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Math Examples of Averages

• Find the mode for given numbers 2, 1, 2, 4, 2, 5, 4, 5?

The value, which has maximum frequency of occurrence in any given data Set is described as Mode or the value which repeat itself maximum time in any data set is called mode.
Step1: The given data values are 2, 1, 2, 4, 2, 5, 4, 5.
In above data set we have 8 values, now we find the occurrence frequency of each element and then we find the mode.
2 is repeating 3 times,
1 is repeating 1 time,
4 is repeating 2 times,
5 is repeating 2 times,
Step2: The number '2' is repeating '3' times in data set so the mode is equals to 2 because this is repeating maximum time.

Find the mode for given numbers 44, 43, 43, 41, 44, 47, 48, 47, 47?

The value which has maximum frequency of occurrence in the given data Set is known as Mode or the value which repeat itself maximum time in any data set is called mode.
Step1: The given data values are 44, 43, 43, 41, 44, 47, 48, 47, 47,
In above data set we have 9 values, now we find the occurrence frequency of each element and then we find the mode.
44 is repeating 2 times,
43 is repeating 2 times,
41 is repeating 1 time,
47 is repeating 3 times,
48 is repeating 1 time.
Step2: The number '47' is repeating '3' times in data set so the mode is equals to 47 because this is repeating maximum time.

Find the mode for given numbers 22, 21, 22, 24, 22, 25?

The value which has maximum frequency of occurrence in the given data Set is known as Mode or the value which repeat itself maximum time in any data set is called mode.
Step1: The given data values are 22, 21, 22, 24, 22, 25,
In above data set we have 6 values, now we find the occurrence frequency of each element and then we find the mode.
22 is repeating 3 times,
21 is repeating 1 time,
24 is repeating 1 time,
25 is repeating 1 times,
Step2: The number '22' is repeating '3' times in data set so the mode is equals to 22 because this is repeating maximum time.

Find the mode for given numbers 14, 13, 13, 11, 41, 17, 18?

The value which has maximum frequency of occurrence in the given data Set is known as Mode or the value which repeat itself maximum time in any data set is called mode.
Step1: The given data values are 14, 13, 13, 11, 41, 17, 18,
In above data set we have 7 values, now we find the occurrence frequency of each element and then we find the mode.
14 is repeating 1 time,
13 is repeating 2 times,
11 is repeating 1 time,
41 is repeating 1 time,
17 is repeating 1 time,
18 is repeating 1 time.
Step2: The number '13' is repeating '2' times in data set so the mode is equals to 13 because this is repeating maximum time.

Find the mode for given numbers 4, 3, 3, 1, 4, 7, 8, 7, 7?

The value which has maximum frequency of occurrence in the given data Set is known as Mode or the value which repeat itself maximum time in any data set is called mode.
Step1: The given data values are 4, 3, 3, 1, 4, 7, 8, 7, 7,
In above data set we have 9 values, now we find the occurrence frequency of each element and then we find the mode.
4 is repeating 2 times,
3 is repeating 2 times,
1 is repeating 1 time,
7 is repeating 3 times,
8 is repeating 1 time.
Step2: The number '7' is repeating '3' times in data set so the mode is equals to 7 because this is repeating maximum time.

Evaluate the median of the given terms 6.4, 4.9, 1.5, 8.5, 3.4, 9.2?

In the Median then firstly we write the given statistical values in ascending order, in other word from lower order values to higher order values. After that we find the median or middle values. In mathematics, the median is found by two ways. The first one for even data Set and the second for odd data set. The formula for odd set data values is;
Median = (n + 1)/2,
Where ‘n’ is the total number of values present in data set.
And for even data set we simply add the two middle terms and then find their average.
Step1: The given statistical values set is,
6.4, 4.9, 1.5, 8.5, 3.4, 9.2,
Now we write the above data values in ascending order,
1.5, 3.4, 4.9, 6.4, 8.5, 9.2, in this data set the value of ‘n’ is six. Because the value of ‘n’ is even so that the given data set is even.
Step2: Now, we simply add the two middle terms and then find their average;
Median = (4.9 + 6.4)/2,
Median = (11.3)/2,
= 5.65.
From the above the median or middle value is 5.65.

Evaluate the median of the given terms 2.4, 1.9, 6.1, 7.5?

In the Median then firstly we write the given statistical values in ascending order, in other word from lower order values to higher order values. After that we find the median or middle values. In mathematics, the median is found by two ways. The first one for even data Set and the second for odd data set. The formula for odd set data values is;
Median = (n + 1)/2,
Where ‘n’ is the total number of values present in data set.
And for even data set we simply add the two middle terms and then find their average.
Step1: The given statistical values set is,
2.4, 1.9, 6.1, 7.5,
Now we write the above data values in ascending order,
1.9, 2.4, 6.1, 7.5, in this data set the value of ‘n’ is four. Because the value of ‘n’ is even so that the given data set is even.
Step2: Now, we simply add the two middle terms and then find their average;
Median = (2.4 + 6.1)/2,
Median = (8.5)/2,
= 4.25.
From the above the median or middle value is 4.25.

Evaluate the median of the given terms 22, 11, 44, 33, 55, 88, 77?

In the Median then firstly we write the given statistical values in ascending order, in other word from lower order values to higher order values. After that we find the median or middle values . In mathematics, the median is found by two ways. The first one for even data Set and the second for odd data set. The formula for odd set data values is;
Median = (n + 1)/2,
Where ‘n’ is the total number of values present in data set.
And for even data set we simply add the two middle terms and then find their average.
Step1: The given statistical values set is,
22, 11, 44, 33, 55, 88, 77,
Now we write the above data values in ascending order,
11, 22, 33, 44, 55, 77, 88, in this data set the value of ‘n’ is seven. Because the value of ‘n’ is odd so that the given data set is odd.
Step2: Putting the value of ‘n’ in given formula of odd data set,
Median = (n + 1)/2,
Median = (7 + 1)/2,
= 7/2 = 4.
From the above the median or middle value is 4th and the value is ‘33’.

Evaluate the median of the given terms 11, 14, 17, 12, 25?

In the Median then firstly we write the given statistical values in ascending order, in other word from lower order values to higher order values. After that we find the median or middle values. In mathematics, the median is found by two ways. The first one for even data Set and the second for odd data set. The formula for odd set data values is;
Median = (n + 1)/2,
Where ‘n’ is the total number of values present in data set.
And for even data set we simply add the two middle terms and then find their average.
Step1: The given statistical values set is,
11, 14, 17, 12, 25,
Now we write the above data values in ascending order,
11, 12, 14, 17, 25, in this data set the value of ‘n’ is five. Because the value of ‘n’ is odd so that the given data set is odd.
Step2: Putting the value of ‘n’ in given formula of odd data set,
Median = (n + 1)/2,
Median = (5 + 1)/2,
= 6/2 = 3.
From the above the median or middle value is 3rd and the value is ‘14’.

Evaluate the median of the given terms 6, 4, 7, 1, 5, 9, 11?

In the Median then firstly we write the given statistical values in ascending order, in other word from lower order values to higher order values. After that we find the median or middle values. In mathematics, the median is found by two ways. The first one for even data Set and the second for odd data set. The formula for odd set of data values is;
Median = (n + 1)/2,
Where ‘n’ is the total number of values present in data set.
And for even data set we simply add the two middle terms and then find their average.
Step1: The given statistical values set is,
6, 4, 7, 1, 5, 9, 11
Now we write the above data values in ascending order,
1, 4, 5, 6, 7, 9, 11, in this data set the value of ‘n’ is seven. Because the value of ‘n’ is odd so that the given data set is odd.
Step2: Putting the value of ‘n’ in given formula of odd data set,
Median = (n + 1)/2,
Median = (7 + 1)/2,
= 8/2 = 4.
From the above the median or middle value is 4th and the value is ‘1’.

Calculate the mean of the given data 100, 112, 121, 123, 125?

Mean in Statistics is defined as the average  value of a given  set of Numbers or Set of data. When we  calculate the Mean we add all values present in data set  and dividing the total sum by the total numbers scores. Mathematical expression of mean is given below,
Mean =   addition of all the values present in data set/ total numbers scores value
Step1:  We have the data set 100   112    121   123    125,
Step2: From the above expression of mean, we plugging all the values in the  given expression ,
Mean = (100 + 112 +121 +123 + 125)/5,
Mean = 581/5
Step3: Therefore the required mean is = 116.2.

Calculate the mean value of the given data 10.1, 11.2, 12.2, 12.3, 2.5?

Mean in Statistics is defined as the average  value of a given  set of Numbers or Set of data. When we  calculate the Mean we add all values present in data set  and dividing the total sum by the total numbers scores. Mathematical expression of mean is given below,
Mean = addition of all the values present in data set/ total numbers scores value
Step1:  We have the data set 10.1   11.2    12.2   12.3   2.5,
Step2: From the above expression of mean, we plugging all the values in the  given expression ,
Mean = (10.1 + 11.2 + 12.2 + 12.3 + 2.5)/5,
Mean = 57.9/5
Step3: Therefore the required mean is = 11.58.

Calculate the mean of the given data set 22, 33, 44, 55, 66, 77, 88?

Mean in Statistics is defined as the average  value of a given  set of Numbers or Set of data. When we  calculate the Mean we add all values present in data set  and dividing the total sum by the total numbers scores. Mathematical expression of mean is given below,
Mean =   addition of all the values present in data set/ total numbers scores value
Step1:  We have the data set  22   33    44   55    66     77     88,
Step2: From the above expression of mean, we plugging all the values in the  given expression ,
Mean  = (22 + 33 + 44 + 55 + 66 + 77 + 88)/7,
Mean  = 385/7
Step3: Therefore the required mean is = 55.

Determine the mean of the given set of data 10, 13, 12, 16, 14, 20, 21?

Mean in Statistics is defined as the average  value of a given  set of Numbers or Set of data. When we calculate the Mean we add all values present in data set  and dividing the total sum by the total numbers scores. Mathematical expression of mean is given below:
Mean =   addition of all the values present in data set/ total numbers scores value
Step1:  We have the data set  10     13     12     16     14     20   21 ,
Step2: From the above expression of mean, we plugging all the values in the  given expression ,
Mean  = (10 + 13 + 12 +16 + 14 + 20 + 21)/7,
Mean  = 106/7
Step3:Therefore the required mean is = 15.142.

Determine the mean of the given set of data values 20, 23, 22, 26, 24, 29?

Mean in Statistics is defined as the average  value of a given Set of Numbers or set of data. When we calculate the Mean we add all values present in data set  and dividing the total sum by the total numbers scores. Mathematical expression of mean is given below:
Mean =   addition of all the values present in data set/ total numbers scores value
Step1:  We have the data set  20     23     22     26     24     29 ,
Step2: From the above expression of mean, we plugging all the values in the  given expression ,
Mean  = (20 + 23 +22+26+24+29)/6,
Mean  = 144/6,
Step3:Therefore the required mean is = 24 .
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