Question

The histogram below shows information about the daily energy output of a

solar panel for a number of days.
Calculate an estimate for the mean daily energy output.
If your answer is a decimal, give it to 1 d.p.
Frequency density
Energy output (kWh)
Answer>

Answer 1

4.5 kWh

Explanation:

You want an estimate of the mean of the solar panel output represented by the given histogram.

Mean

The mean of the output values can be estimated as the weighted average of the middle of each interval, weighted by the area of the histogram in that interval.

The computation looks like ...

`(.5*1+1.5*1+2.5*1+3.5*4+4.5*4+5.5*3+6.5* 2+7.5*2)/(1+1+1+4+4+3+2+2)\\\\\\=(81)/(18)=4.5`

The mean daily energy output of the solar panel is about 4.5 kWh.

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