score of matches held in past 11 years is given as follows - 14,16,12,13,14,16,13,10,14,18,16 find the medium, mode, mean and range
Answers
Given : score of matches held in past 11 years , 14,16,12,13,14,16,13,10,14,18,16 ,
To find : the medium, mode, mean and range
Solution:
arrange the score in ascending order
10 , 12 , 13 , 13 , 14 , 14 , 14 , 16 , 16 , 16 , 18
Total 11 Data points
Range = 18 - 10 = 8
Median = 6th data point 14
14 & 16 repeated maximum 3 times
Hence Dual Mode
14 , 16
Mean = (10 +12 + 13 + 13 + 14 + 14 + 14 + 16 + 16 + 16 +18 )/11 = 156/11
= 14.18
Mean = 14.18
Median = 14
Mode = 14 , 16
Range = 8
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Answer:
Mean=14.18
Median=14
Mode=14,16
Range=8
Step-by-step explanation:
To find :- Range, Mode, Median, Mean
Range=Arrange the score in ascending order
10,12,13,13,14,14,14,16,16,16,18
total 11 data points
range = highest term - lowest term
18-10=8
range = 8
Median=(n+1/2)th
(11+1/2)th
(12/2)th
6th observation is 14
so,median =14
Mode=14&16 repeated 3 times
hence dual mode
mode=14&16
Mean=no of observation/total no of observation
10+12+13+13+14+14+14+16+16+16+18/11
156/11
mean=14.18
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