Question

In: Math

Using the 2 Superscript k Baseline greater than or equals n ​rule, determine the number of...

Using the

2 Superscript k Baseline greater than or equals n

​rule, determine the number of classes needed for the following data set sizes.

​a)

nequals

50

​b)

nequals

400

​c)

nequals

1250

​d)

nequals

2500

​a) The number of classes needed when

nequals

50is

nothing

.

​b) The number of classes needed when

nequals

400is

nothing

.

​c) The number of classes needed when

nequals

1250is

nothing

.

​d) The number of classes needed when

nequals

2500is

nothing

.

Solutions

Expert Solution

a)

According of rule, k must satisfied following inequality:

Taking log of both sides

That is k should be at least 6.

b)

According of rule, k must satisfied following inequality:

Taking log of both sides

That is k should be at least 9.

c)

According of rule, k must satisfied following inequality:

Taking log of both sides

That is k should be at least 11.

d)

According of rule, k must satisfied following inequality:

Taking log of both sides

That is k should be at least 12.


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