Question

Find the median of the following data: 25, 34, 31, 23, 22, 26, 35, 29, 20, 32

Answer 1

Hint: Here, first find the sum of all numbers and count how many numbers this data has. Apply means formula i.e. (sum of numbers ÷ total numbers) to get the mean of the data. Always find the mean in decimal form (if possible) not in improper fraction.

Complete step by step answer:
Given data is 25, 34, 31, 23, 22, 26, 35, 29, 20, and 32.
There are 10 numbers.
Sum of numbers = 25 + 34 + 31 + 23 + 22 + 26 + 35 + 29 + 20 + 32 = 277
We have, Mean = $\dfrac{{{\text{Sum of numbers}}}}{{{\text{Total numbers}}}}$
⇒ Mean = \[\dfrac{{277}}{{10}} = 27.7\]
Therefore, the mean of the given data is 27.7


Note:
The above question is a basic statistics problem. Here each number has frequency 1, so the mean can be simply calculated by dividing the Sum of all terms by the total number of terms.
Alternatively, you can find the mean of the given data by dividing each given term by 10 (as in this question the number of terms is 10) and add all the results obtained to get the mean of all given data. That is, Mean = 2.5 + 3.4 + 3.1 + 2.3 + 2.2 + 2.6 + 3.5 + 2.9 + 2.0 + 3.2 = 27.7, this result is the same as obtained above.
This method will be easy to solve in the case when the number of terms given is 10, 100 or any multiple of 10 as we can easily divide any number by multiple of 10. Although this method is valid for any number of terms.