Answered

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a set of date consists of 225 observations. the lowest value of the data set is 2,403; the highest is

Sagot :

MrRoyal

Answer:

8 classes

Step-by-step explanation:

Given

[tex]Least = 2403[/tex]

[tex]Highest = 11998[/tex]

[tex]n = 225[/tex]

Required

The number of class

To calculate the number of class, the following must be true

[tex]2^k > n[/tex]

Where k is the number of classes

So, we have:

[tex]2^k > 225[/tex]

Take logarithm of both sides

[tex]\log(2^k) > \log(225)[/tex]

Apply law of logarithm

[tex]k\log(2) > \log(225)[/tex]

Divide both sides by log(2)

[tex]k > \frac{\log(225)}{\log(2)}[/tex]

[tex]k > 7.8[/tex]

Round up to get the least number of classes

[tex]k = 8[/tex]

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