Question

1. over the first five years of owning her car, gina drove about 12,200 miles the first year, 16,211 miles the second year, 12,050 the third year, 11,350 the fourth year, and 13,325 the fifth year. find the mean, median, and mode of this data.

mean = 13,327; median = 12,200; mode = 4,861
mean = 12,200; median = 12,200; no mode
mean = 12,200; median = 13,327; no mode
mean = 13,017; median = 12,200; no mode

Explanation:

Step1: Arrange data in ascending order

The data set is \(11240,12200,12200,13071,13275,16211\).

Step2: Calculate the mean

Mean \(=\frac{11240 + 12200+12200+13071+13275+16211}{6}=\frac{78197}{6}\approx13033\).

Step3: Find the median

Since \(n = 6\) (even), median \(=\frac{12200 + 13071}{2}=\frac{25271}{2}=12635.5\).

Step4: Determine the mode

The mode is the most - frequently occurring value. Here, \(12200\) occurs twice and other values occur once, so mode \(=12200\).

Answer:

mean \(=13033\), median \(=12635.5\), mode \(=12200\)