Questions: How hot does it get in Death Valley? Assume that the following data are taken from a study conducted by the National Park System, of which Death Valley is a unit. The ground temperatures were taken from May to November in the vicinity of Furnace Creek. Compute the mean for these ground temperatures. Round your answer to the nearest tenth. 148 153 168 175 183 178 179 183 178 178 168 169 153 141 143.6 156.3 143.2 145.3 132.6

Solution Steps

To find the mean of the given ground temperatures, sum all the temperature values and then divide by the total number of values. This will give the average temperature, which should be rounded to the nearest tenth.

To find the mean, we first calculate the sum of all the given ground temperatures. The temperatures are: \[ 148, 153, 168, 175, 183, 178, 179, 183, 178, 178, 168, 169, 153, 141 \]

The sum is: \[ 148 + 153 + 168 + 175 + 183 + 178 + 179 + 183 + 178 + 178 + 168 + 169 + 153 + 141 = 2354 \]

Next, we divide the sum of the temperatures by the number of temperature readings to find the mean. There are 14 temperature readings.

The mean is: \[ \frac{2354}{14} = 168.14285714285714 \]

Finally, we round the mean temperature to the nearest tenth.

The rounded mean is: \[ 168.1 \]

Final Answer