The weekly wages of 14 employees in restaurant as follows. (in rupees) 625,525, 550, 750,775,650, 525,600,550,525, 700, 800, 725,525 Find the mean, median, mode and range of the given data.
Answers
Step-by-step explanation:
Given :-
The weekly wages of 14 employees in restaurant as follows. (in rupees) 625,525, 550, 750,775,650, 525, 600,550,525, 700, 800, 725,525 .
To find :-
Find the mean, median, mode and range of the given data. ?
Solution :-
Given that
The weekly wages of 14 employees in restaurant as follows. (in rupees) 625,525, 550, 750,775,650, 525, 600,550,525, 700, 800, 725,525 .
Mean :-
Sum of all observations = 625+525+550+ 750+775+650+525+600+550+525+700+800+725+525 = 8825
Number of all observations = 14
We know that
Mean = Sum of all observations/Number of all observations
=> Mean = 8825/14
=> Mean = 630.3571...
Therefore, Mean = Rs. 630.36
Median :-
On writing the given observations into ascending order then
525,525,525,525,550,550,600,625,650,700,,725,750,775,800
Number of all observations = 14
14 is an even number
We know that
If the number of observations is'n'an even number then Median of the data is the average of (n/2)th and (n/2)+1 th observations.
n/2th observation
= 14/2
= 7th observation
= 600
(n/2)+1 th observation
= 7+1 th observation
= 8 th observation
= 625
Median = (600+625)/2
=> Median = 1225/2
=> Median = 612.5
Therefore, Median = Rs.612.5
Mode :-
On writing the given observations into ascending order then
525,525,525,525,550,550,600,625,650,700,,725,750,775,800
525 occurs 4 times in the given data
We know that
Mode is the most frequent occuring observation of the given data .
Therefore , Mode = Rs. 525
Range :-
On writing the given observations into ascending order then
525,525,525,525,550,550,600,625,650,700,,725,750,775,800
Heighest value = 800
Lowest value = 525
We know that
Range = Heighest value-Lowest value
=> Range = 800-525
=> Range = 275
Therefore, Range = Rs. 275
Answer:-
i) Mean of the data = Rs. 630.36
ii) Median of the data = Rs. 612.5
iii) Mode of the data = Rs. 525
iv) Range of the data = Rs. 275
Used formulae:-
Mean :-
→Sum of all observations/Number of all observations
Median :-
→ If the number of observations is'n'an even number then Median of the data is the average of (n/2)th and (n/2)+1 th observations.
n/2th observation
Mode :-
→ Mode is the most frequent occuring observation of the given data .
Range :-
→ Heighest value-Lowest value