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13 November, 23:29

Collect data (in decibels) of 10 different things in term of loudness. Arrange the data in ascending order & find mean, median & mode for the same.

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  1. 14 November, 02:13
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    Whisper-20dB

    Quiet Residence-30dB

    Soft stereo in Residence-40dB

    Average Speech-60dB

    Cafeteria-80dB

    Pneumatic Jackhammer-90dB

    Loud crowd noise-100dB

    Accelerating Bike-100dB

    Rock concert-120dB

    Jet Engine (75 ft away) - 140dB

    (1) Mode=100dB (since 100 is occurring the maximum no. of times, i. e. it has the highest frequency of 2)

    (2) Mean=sum of observations/Total number of observations

    = (20+30+40+60+80+90+100+100+120+140) / 10

    =770/10=10dB

    (3) Median = 1/2[{n/2}th observation + { (n/2) + 1}th observation], where, n=total no. of observations

    So, 1/2[{10/2}th observation + { (10/2) + 1}th observation]

    =1/2[5th observation+6th observation]

    =1/2[80+90] [Because:5th observation=80dB and 6th=90dB]

    =1/2 (170)

    =85

    Therefore, median=85dB
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