Question

You're told that the shape of the distribution of burning times for light bulbs is balanced, with a mean burning time of about 1500 hours. Therefore you can conclude that the median burning time

a) equals about 1500 hours.
b) is more than 1500 hours.
c) is fewer than 1500 hours.
d) could be any of the above.

Answer 1

The correct answer is option a),The median burning time for light bulbs in a balanced, symmetric distribution with a mean of 1500 hours is also 1500 hours.

Step-by-step explanation:

which states that the median burning time equals about 1500 hours. When we are told that the distribution of burning times for light bulbs is balanced and has a mean burning time of about 1500 hours, we can infer that the distribution is symmetric. In a symmetric distribution, the mean and median are equal because the data is evenly distributed around the central value. Since the mean burning time is given as 1500 hours, we would then expect the median, which is the middle value when all burning times are sorted in ascending order, to also be 1500 hours.

The correct answer is option a) equals about 1500 hours. When a distribution is balanced, it means that it is symmetric and the mean and median are equal. In this case, the mean burning time is about 1500 hours, so we can conclude that the median burning time is also about 1500 hours.