Question

Using the n2k≥n ​rule, determine the number of classes needed for the following data set sizes.

a) n=50

b) n= 400

c) n=500

d) n=2000

Answer 1

(a) The number of classes needed when n = 50 is given by:

k ln 2 ln 50

So,

k 6.

The smallest number for the number of classes when n = 50 using 2^k rule is 6.

(b)

For n = 400:

k ln 2 ln 400

So,

k 9.

So,

The nuber of classes needed = 9

(c) For n = 500:

k ln 2 ln 500

So,

k 9.

So,

The number of classes needed = 9.

(d) For n = 2000

k ln 2 ln 2000

So,

k 11.

So,

The number of classes needed = 11.