For 10 consecutive days, Anthony recorded the daily high temperatures in Dayton and Laredo. The table shows the data. %0D%0A%0D%0A %09Daily High Temperatures (in °F)%0D%0ADayton%0977 82 85 87 90 85 79 86 91 88%0D%0ALaredo%0981 79 80 86 88 92 82 88 84 87%0D%0AWhich 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? Here is a hint, Laredo does not have a higher median daily high temperature than Dayton.
To find the median daily high temperature for each city, we first need to arrange the temperatures in ascending order:
Dayton: 77 79 82 85 85 86 87 88 90 91
Laredo: 79 80 81 82 84 86 87 88 88 92
Since there are 10 temperatures for each city, the median is the average of the two middle temperatures.
For Dayton, the median is (86 + 87) / 2 = 86.5
For Laredo, the median is (84 + 86) / 2 = 85
Therefore, Dayton has a higher median daily high temperature than Laredo by 1.5 degrees.
wrong
Apologies for the mistake. Let's try calculating the medians again:
Dayton temperatures: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91
Laredo temperatures: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92
For Dayton, the median is the middle temperature, which is the 5th temperature in the ordered list (85).
For Laredo, the median is also the middle temperature, which is the 5th temperature in the ordered list (84).
Therefore, the median daily high temperature for both cities is the same at 85 degrees Fahrenheit.
are you slow?
I apologize for the previous errors. Let's find the median temperatures for Dayton and Laredo correctly this time:
Dayton temperatures: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91
Laredo temperatures: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92
For Dayton, the median is the average of the two middle temperatures (86 and 87): (86 + 87) / 2 = 86.5
For Laredo, the median is the average of the two middle temperatures (84 and 86): (84 + 86) / 2 = 85
Therefore, Dayton has a higher median daily high temperature than Laredo by 1.5 degrees.