2 The RHU recorded the number of vaccination in the past 7 days. The recorded daily number rollees are as follows: 20, 50, 20, 70, 50, 40, 30 Fine Mean, Median, Mode and Range?
Answers
Step-by-step explanation:
Given :-
The RHU recorded the number of vaccination in the past 7 days. The recorded daily number rollees are as follows: 20, 50, 20, 70, 50, 40, 30
To find :-
- Mean
- Median
- Mode
- Range
Solution :-
Given observations are 20,50,20,70,50, 40,30
Mean :-
Sum of all observations
= 20+50+20+70+50+50+30
= 280
Number of observations = 7
We know that
Mean = Sum of observations/Number of observations
=> Mean = 280/7
=> Mean = 40
Therefore, Mean of the data = 40
Median :-
Given observations are 20,50,20,70,50, 40,30
On writing them into ascending order then
20,20,30,40,50,50,70
Number of observations = 7
n = 7 is an odd number
We know that
If the number of observations is n , an odd number then the median is (n+1)/2 th observation.
So, Median = (7+1)/2 th observation
=> Median = 8/2 th observation
=> Median = 4th observation
4th observation = 40
Therefore, Median of the data = 40
Mode :-
Given observations are 20,50,20,70,50, 40,30
On writing them into ascending order then
20,20,30,40,50,50,70
20 and 50 are appeared two times each
We know that
Mode is the most frequently occurring observation in the given data
Therefore, Mode = 20 and 50
Range :-
Given observations are 20,50,20,70,50, 40,30
Heighest value = 70
Lowest value = 20
We know that
Range = Heighest value - Lowest value
=> Range = 70-20 = 50
Therefore, Range = 50
Answer :-
- Mean = 40
- Median = 40
- Mode = 20 and 50
- Range = 50
Used formulae:-
→ Mean = Sum of observations/Number of observations
→ If the number of observations is n , an odd number then the median is (n+1)/2 th observation
→ Mode is the most frequently occurring observation in the given data
→ Range = Heighest value - Lowest value
Given :
The RHU recorded the number of vaccination in the past 7 days. The recorded daily number rollees are as follows: 20, 50, 20, 70, 50, 40, 30.
To Find :
Mean , Median , Mode and Range .
Solution :
Mean :
Mean is calculated by using,
Mean = Sum of all Observations/Total no.of Observations
⇒ Mean = (20 + 50 + 20 + 70 + 50 + 40 + 30)/7
⇒ Mean = 280/7
⇒ Mean = 40 .
Median :
Writing the Daily number of rollees in Ascending Order.
20 , 20 , 30 , 40 , 50 , 50 , 70
Total Number of Observations = 7
As we know that,
The number of observation is odd , The Median is (n + 1)/2 th Observation .
so, Median = (n + 1)/2
⇒ Median = (7+1)/2
⇒ Median = 4th Observation
⇒ Median = 40
Mode :
Writing the Daily number of rollees in Ascending Order.
20 , 20 , 30 , 40 , 50 , 50 , 70
20 and 50 appeared 2 times each.
As we know that, Mode is Frequently Occuring Observation.
so, Mode = 20 and 50
Range :
Highest Value = 70
Lowest Value = 20
so, as we know that,
Range = Highest value - Lowest Value
⇒ Range = 70 - 20
⇒ Range = 50
FINAL ANSWER :
Mean = 40
Median = 40
Mode = 20 and 50
Range = 50
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Formula's Used :
Mean = Sum of all Observation/Total no.of Observations
Median = when n is odd the Meadian of the given data is calculated by Median = (n + 1)/2 th Observation
Mode = Most Frequently occuring observation in the given data
Range = Highest Value - Lowest Value