Question

A hardware store sells lightbulbs in the following wattages: 25, 40, 60, 75, 100. At midday, the store sells out of 60-watt bulbs. By how many watts does the median decrease? Answer to the nearest tenth.(1 point)

watts

Answer 1

[AI-generated answer — Bot GPT 3.5]

The median is the middle value when the data is arranged in numerical order. In this case, the data set of wattages is: 25, 40, 60, 75, 100.

When the 60-watt bulb is sold out, the new data set becomes: 25, 40, 75, 100.

The median of this new data set is the average of the two middle values, which are 40 and 75.

Therefore, the median decreases by 35 watts (75 - 40 = 35) when the 60-watt bulb is sold out.

Thus, the median decreases by 35 watts.

Answer 2

no

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake. Let's recalculate the median after removing the 60-watt bulb:

Data set: 25, 40, 75, 100

The median is the middle value when the data is arranged in numerical order. In this case, the middle value is the average of the two middle numbers, which are 40 and 75.

Median = (40 + 75) / 2
Median = 115 / 2
Median = 57.5 watts

Therefore, when the 60-watt bulb is sold out, the median decreases by 2.5 watts (60 - 57.5 = 2.5)

So, the median decreases by 2.5 watts.