Question

The following frequency distribution shows the classification of the number of vehicles and the
volume of petrol filled in them. Find the mode of the volume.
Petrol filled (Litre) I
1-3
4-6
7-9
10-12
13 - 15
No. of Vehicles 33
40
27
18
12​

Answer 1

Answer:

Mode of volume of petrol =4.55 litres

Step-by-step explanation:

The following frequency distribution table shows the classification of the number of vehicles and the volume of petrol filled in them. Find the mode of the volume

petrol filled--true class limit----freq

1-3________0.5-3.5_________33->fo

4-6_______ 3.5-6.5_________40->f1

7-9_______ 6.5-9.5_________27->f2

10-12_____9.5-12.5__________18

13-15______12.5-15.5_________12

We know that modal class is that class which have higher frequency,so

Modal class= 3.5-6.5

$\boxed{\bold{Mode = l + \bigg(\frac{f_1 - f_0}{2f_1 - f_0 - f_2} \bigg)h}}$

here

$l= 3.5 \\ f_1 = 40 \\ f_0 =33 \\ f_2 =27 \\ h = 3$

place all values in the formula

$Mode = 3.5+ \bigg(\frac{40 - 33}{2 \times 40 - 33 - 27} \bigg)3 \\ \\ = 3.5 + \bigg(\frac{7}{ 80 - 33 - 27} \bigg)3 \\ \\ = 3.5 + \frac{7}{20} \times 3 \\ \\ = 3.5 + \frac{21}{20} \\ \\ = 3.5 + 1.05 \\ \\ Mode= 4.55 \:litres$

Hope it helps you.

Answer 2

Answer:

mode=4.55 liters.........