Answer :
Yes, there is a difference in mean height between male and female middle school students. The mean height for male students is higher than for female students.
- Calculate the mean height for male students:
- Heights: 66, 69, 71, 74, 73, 61, 69, 71, 74
- Sum: 66 + 69 + 71 + 74 + 73 + 61 + 69 + 71 + 74 = 628
- Number of students: 9
- Mean: 628 / 9 ≈ 69.78
- Calculate the mean height for female students:
- Heights: 67, 64, 67, 70, 66, 69, 65, 70, 63, 70, 69
- Sum: 67 + 64 + 67 + 70 + 66 + 69 + 65 + 70 + 63 + 70 + 69 = 740
- Number of students: 11
- Mean: 740 / 11 ≈ 67.27
- Compare the means:
- Mean height of male students: ≈ 69.78
- Mean height of female students: ≈ 67.27
- Difference in means: 69.78 - 67.27 ≈ 2.51
Complete question:
Is there a difference in mean height between male and female middle school students?
Male: 66, 69, 71, 74, 73, 61, 69, 71, 74
Female: 67, 64, 67, 70, 66, 69, 65, 70, 63, 70, 69
