07-27-2018, 10:41 AM

Q#1: In a hospital there are 43 Sugar patients. The patients are grouped with respect to their ages.

Class Boundaries Frequency

5-10 5

10-15 10

15-20 12

20-25 7

25-30 6

30-35 3

Find the Average (Mean) age of the Sugar patients.

Solution:

Class Boundaries Midpoint Frequency Midpoint x Frequency

5-10 7.5 5 37.5

10-15 12.5 10 125

15-20 17.5 12 210

20-25 22.5 7 157.5

25-30 27.5 6 165

30-35 32.5 3 97.5

Now the sum of the product of midpoint and class boundaries is 792.5, divide this by sum of frequencies 43, we get 18.43.

Hence the average mean of sugar patients is 18.43 years.

Q# 2: Find the Median and Mode of the given data:

8,8,8,7,7,5,5,6,10,10,5,5,5,5,11,12,14,16,18,25,26,27,27,29,29,29,30,31,32,43,45,54,58,61

Solution:

Median is the middle value, so first we will rewrite the data in order;

5,5,5,5,5,5,6,7,7,8,8,8,10,10,11,12,14,16,18,25,26,27,27,29,29,29,30,31,32,43,45,54,58,61

As there are 34 numbers in the data, we will find the mean of the two middlemost values which are 14 and 16.

Hence median = 15

Mode is the value which is most repeated in the data set, hence the mode in this data set is 5.

Class Boundaries Frequency

5-10 5

10-15 10

15-20 12

20-25 7

25-30 6

30-35 3

Find the Average (Mean) age of the Sugar patients.

Solution:

Class Boundaries Midpoint Frequency Midpoint x Frequency

5-10 7.5 5 37.5

10-15 12.5 10 125

15-20 17.5 12 210

20-25 22.5 7 157.5

25-30 27.5 6 165

30-35 32.5 3 97.5

Now the sum of the product of midpoint and class boundaries is 792.5, divide this by sum of frequencies 43, we get 18.43.

Hence the average mean of sugar patients is 18.43 years.

Q# 2: Find the Median and Mode of the given data:

8,8,8,7,7,5,5,6,10,10,5,5,5,5,11,12,14,16,18,25,26,27,27,29,29,29,30,31,32,43,45,54,58,61

Solution:

Median is the middle value, so first we will rewrite the data in order;

5,5,5,5,5,5,6,7,7,8,8,8,10,10,11,12,14,16,18,25,26,27,27,29,29,29,30,31,32,43,45,54,58,61

As there are 34 numbers in the data, we will find the mean of the two middlemost values which are 14 and 16.

Hence median = 15

Mode is the value which is most repeated in the data set, hence the mode in this data set is 5.