In a mathematics test given to 15 students, the following marks (out of 100) are recorded. 41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60 Find the mean, median and mode of this data.
Answers
Answered by
430
Hello,
Solution:
1) Mean = sum of all observation/ Total number of observation
Total Students = 15
Value of observation= 41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60
Mean =
Median:
1) Arrange data in ascending order
39,40,40,41,42,46,48,52,52,52,54,60,62,96,98
2) Total numbers of observation= 15
Odd: (n+1)/2
=(15+1)/2 = 8 th element is median
Median = 52
Mode:
1) Arrange data in ascending order
39,40,40,41,42,46,48,52,52,52,54,60,62,96,98
2) Count the frequency of each observation,the observation having most frequency is the mode
So, 52 appears 3 time,maximum time
Mode = 52
Hope it helps you.
Solution:
1) Mean = sum of all observation/ Total number of observation
Total Students = 15
Value of observation= 41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60
Mean =
Median:
1) Arrange data in ascending order
39,40,40,41,42,46,48,52,52,52,54,60,62,96,98
2) Total numbers of observation= 15
Odd: (n+1)/2
=(15+1)/2 = 8 th element is median
Median = 52
Mode:
1) Arrange data in ascending order
39,40,40,41,42,46,48,52,52,52,54,60,62,96,98
2) Count the frequency of each observation,the observation having most frequency is the mode
So, 52 appears 3 time,maximum time
Mode = 52
Hope it helps you.
patelkash2003:
Thanks
Answered by
167
Hi there! ☺️
_______________________
Refer to the attached picture for your solution.
Regrets for handwriting _/\_
_______________________
What is Mean?
The average of a given set of numbers is called the Arithmetic mean, or simply the mean, of the given numbers.
Mean =
_______________________
What is Median?
After arranging the given data in the ascending or descending order of magnitude, the value of the middle most observation, is called the median of the data.
Formula to find the median :)
Method : Arrange the data in increasing or decreasing order of magnitude. Let the total number of observation be n.
(i) If n is odd, then median
⇒ Value of observation.
(ii) If n is even, then median
⇒ mean of and observations.
_______________________
Mode : The most frequently occurring digits, is called mode of the data.
_______________________
Thanks for the question!
☺️☺️☺️
_______________________
Refer to the attached picture for your solution.
Regrets for handwriting _/\_
_______________________
What is Mean?
The average of a given set of numbers is called the Arithmetic mean, or simply the mean, of the given numbers.
Mean =
_______________________
What is Median?
After arranging the given data in the ascending or descending order of magnitude, the value of the middle most observation, is called the median of the data.
Formula to find the median :)
Method : Arrange the data in increasing or decreasing order of magnitude. Let the total number of observation be n.
(i) If n is odd, then median
⇒ Value of observation.
(ii) If n is even, then median
⇒ mean of and observations.
_______________________
Mode : The most frequently occurring digits, is called mode of the data.
_______________________
Thanks for the question!
☺️☺️☺️
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