Question

collect data in decibels of 10 different thing in terms of loudness. arrange the data in ascending order & find mean,median & mode for the same

Answer 1

Solution :-

Instead of 10, I am presenting a list of 11 different things in terms of loudness in decibels because of calculation of mode.

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 (approximately)

Calculation of Mode :-

Mode is the value that appears most often in a set of data. In the given set of data the value that appears most of the times is 100.

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

Answer.

Answer 2

Answer:

Now, we will arrange the data in ascending order.

Conversation in a Restaurant - 60 dB.

Vacuum Cleaner - 70 dB.

Dishwasher - 80 dB.

Boeing 737 Before landing - 90 dB.

Boeing 707 Before Landing - 100 dB.

Hand Drill - 100 dB.

Live Rock Music - 110 dB.

Thunderclap - 120 dB.

Step-by-step explanation:

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