Distances of stars of the 25 brightest stars, the distances from earth (in light-years) for some of those with distances less than too light-years are found below, find the mean, median, mode, and midrange for the data, \[ \begin{array}{lllllllll} 4.4 & 42.2 & 25.3 & 8.6 & 36.7 & 25.1 & 16.8 & 33.7 & 11.4 \end{array} \] Send data to Ereel Parti \( 0 / 4 \) Part 1 of 4 Find the mean. Raundina rule for the meant round to one more decimal place than the data as needed. Mean! \( \square \)

To calculate the **mean** distance of the given stars, follow these steps: ### Given Data: \[ 4.4,\ 42.2,\ 25.3,\ 8.6,\ 36.7,\ 25.1,\ 16.8,\ 33.7,\ 11.4 \] ### Step 1: Calculate the Sum of All Distances \[ 4.4 + 42.2 + 25.3 + 8.6 + 36.7 + 25.1 + 16.8 + 33.7 + 11.4 = 204.2 \text{ light-years} \] ### Step 2: Determine the Number of Data Points \[ \text{Number of stars} = 9 \] ### Step 3: Compute the Mean \[ \text{Mean} = \frac{\text{Total Sum}}{\text{Number of Data Points}} = \frac{204.2}{9} \approx 22.688888... \] ### Step 4: Apply the Rounding Rule According to the **Rounding Rule** (round to one more decimal place than the data): - The original data has **one decimal place**. - Therefore, round the mean to **two decimal places**. \[ \text{Mean} \approx 22.69 \text{ light-years} \] ### **Final Answer:** \[ \boxed{22.69} \]