The mean, mode, and median of the data set: 5, 4, 10, 12, 1, 5, 3, 7, 15, and 8 is respectively
Answers
Given Data => 5, 4, 10, 12, 1, 5, 3, 7, 15, 8
1 , 3 , 4 , 5 , 5 , 7 , 8 , 10 , 12 , 15
Mean => The mean is the average of the numbers.
mean = sum of observations
number of observations
mean = 1 + 3 + 4 + 5 + 5 + 7 + 8 + 10 + 12 + 15 = 70 = 14
5 5
Mode => The mode is the number in a data set that occurs most frequently.
Mode = 5
Median =>The median of a set of numbers is the middle number in the set.
Median =
Median = 10 = 5
2
Median = 5+6 = 11 = 5.5
2 2
Mean = 14 , Mode = 5 , Median = 5.5
hope it helps !!
Given:
A set of numbers, 5, 4, 10, 12, 1, 5, 3, 7, 15, and 8.
To Find:
The mean, median, and mode of the given data are?
Solution:
1. The mean of the n numbers a1, a2, a3,...., an is calculated by using the formula,
=> Mean = (a1+a2+..+an)/n.
=> Mean = ( 5 + 4 + 10 + 12 + 1 + 5 + 3 + 7 + 15 + 8 )/10,
=> Mean = (70/10,
=> Mean = 7.
2. The Mode of a given set of numbers is defined as the number which repeated for a maximum number of times,
=> From the given data,
=> 5 has repeated for 2 times,
=> 4 has repeated for 1 time,
=> 10 has repeated for 1 time,
=> 12 has repeated for 1 time,
=> 1 has repeated for 1 time,
=> 3 has repeated for 1 time,
=> 15 has repeated for 1 time,
=> 8 has repeated for 1 time.
=> 5 has repeated for a maximum number of times.
=> Mode = 5.
3. The median is calculated as follows,
=> Arrange the set of numbers in ascending order,
=> 1, 3, 4, 5, 5, 7, 8, 10, 12, 15.
=> As the number of entries is even, the median is calculated by taking the average of the two middlemost values,
=> Two middlemost values = 5th term and 6th term,
=> Median = (5+7)/2,
=> Median = 6.
Therefore, the mean, mode, and median of the given data are 7, 5, and 6 respectively.