10. For what value of x the mode of the following data is 35 ? 35, 36, 37, 33, 37, 36, 34, 37, 36, 35, 35, x + 30
Answers
Step-by-step explanation:
Kinematics is the branch of classical mechanics that describes the motion of points, objects and systems of groups of objects, without reference to the causes of motion (i.e., forces ). The study of kinematics is often referred to as the “geometry of motion.”
Step-by-step explanation:
As we know,
M = l = [(f1 – f0)/(2f1 – f0 – f2)] × h
Where
l is the lower limit of the modal class.
h is the size of the class interval.
f1 is the frequency of the modal class.
f0 is the frequency of class preceding the modal class.
f2 is the frequency of the class succeeding the modal class.
From the given data, In the class interval 30-40 has highest frequency.
∴ Modal class is 30-40
l = 30, h = 10, f1 = 16, f0 = 10, f2 = x, M = 36
Using Mode formula
M = l = [(f1 – f0)/(2f1 – f0 – f2)] × h
⇒ 36 = 30 = [(16 – 10)/(2 × 16 – 10 – x)] × 10
⇒ 36 – 30 = 60/(22 – x)
⇒ 6 (22 – x) = 60
⇒ 22 – x = 10
⇒ x = 22 – 10
⇒ x = 12