Answer

Verified

376.4k+ views

**Hint:**In this question we just have to recall the formula of Sturges rule and then we will put the value of number of classes , the value of total frequency in the Sturges rule. The Sturges rule is used to determine the number of classes when the total number of observations is given.

**Formula used:**Sturges rule to find the number of classes is given by $K = 1 + 3.322\log \,N$ where $K$ is the number of classes and $N$ is the total frequency.

**Complete step-by-step solution:**

The number of classes given in the question is $n$ and total frequency is $N$

We know that Sturges rule is used to find the number of classes which is used in a histogram or frequency distribution.

From Sturges rule we can write.

$K = 1 + 3.322\log \,N$

Put the values of number of classes and total frequency in the above equation. Therefore, we will get

$n = 1 + 3.322\log \,N$

We can write the above equation as $n = 1 + 3.3\log \,N$ .

**Hence, the correct option is (C).**

**Additional information:**we will see in this example how to apply Sturges rule. Example: If the total number of observations are $1000$ then we can find the number of classes by the Sturges rule $K = 1 + 3.322\log \,N$

$

\Rightarrow K = 1 + 3.322\log 1000 \\

\Rightarrow K = 1 + 3.322\left( 3 \right) = 10.966

$

**Note:**The important thing in this question is the rule given by Sturges which we have to remember. The Sturges rule is the function of $\log $ so while solving the question related to Sturges rule just make sure that we are comfortable with the properties of $\log $.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE