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Question: The data represents the percentage of children suffering from vascular diseases in 8 selected areas of 2 different countries. Find the mean, median, mode and midrange for country 1 and country 2.



A ) Country 1: 8.263%, 7.92%, 2.9%, 8.225% ; Country 2: 6.116%, 3.88%, 2.9%, 6.555%
B ) Country 1: 6.116%, 7.92%, no mode, 8.225% ; Country 2: 8.263%, 3.88%, 2.9%, 6.555%
C ) Country 1: 8.263%, 7.92%, no mode, 8.225% ; Country 2: 6.116%, 3.88%, 2.9%, 6.555%
D ) Country 1: 8.263%, 7.92%, no mode, 8.225% ; Country 2: 6.116%, 3.88%, no mode, 6.555%

Steps to derive

1 Mean percentage of children suffering from vascular diseases in country 1 is X = ∑Xn

2 = 5+6.83+2.9+14.56+9.01+1.89+12.91+138

3 = 66.18 = 8.263%

4 So, the mean percentage of children suffering from vascular diseases in country 1 = 8.263%.

5 Arrange the data values of country 1 in order: 1.89%, 2.9%, 5%, 6.83%, 9.01%, 12.91%, 13%, 14.56%.

6 The median percentage is MD = 6.83+9.012 = 7.92%.

7 There is no mode since each value occurs only once.

8 Midrange, MR = 1.89+14.562 = 8.225%.
 [Use Mid range = lowest value+highest value2]

9 Mean percentage of children suffering from vascular diseases in country 2 is X = ∑Xn

10 = 2.9+1.02+12.91+13.02+4.86+2.9+0.09+11.238

11 = 48.938 = 6.116%

12 So, the mean percentage of children suffering from vascular diseases in country 2 = 6.116%.

13 Arrange the data values of country 2 in order: 0.09%, 1.02%, 2.9%, 2.9%, 4.86%, 11.23%, 12.91%, 13.02%.

14 The median percentage is MD = 2.9+4.862 = 3.88%.

15 The mode is 2.9 since 2.9 occurs 2 times.

16 Midrange, MR = 0.09+13.022 = 6.555%.
 [Use Mid range = lowest value+highest value2]



Hence the right answer is Option C

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