The age (in years )of 150 patients getting medical treatment in a hospital in a month are given below. Obtain its mode.

Question

Philoid · Accepted Answer

This is a grouped frequency distribution. To find mode of this type of data, we can interpret the column ‘No. of patients’ as frequency.

Note that, highest frequency = 50.

Corresponding class interval = 40 – 50

⇒ Modal class = 40 – 50

Mode is given by,

Where, l = lower limit of the modal class = 40

f = frequency of the modal class = 50

f₁ = frequency of the class preceding the modal class = 36

f₂ = frequency of the class succeeding the modal class = 20

c = width of the class interval = 10

Putting all these values in the modal formula,

⇒

⇒ Mode = 43.18

Thus, the mode is 43.18.