Mathematics
In a collection of data, there are 5 numbers and the numbers in the data are 3, 4, 12 and 13. If the median is 12, then what can be maximum value of mean of the data?
Related Questions
There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be -3.5. The mean of the given numbers is :
49.5
53
46.5
56.5
There are 10 observations x1, x2, x3, ….., x10 in a data. The first five elements x1, x2, ….., x5 are placed by x1 + 5, x2 + 5, ….., x5 + 5 respectively. Also, the next five elements x6, x7, ….., x10 are placed by x6 - 5, x7 - 5, …, x10 - 5 respectively. Calculate the overall change in the mean of the data.
In an office, mean of salaries of employees is ₹1,00,000 and median is ₹80,000. An employee will be considered, Grade A officer if his income is at least ₹85,000. Based on the above information check the validity of the following statements.
(i) Number of Grade A officers is more than or equal to number of non Grade A officers.
(ii) Mean of salaries of Grade A officers is more than ₹1,00,000.