

0-20                       10                    10

20-40                    35                    45

40-60                    52                    97

60-80                    61                    158

80-100                   38                    196

100-120                 29                     225

 Mode lies between 60-80      as 61 is max frequency

Estimated mode = 60  + 20 * ( 61 - 52)/( (61 -52) + (61 - 38))

= 60  + 20 * 9 /(32)

= 65.6

65.6 hrs is Modal lifetimes of the components.

Answer 2

Hope this will help you all