State which of the following variables are continuous and which are discrete :

(i) Marks obtained by the students of a class in a test.

(ii) Daily maximum temperature of a city.

(iii) I.Q. of a students of a class.

(iv) Weights of players of a Volley-ball team.

(v) Number of car-accidents in a city.

(vi) Distance travelled by a train.

(vii) Time taken by runners in a race.

(viii) Sizes of shoes sold in a shoe-store.

(ix) Number of patients in a hospital per day.

(i) Marks obtained by the students in a test will always be in whole number or natural number (e.g : 17, 20, … ) hence, it is discrete variable.

(ii) Temperature can be in any value (e.g : 27⁰ C, 21.5⁰ C). So, it is continuous variable.

(iii) I.Q. of a person can be any number. Hence it is a continuous variable.

(iv) Weight can be measured in any value (e.g : 47.5 kg, 98 kg). Hence it is a continuous variable.

(v) Accidents will always be in whole number (e.g : 2, 5, 15). We cannot say total accidents are 2.5, 7.8. Hence, it is a discrete variable.

(vi) Distance can be of any value (like 78 km, 117.95 km). Hence, it is a continuous variable.

(vii) Time can be measured in any value (like 18.7 sec, 34.7 min). Hence, it is a continuous variable.

(viii) Shoes size always be in whole number or natural number(like 7, 9, 10). We cannot have the shoes size of 8.6, 9.3. Hence, it is a discrete variable.

(ix) Hospitals will count the number of patietns as whole number or natural number(like 12 patients, 19 patients). We cannot say there are 15.6 patients in the hospital. Hence, it is a discrete variable.