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
- Five integers are picked from 0 to 20, with possible repetitions, such that their mean is 12, median is 18, and they have a single mode of 20.
Ignoring permutations, the number of ways to pick these five integers is _____ A data set is given to be $[1, 2, 0, -1, -3, 1, 2, 0, 1]$.
The median of the data set is ____. (rounded off to the nearest integer)
- The following sequence of numbers is arranged in increasing order: 1, x, x, x, y, y, 9,16,18. Given that the mean and median are equal, and are also equal to twice the mode, the value of y is
- 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 mean absolute deviation about the median for the data 3, 9, 5, 3, 12, 10, 18, 4, 7, 19, 21 (rounded off to two decimal places) is ________________.
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