Fifteen students r randomly selected form 2 different classes. They were asked how many books they read during da summer. Their respneses r as follows. Find da median number of books read by each class. which class has a higher median number of books read?

Class 1: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 6, 4, 5, 6,
Class 2: 2, 2, 4, 3, 0, 0, 6, 6, 10, 9, 6, 5, 3, 1, 2

Da median number of books read during da summer by

Class 1 is ___

Da median number of books read during da summer by

Class 2 is ___

Class ___ has a higher median number of books read during da summer

1 answer

To find the median number of books read by each class, we need to first sort the responses and then find the median.

Class 1 Responses (unsorted):
0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 6, 4, 5, 6

Sorted Class 1 Responses:
0, 1, 1, 3, 4, 4, 5, 5, 6, 6, 6, 7, 8, 10

There are 15 responses in Class 1. The median is the middle value, which means we need to find the value at position (15 + 1) / 2 = 8.

Class 1 Median:

  • 1st value: 0
  • 2nd value: 1
  • 3rd value: 1
  • 4th value: 3
  • 5th value: 4
  • 6th value: 4
  • 7th value: 5
  • 8th value: 5 (median)
  • 9th value: 6
  • 10th value: 6
  • 11th value: 6
  • 12th value: 7
  • 13th value: 8
  • 14th value: 10

So, the median for Class 1 is 5.


Class 2 Responses (unsorted):
2, 2, 4, 3, 0, 0, 6, 6, 10, 9, 6, 5, 3, 1, 2

Sorted Class 2 Responses:
0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 6, 9, 10

There are also 15 responses in Class 2. The median is again at position (15 + 1) / 2 = 8.

Class 2 Median:

  • 1st value: 0
  • 2nd value: 0
  • 3rd value: 1
  • 4th value: 2
  • 5th value: 2
  • 6th value: 2
  • 7th value: 3
  • 8th value: 3 (median)
  • 9th value: 4
  • 10th value: 5
  • 11th value: 6
  • 12th value: 6
  • 13th value: 6
  • 14th value: 9
  • 15th value: 10

So, the median for Class 2 is 3.


Summary:

  • The median number of books read during the summer by Class 1 is 5.
  • The median number of books read during the summer by Class 2 is 3.

Class 1 has a higher median number of books read during the summer.