Below is the distrubution for number of miles run in a week for a group of 20 runners. Find the mean number of miles run for this group. Use your calculator. Round your answer to the nearest tenth

class boundaries frequency
5 - < 10 - 1
10 - < 15 - 2
15 - < 20 - 3
20 - < 25 - 5
25 - < 30 - 4
30 - < 35 - 3
35 - < 40 - 2

Respuesta :

Answer:

  • 24 miles

Step-by-step explanation:

Added two columns for midpoint and product of frequency and midpoint

Class boundaries >> frequency >> midpoint >> midpoint x frequency

  • 5 - < 10 >> 1  >> 7.5 >> 7.5
  • 10 - < 15  >> 2  >> 12.5 >> 25
  • 15 - < 20 >> 3  >> 17.5 >> 52.5
  • 20 - < 25 >> 5  >> 22.5 >> 112.5
  • 25 - < 30 >> 4  >> 27.5 >> 110
  • 30 - < 35 >> 3  >> 32.5 >> 97.5
  • 35 - < 40 >> 2 >> 37.5 >> 75

Sum of last column

  • 7.5 + 25+52.5 + 112.5 + 110 + 97.5+ 75 = 480

Mean = sum of last column/ sum of frequencies

Mean

  • 480/20 = 24 miles