The temperatures (in °F ) in a city on randomly selected days during the summer are 89, 85, 90, 87, 86, 91, 88, and 89. What is the mean temperature? Round your answer to one decimal place.(1 point)

Answer 1

To calculate the mean temperature, you need to find the sum of all the temperature values and then divide by the number of values.

The temperatures are: 89, 85, 90, 87, 86, 91, 88, and 89.

1. First, we sum the temperatures: \[ 89 + 85 + 90 + 87 + 86 + 91 + 88 + 89 = 89 + 85 = 174 \] \[ 174 + 90 = 264 \] \[ 264 + 87 = 351 \] \[ 351 + 86 = 437 \] \[ 437 + 91 = 528 \] \[ 528 + 88 = 616 \] \[ 616 + 89 = 705 \]

   So, the total sum of the temperatures is \( 705 \).

2. Next, we find the number of temperature values: There are 8 values.

3. Now, we calculate the mean: \[ \text{Mean} = \frac{\text{Total sum}}{\text{Number of values}} = \frac{705}{8} = 88.125 \]

4. Finally, we round the result to one decimal place: \[ \text{Mean} \approx 88.1 \]

Thus, the mean temperature is 88.1°F.