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.

Answer 1

To find the mean, median, and mode of the miles driven by Gina over the five years, we can follow these steps:

1. Mean: To calculate the mean, we sum all the miles driven and divide by the number of years.

   • Miles driven:

     • Year 1: 12,200
     • Year 2: 16,211
     • Year 3: 12,050
     • Year 4: 11,350
     • Year 5: 13,325

   • Total miles = 12,200 + 16,211 + 12,050 + 11,350 + 13,325

   • Total miles = 65,136

   • Mean = Total miles / Number of years

   • Mean = 65,136 / 5 = 13,027.2

2. Median: To find the median, we need to order the miles in ascending order and find the middle value.

   Ordered miles:

   • 11,350
   • 12,050
   • 12,200
   • 13,325
   • 16,211

   Since there are 5 values, the median will be the third value:

   • Median = 12,200

3. Mode: The mode is the value that appears most frequently.

   In this case, all the values are unique, so there is no mode:

   • Mode = None

Summary:

• Mean: 13,027.2 miles
• Median: 12,200 miles
• Mode: None (no repeating values)