Question : The given table represents the population of different villages.
| Name of Village | Number of males | Number of females |
| A | 1500 | 1220 |
| B | 1460 | 1320 |
| C | 1105 | 1180 |
| D | 1305 | 1170 |
J denotes the average number of males in villages A, B, and C.
K denotes the average number of females in villages B, C, and D.
What is the average of J and K?
Option 1: 1289.17
Option 2: 1279.62
Option 3: 1278.36
Option 4: 1288.62
Correct Answer: 1289.17
Solution :
First, we calculate J, the average number of males in villages A, B, and C.
J $= \frac{1500 + 1460 + 1105}{3} = 1355$
Next, we calculate K, the average number of females in villages B, C, and D.
K $= \frac{1320 + 1180 + 1170}{3} = 1223.33$
Finally, the average of J and K is given by:
$= \frac{1355 + 1223.33}{2} = 1289.17$
Hence, the correct answer is 1289.17.
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