Correct Answer - Option 3 : 180
Given:
The average of digits = 269
Set of 7 digits 232, 149, 208, 301, a, 399, 414
Formula used:
Average = Sum of all observation/Number of observation
Calculation:
Number of digit = 7
⇒ Sum of digits = 232 + 149 + 208 + 301 + a + 399 + 414
⇒ Sum of digits = 1703 + a
According to formula,
⇒ 1703 + a = 269 × 7
⇒ 1703 + a = 1883
⇒ a = 180
∴ The value of a is 180.
