Question

directions: select the correct answer from each drop - down menu.
the dot plots shown below represent the daily high temperatures during the month of may for two different cities.
compare the two dot plots, and answer the following questions.
for which city was the mean of the daily high temperatures greater?
for which city was the median of the daily high temperatures greater?
for which city was the range of the daily high temperatures greater?

Explanation:

Step1: Calculate the mean (approximate visual comparison)

The dot - plot of City 1 has more dots towards the higher temperature values (e.g., 80, 85) compared to City 2. So, the mean of City 1 is greater.

Step2: Calculate the median (middle value)

For a dot - plot, the median is the middle value. Counting the number of dots (assuming same number of days in May for both cities, say \(n = 31\) days). For City 1, the middle value (16th value) is at a higher temperature than the middle value (16th value) of City 2. So, the median of City 1 is greater.

Step3: Calculate the range (\(Range=\text{Max}-\text{Min}\))

For City 1: \(Max = 90\), \(Min=65\), \(Range_1=90 - 65=25\). For City 2: \(Max = 90\), \(Min = 68\), \(Range_2=90 - 68 = 22\). So, the range of City 1 is greater.

Answer:

For the mean: City 1; For the median: City 1; For the range: City 1