Question

Collect data (in decibels) of 10 different things in terms of loudness. Arrange the data in ascending order and final mean, mode and median for the same

Answer 1

I have given answer above

Answer 2

Hey mate....


1) Jet Take Off                                    -  150 dB
2) Firearms                                         -  140 db
3) Military Jet Take Off from 
 Aircraft Carrier                                   -   130 dB
4) Thunderclap                                   -   120 dB
5) Live Rock Music                             -   110 dB
6) Hand Drill                                       -    100 dB
7) Boeing 707 Before Landing           -    100 dB
8) Boeing 737 Before Landing           -      90 dB
9) Dishwasher                                    -      80 dB
10) Vacuum Cleaner                          -      70 dB
11) Conversation in a Restaurant      -       60 dB
_________________________________________

Now, we will arrange the data in ascending order.

1) Conversation in a Restaurant   -  60 dB
2) Vacuum Cleaner                       -  70 dB       
3) Dishwasher                               -  80 dB
4) Boeing 737 Before landing       -   90 dB
5) Boeing 707 Before Landing      - 100 dB
6) Hand Drill                                  - 100 dB
7) Live Rock Music                        - 110 dB
8) Thunderclap                              - 120 dB
9) Military Jet Take Off From
Aircraft Carrier                               - 130 dB
10) Firearms                                  - 140 dB
11) Jet Take Off                             - 150 dB
_____________________________________

N = 11                                          Σ x = 1150
_____________________________________

Calculation of Arithmetic Mean :-

Arithmetic Mean = Σx/N

⇒ 1150/11

Arithmetic Mean = 104.5454 or 104.55

Therefore, Mode of the given set of data is 100

Calculation of Median :-

N = 11 

Median = (N + 1)/2

⇒ (11 + 2)/2

⇒ 12/2

Median = 6th item of the individual series, which is 100.

Therefore, Median is also 100.

Mean = 104.55 ; Mode = 100 ; Median = 100

Hope it helps ❤️