Mode = 2 × Median – 3 × Mean.

The age of 100 persons present in a workshop is given in the following table. Find the average age of 100 people (by any method): Age Group Number of People 10 - 20 8 20 - 30 12 30 - 40 20 40 - 50 22 50 - 60 18 60 - 70 20

State True or False: The average of n numbers is x̄. If the sum of first (n−1) numbers is K, then nth number is (n−1) x̄ + K.

If A and M be the arithmetic mean and median of first ten natural numbers, then relation between them will be - (a) A > M (b) A < M (c) A = (d) A = M

State True or False: The Mode of the data 5, 2, 4, 3, 5, 2, 5, 2, 5, 2 is 2.

The median of the numbers 8, 15, 10, 11, 7, 9, 11, 13 and 16 is _____.

Three values ​​of a variable are 4, 5 and 7, if their frequencies are p - 2, p + 1 and p - 1 respectively and the Mean is 5.4, then the value of p is:

27, 31, 46, 52, x, y + 2, 71, 79, 85, 90 are in increasing order. If the median is 64, then the value of x + y is (a) 125 (b) 127 (c) 128 (d) 126

Find the mean by any suitable method from the following frequency distribution table Class Interval Frequency 85 - 105 3 105 - 125 12 125 - 145 18 145 - 165 10 165 - 185 5 185 - 205 2

The mean of a frequency distribution is 7 and Σfx = 140, then find the value of Σf

Construct the table of cumulative frequency (greater than type) and draw the ogive from the following frequency distribution : Class Frequency 0 - 10 7 10 - 20 10 20 - 30 23 30 - 40 50 40 - 50 6 50 - 60 4

If 6, 8, 10, 12, 13, x are in increasing order and their mean and median are equal, then find the value of x.