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Question 1:

The following table shows the ages of the patients admitted in a hospital during a year:

age (in years)

5 − 15

15 − 25

25 − 35

35 − 45

45 − 55

55 − 65

Number of patients

6

11

21

23

14

5

Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

Answer:

To find the class marks (xi), the following relation is used.

Taking 30 as assumed mean (a), di and fidiare calculated as follows.

...

Age (in years)

Number of patients

fi

Class mark

xi

di = xi − 30

fidi

5 − 15

6

10

− 20

− 120

15 − 25

11

20

− 10

− 110

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