Question

A salesperson records the number of miles she travels each week. The table below shows the number of miles the salesperson traveled each week for 5 weeks. The salesperson plans to travel 402 miles in week 6. Which measure, median or mean, will change more when the number of miles for week 6 is included in the data? Show or explain how you got your answer.

Week: 1 3 4 5

Number of Miles Traveled: 216 210 250 225 209​

Answer 1

The mean

Explanation:

Given :

Miles traveled : 216 210 250 225 209

Ordered data : 209, 210, 216, 225, 250

Mean = Σx / n

Sample size, n = 5

Mean = (216 + 210 + 250 + 225 + 209) / 5

Mean = 222 (mean for the 5 weeka.

The median :

1/2(n+1) th term = 6/2 = 3rd term

.Median = 216

Adding week 6 data:

209, 210, 216, 225, 250, 406

Mean = ( 705/ 6) = 192

Median :

1/2(n+1) th term = 7/2 = 3.5 th term

.Median = (216 +. 225) /2 = 220.5

The mean changes more :

220 - 192 = 28

Median :

220.5 - 216 = 4.5: