Jake recorded the average temperatures for his hometown over a period of 20 days as shown in the chart do use the data to determine the mean temperature and report. He stated the typical temperature in my hometown is about 61° houses statement, misleading answer choices. 50° 58° 45° 51° 54° 49° 46° 49° 48° 56° 56° 55° 51° 59° 56° 48° 94° 99° 95° 96° 1.there is not enough data to decide which is the typical temperature is 2. the mean of the data is not about 61° 3. the main is not miss leading the typical temperature is about 61. 4. the mean is not a good measure of the typical temperatures, because if you higher temperatures for the mean higher than most of the daily temperatures
3. The mean is not misleading, the typical temperature is about 61.
4. The mean is not a good measure of the typical temperatures because if you have higher temperatures for the mean, it will be higher than most of the daily temperatures.
To determine the mean temperature, we need to add up all the temperatures and divide by the number of days. Let's calculate the mean:
Sum of temperatures = 50 + 58 + 45 + 51 + 54 + 49 + 46 + 49 + 48 + 56 + 56 + 55 + 51 + 59 + 56 + 48 + 94 + 99 + 95 + 96
= 1151
Mean temperature = Sum of temperatures / Number of days
= 1151 / 20
= 57.55
Therefore, the mean temperature is approximately 57.55°.
Looking at the provided answer choices, none of them correctly state that the mean temperature is about 61°. The closest answer is option 2, which states that the mean of the data is not about 61°.
To determine the mean temperature for Jake's hometown, we need to add up all the recorded temperatures and then divide the sum by the number of days. Let's calculate it:
50 + 58 + 45 + 51 + 54 + 49 + 46 + 49 + 48 + 56 + 56 + 55 + 51 + 59 + 56 + 48 + 94 + 99 + 95 + 96 = 1080
The sum of the temperatures is 1080. Since there are 20 days, we can calculate the mean temperature:
Mean temperature = Sum of temperatures / Number of days
Mean temperature = 1080 / 20
Mean temperature = 54
Therefore, the mean temperature for Jake's hometown over the 20-day period is 54°.
Now let's analyze the answer choices:
1. There is not enough data to decide which is the typical temperature: This is incorrect since we have enough data to calculate the mean temperature.
2. The mean of the data is not about 61°: This is correct based on our calculation. The mean temperature is 54°, not 61°.
3. The mean is not misleading; the typical temperature is about 61°: This is incorrect since the mean temperature is 54°, not 61°.
4. The mean is not a good measure of the typical temperatures because if you have higher temperatures for the mean, it will be higher than most of the daily temperatures: This statement is not applicable in this case. The mean is simply the average, and it accurately represents the average temperature over the 20-day period.
Therefore, the correct answer is 2. The mean of the data is not about 61°.