Find the mean, median, and mode for the table. The table shows the distribution of households, according to the number of motor vehicles per household.
A) mean is 1.84; median is 2; mode is 2
B) mean is 1.79; median is 0; mode is 4
C) mean is 1.80; median is 1; mode is 1
D) mean is 1.81; median is 2; mode is 2
E) mean is 1.81; median is 3; mode is 2

Question

Find the mean, median, and mode for the table. The table shows the distribution of households, according to the number of motor vehicles per household. 
A) mean is 1.84; median is 2; mode is 2 
B) mean is 1.79; median is 0; mode is 4 
C) mean is 1.80; median is 1; mode is 1 
D) mean is 1.81; median is 2; mode is 2 
E) mean is 1.81; median is 3; mode is 2

Quizplus · Accepted Answer

To find the mean, multiply each value by its frequency, add up the products, and then divide by the total number of households. (0*10 + 1*20 + 2*40 + 3*20 + 4*10)/100 = 1.8. To find the median, arrange the values in order and find the middle value. Since there are 100 households, the 50th and 51st households will be in the middle. Counting from the bottom, the 50th and 51st households will have 2 motor vehicles. Therefore, the median is 2. To find the mode, look for the value that occurs most frequently. Since 40 households have 2 motor vehicles, it is the mode. Therefore, the correct answer is D.

Find the Mean, Median, and Mode for the Table