41. Mean and SD of a given · set of
observations is 1.500 and 400
respectively. If there is an increment of
100 in the first year and each observation
is hiked by 20% in the second year, then
find new mean and SD.
a) 1600, 480 b) 1920, 580
c) 1920, 480
d) 1600, 400
Answers
Given : Mean = 1500 & SD = 400 , there is an increment of 100 in the first year and each observation is hiked by 20% in the second year
To find : New Mean & SD
Solution:
Mean = 1500
SD = 400
Mean = ∑ xi / n
SD = √ ( ∑ ( xi - Mean ) ² / n)
there is an increment of 100 in each observation in the first year
=> New Mean = 1500 + 100 = 1600
As each observation in increased by 100 & mean is also increased by 100
Hence no impact on SD
=> SD = 400
Mean = 1600 & SD = 400 After 1st Year
Next year each observation increased by 20 %
Hence New Mean = 1600 + (20/100)1600 = 1920
as Each observation and Mean is increased by 20 %
Hence Difference between mean & each observation is also increased by 20 %
Hence New SD = 400 + (20/100)400 = 480
New Mean = 1920 & SD = 480
option C is correct
Learn More:
The mean and standard deviation of 20 observations are found to be ...
https://brainly.in/question/7794113
Assuming that the height of group is normally, find the mean and ...
https://brainly.in/question/14736666
Calculate mean and standard deviation from the following ...
https://brainly.in/question/9540877
Answer:
1920, 480
Step-by-step explanation:
Hop it helps. Please mark my answer as brainliest.
