For 10 consecutive days, Mr. Gann recorded the daily high temperatures in Dayton and Laredo to prepare for vacation. The table below shows the data.

Which city has a higher median daily high temperature? How much higher is this city's median than the other city's median daily high temperature?

(1 point)
Responses

Dayton has a higher median daily high temperature than Laredo by 0.5º F.
Dayton has a higher median daily high temperature than Laredo by 0.5º F.

Dayton has a higher median daily high temperature than Dayton by 0.3º F.
Dayton has a higher median daily high temperature than Dayton by 0.3º F.

Laredo has a higher median daily high temperature than Dayton by 0.5º F.
Laredo has a higher median daily high temperature than Dayton by 0.5º F.

Laredo has a higher median daily high temperature than Dayton by 1º F.
Laredo has a higher median daily high temperature than Dayton by 1º F.
Skip to navigation

1 answer

To determine which city has a higher median daily high temperature and the difference between the medians, we first need to calculate the median temperatures for both cities based on the provided data. However, since the specific temperatures are not included in your message, I cannot calculate the medians myself.

Here's how you can find the median temperature for each city:

  1. Organize the Data: List the daily high temperatures for each city in numerical order.

  2. Find the Median:

    • If you have an odd number of values (which you do, since these are 10 days), the median is the average of the two middle numbers. For 10 values, the median would be calculated using the 5th and 6th values in your sorted list.
    • So, if the sorted list is \( a_1, a_2, a_3, a_4, a_5, a_6, a_7, a_8, a_9, a_{10} \), the median is: \[ \text{Median} = \frac{a_5 + a_6}{2} \]
  3. Compare the Medians: Once you have obtained the medians for both cities, subtract the median of one city from the median of the other to see which is higher, and by how much.

If you provide the temperatures for each city, I can help you calculate the medians and answer your question accurately.