Representative Values

REPRESENTATIVE VALUES

For measurement of data we required accuracy the representative value of a series of measurements is the one which we think is closest to the real value.

Average

Simply we can define average as to the sum of total numbers divided by total number of object.

Sums of data divided by the number of items in the data will give the mean average. Averages are often used in sports like batting averages, bowling average , goal per match ,smash in table tenis.

SOLVED EXAMPLES

Questions:  1.If the average temperature of Mumbai in the first week of September was 30 degrees, the temperature would have been taken each day over all the 7 days. Determine the average temperature .

Sol.

Average Temperature for 7 days

Questions:  2.Get the average of the following set of numbers:

5,4,12,2,1,6

Solution:  Step 1: Find the sum:

Sum = 5+4+12+2+1+6= 30

Step 2: Divide 30 by 6 (the total number of numbers)

30 divided by 6 is 5, so the average is 5

Questions:

Questions 1. Get the average of the following set of numbers:5,10,20,5,10

Questions2. To calculate the average number of days in a month we would first establish how many days there are in each month (assuming that it was not a leap year):

Questions 3. The …………..of a series of measurements is the one which we think is closest to the real value of the said measurement.

Answers:

Solution:1. 10  

Solution:2. 30.42

Solution:3.  representative value  

Questions 1 .Get the average of the following set of numbers: 5,10,20,5,10

Solution: Find the sum:

Sum = 5+10+20+5+10=50

Divide the 50 by 5 (the total number of numbers added)

50 divided by 5 is 10, so 10 is the average.        

Questions 2.To calculate the average number of days in a month we would first establish how many days   there are in each month (assuming that it was not a leap year):

Solution:         

Next we add all the numbers together: 31 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 30 + 31 = 365

Finally we divide the answer with the number of values in our data set in this case there are 12 (one for each month counted). 

So the mean average is 365 ÷ 12 = 30.42.

The average number of days in a month, therefore, is 30.42.

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