Question

The dot plot shows the number of books read by students in grades 7 and 8 as part of a summer reading program. Match each phrase to its correct value. 6 5 4 3 1.76 1.52 1.5 1.4 1 6 2 3 the average number of books read by students in grade 7 arrowRight the average number of books read by students in grade 8 arrowRight the mean absolute deviation for books read by students in grade 7 arrowRight the mean absolute deviation for books read by students in grade 8 arrowRight the difference of the average number of books as a multiple of the mean absolute deviation for grade 8 arrowRight

Answer 1

Answer: To match the phrases to their correct values in the given dot plot:

• The average number of books read by students in grade 7: 4
  
  
• The average number of books read by students in grade 8: 1.52
  
  
• The mean absolute deviation for books read by students in grade 7: 1.16
  
  
• The mean absolute deviation for books read by students in grade 8: 0.24
  
  
• The difference of the average number of books as a multiple of the mean absolute deviation for grade 8: (4 - 1.52) / 0.24 = 10.33

Note that the mean absolute deviation is a measure of the variability of the data, while the average represents the central tendency of the data. The difference of the averages as a multiple of the mean absolute deviation for grade 8 is a measure of the effect size, which indicates how large the difference between the two groups is relative to their variability.