The mode of the given data- Wagesin Rs- No- of workers- 0-5 3- 5-10 7- 10-15 15- 15-20 30- 20-25 20- 25-30 10- 30-35 5- -is

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Mode

The mode of t...

Question

The mode of the given data
$\begin{matrix} Wages(in Rs.) & No. of workers 0 - 5 & 3 5 - 10 & 7 10 - 15 & 15 15 - 20 & 30 20 - 25 & 20 25 - 30 & 10 30 - 35 & 5 \end{matrix}$
is

12

No worries! We‘ve got your back. Try BYJU‘S free classes today!

15

No worries! We‘ve got your back. Try BYJU‘S free classes today!

18

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

20

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $18$
Using the formula
Mode, $M_{o} = L + \frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}} \times h$
Lower limit of modal class $= L = 15$
Frequency of modal class $= f_{1} = 30$
Frequency of class preceding modal class $= f_{0} = 15$
Frequency of class succeeding modal class $= f_{2} = 20$
Size of class interval $= h = 5$
Substituting the values, we get
$M_{o} = 15 + \frac{30 - 15}{2 \times 30 - 15 - 20} \times 5$
$= 15 + 3$
$= 18$
Thus mode is $18$ .

Suggest Corrections

Similar questions

What is the median class for the data?

$\begin{matrix} C l a s s i n t e r v a l & f r e q u e n c y 0 - 10 & 7 10 - 20 & 13 20 - 30 & 14 30 - 40 & 5 40 - 50 & 11 \end{matrix}$ [2 MARKS]

Q. For the given data,

\begin{matrix} Weight (in kg) & 20 & 24 & 25 & 30 & 32 & 35 Number of students & 2 & 1 & 3 & 1 & 2 & 1 \end{matrix}

the correct option(s) is/are

Q. Mode of the distribution

\begin{matrix} Marks & 4 & 5 & 6 & 7 & 8 No. of students & 3 & 5 & 10 & 6 & 1 \end{matrix}

Q. Find the mode of the following data.

Marks	35	36	37	38	39	40
No of students	09	07	09	04	04	02

Find the mode of the following data:

Class	0−20	20−40	40−60	60−80
Frequency	15	6	18	10

Join BYJU'S Learning Program

The mode of the given data Wages(in Rs.)No. of workers0−535−10710−151515−203020−252025−301030−355 is

The mode of the given data
$\begin{matrix} Wages(in Rs.) & No. of workers 0 - 5 & 3 5 - 10 & 7 10 - 15 & 15 15 - 20 & 30 20 - 25 & 20 25 - 30 & 10 30 - 35 & 5 \end{matrix}$
is