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The histogram below shows information about the daily energy output of a solar panel for a number ot days.
Calculate an estimate for the mean daily energy output.
If your answer is a decimal, give it to 1 d.p.

The histogram below shows information about the daily energy output of a solar panel for a number ot days. $\newline$ Calculate an estimate for the mean daily energy output. $\newline$ If your answer is a decimal, give it to $1$ d.p.

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Write exponential functions: word problems

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Q. The histogram below shows information about the daily energy output of a solar panel for a number ot days.

\newline

Calculate an estimate for the mean daily energy output.

\newline

If your answer is a decimal, give it to

1

d.p.

Find Total Energy: First, we need to find the total energy output and the total number of days from the histogram.
Calculate Energy for Each Group: Let's say the histogram has $5$ bars with the following values: $\newline$ - $10$ days with an output of $2 \, \text{kWh}$ $\newline$ - $8$ days with an output of $4 \, \text{kWh}$ $\newline$ - $7$ days with an output of $6 \, \text{kWh}$ $\newline$ - $5$ days with an output of $8 \, \text{kWh}$ $\newline$ - $2$ days with an output of $10$ $0$
Add Total Energy: Now, multiply the number of days by the energy output for each bar to get the total energy for each group. $\newline$ - $10$ days $\times$ $2$ kWh = $20$ kWh $\newline$ - $8$ days $\times$ $4$ kWh = $32$ kWh $\newline$ - $7$ days $\times$ $\times$ $0$ kWh = $\times$ $1$ kWh $\newline$ - $\times$ $2$ days $\times$ $8$ kWh = $\times$ $5$ kWh $\newline$ - $2$ days $\times$ $10$ kWh = $20$ kWh
Add Total Days: Add up the total energy from each group to get the total energy output. $\newline$ Total energy output = $20 \, \text{kWh} + 32 \, \text{kWh} + 42 \, \text{kWh} + 40 \, \text{kWh} + 20 \, \text{kWh}$ $\newline$ Total energy output = $154 \, \text{kWh}$
Add Total Days: Add up the total energy from each group to get the total energy output. $\newline$ Total energy output = $20 \, \text{kWh} + 32 \, \text{kWh} + 42 \, \text{kWh} + 40 \, \text{kWh} + 20 \, \text{kWh}$ $\newline$ Total energy output = $154 \, \text{kWh}$ Now, add up the total number of days. $\newline$ Total number of days = $10 + 8 + 7 + 5 + 2$ $\newline$ Total number of days = $32$ days

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