Question

State whether the data described below are discrete:

a) The number of cars passing through a toll booth in a day
b) The weights of students in a class
c) The number of goals scored in a football match
d) The heights of students in a school

Answer 1

The data described below can be categorized as either discrete or continuous.

Step-by-step explanation:

Discrete data is data that can only take on certain values. Let's analyze each scenario:

a) The number of cars passing through a toll booth in a day: This data is discrete because you can count the number of cars passing through, and the values can only be whole numbers.

b) The weights of students in a class: This data is continuous because weights can be measured on a scale and can have fractional values.

c) The number of goals scored in a football match: This data is discrete because you can count the number of goals, and the values can only be whole numbers.

d) The heights of students in a school: This data is continuous because heights can be measured on a scale and can have fractional values.