Answer

Verified

420.9k+ views

**Hint:**In this question we have the values of mean and the median given. We have to find the mode. So for this there is a relation between these three and it is given by $Mode = {\text{3 median - 2 mean}}$ . And is also known to be an empirical formula. So on substituting the values and equating we will get the value for the mode.

**Formula used:**

The relation between the mean, median and mode is given by

$Mode = {\text{3 median - 2 mean}}$

**Complete step-by-step answer:**First of all we will see the values given to us. Here in this question we have the value for the mean and median. And it is given by $14$ and $15$ respectively.

Now by using the relation, we have the relation as $Mode = {\text{3 median - 2 mean}}$

So on substituting the known values in the next line, we will get

$ \Rightarrow Mode = 3 \times 15 - 2 \times 14$

Now, on solving the multiplication we will get the solution as

$ \Rightarrow Mode = 45 - 28$

And therefore on solving the above differences, we will get the value for mode, and it will be

$ \Rightarrow Mode = 17$

Therefore, the value of the mode will be equal to $17$

**Hence, the option $\left( b \right)$ is correct.**

**Note:**The difference between the mean, median and mode in one line for each of the following will be given by as the mean is said to be as the average of a set of data. And the mode will be the most common number in the set of data. Whereas the median will be the middle of the numbers in the set. So in this way we can understand the basic difference between these three terms.

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

Difference Between Plant Cell and Animal Cell

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

Which are the Top 10 Largest Countries of the World?

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

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

Give 10 examples for herbs , shrubs , climbers , creepers

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