Question

A group of students measured the average monthly temperature of 1000 cities around the world and plotted the cumulative frequency graph shown below. A cumulative frequency graph. The label for the x-axis reads 'Average monthly temperature (in degrees Celsius).' The label for the y-axis reads 'Cumulative Frequency (number of cities).' The coordinates that make up the shape of the line are as follows: (0,0), (10,50), (20,50), (30,400), (40,700), (50,950), (60,1000), (70,1000). Based on the graph, it can be concluded that (2 points) a about 300 cities have an average monthly temperature of 50°C b about 300 cities have an average monthly temperature of 20°C c almost 700 cities have an average monthly temperature less than or equal to 40°C d almost 1000 cities have an average monthly temperature less than or equal to 40°C

Answer 1

Answer:

The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.

Explanation:

For comparing the mean absolute deviations of both data sets we have to calculate the mean absolute deviation for both data sets first,

So for city 1:

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored as the deviation is the distance of value from the mean and it cannot be negative. For this purpose absolute is used)

The deviations will be added then.

So the mean absolute deviation for city 1 is 24 ..

For city 2:

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored)

The deviations will be added then.

So the MAD for city 2 is 11.33 ..

So,

The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.