3/5
30.1
Given, lives (in hours) of 5 bulbs were noted as follows: 1357, 1090, 1666, 1494, 1623 Now, mean = (1357 + 1090 + 1666 + 1494 + 1623)/5 = 7230/5 = 1446
Given, Mode = Mean + 12 ⇒ Mode – 12 = Mean Now, Mode = 3×Median – 2×Mean ⇒ Mode = 3×Median – 2(Mode – 12) ⇒ Mode = 3×Median – 2×Mode + 24 ⇒ Mode + 2×Mode = 3×Median + 24 ⇒ 3×Mode = 3×Median = 24 ⇒ Mode = Median + 8 So, mode exceeds the median by 8
Since each value is increased by 2, therefore the median value is also increased by 2. So, new median = 22 Again, the variance is independent of the change of origin. So it remains the same.