11th Revision Quiz: Statistics-01 (18/04/21)

The mean and variance of seven observations are 8 and 16, respectively. If 5 of the observation are 2,4,10,12,14, then the product of the remaining two observations is :

The mean and the median of the following ten numbers in increasing order

10, 22, 26, 29, 34, x, 42, 67, 70, y

are 42 and 35 respectively, then  is equal to:

A scientist is weighing each of 30 fishes. Their mean weight worked out is 30 gm and a standard deviation of 2 gm. Later, it was found that the measuring scale was misaligned and always under reported every fish weight by 2 gm. The correct mean and standard deviation (in gm) of fishes are respectively:

If the data x₁, x₂, …… x₁₀ is such that the mean of first four of these is 11, the mean of the remaining six is 16 and the sum of squares of all of these is 2,000; then the standard deviation of this data is: