Question
In a company with 100 employees, 45 earn Rs. 20,000 per month, 25 earn Rs. 30,000, 20 earn Rs.40,000, 8 earn Rs. 60,000, and 2 earn Rs. 150,000. The median of the salaries is
The correct answer is
Rs. 30,000
To find the median salary among the employees, we need to follow these steps:
- Arrange the Salaries in Ascending Order: We list out all the salaries in ascending order and count how many employees fall into each salary category. Given:
- 45 employees earn Rs. 20,000
- 25 employees earn Rs. 30,000
- 20 employees earn Rs. 40,000
- 8 employees earn Rs. 60,000
- 2 employees earn Rs. 150,000
- Determine the Location of the Median: With 100 employees, the median will be the average of the 50th and 51st salaries.
- Count Up to Find the Median:
- First 45 employees (1 to 45): Rs. 20,000
- Next 25 employees (46 to 70): Rs. 30,000
- The 50th and 51st persons are among the ones earning Rs. 30,000.
Therefore, the median salary is Rs. 30,000.
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Important Questions from Mean Median Mode
- The median of the following set of numbers: 154, 130, 144, 137, 156, 146, 138, 149, 160, 138 is:
- Let $X$ be a continuous random variable whose cumulative distribution function (CDF)
$F_X(x) = \begin{cases} 0 & x < t \\ \frac{x-t}{4-t} & t \le x \le 4 \\ 1 & x \ge 4 \end{cases}$
If the median of $X$ is $3$, then what is the value of $t$? - The elements of the dataset $\{-5,1, a, 5, b\}$ are in ascending order. If both mean and median of the dataset are equal to 3, what is the value of $b$?
- The sample average of 50 data points is 40. The updated sample average after including a new data point taking the value of 142 is ________.
The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam. From the data presented above, which one of the following is CORRECT?
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