Question
The data shows the number of seconds it took two randomly selected groups to thread a needle. Compare the measures of center and variability of these data sets.
Student Group A: 56, 14, 26, 28, 29, 45, 32, 80, 3, 10
Student Group B: 27, 24, 18, 19, 5, 16, 22, 10, 6, 20
Which of the following statements about these data sets is false?
(1 point)
Responses
The ranges of the time taken by Group A and Group B are the same.
The ranges of the time taken by Group A and Group B are the same.
The mean time taken by Group A is higher than that of Group B.
The mean time taken by Group A is higher than that of Group B.
The amount of variability of the time taken by Group A to thread a needle is higher than the amount of variability of the time taken by Group B.
The amount of variability of the time taken by Group A to thread a needle is higher than the amount of variability of the time taken by Group B.
The median time taken by members of Group A to thread a needle is higher than that of members of Group B.
5 answers
Fertilizer A: 27,20,16,18,22,19,23,21,17,19
Fertilizer B: 28,19,18,21,24,20,25,27,29,21
Measures of center:
- Fertilizer A: mean = 20.2, median = 19.5
- Fertilizer B: mean = 22.2, median = 21.5
Measures of variability:
- Fertilizer A: range = 11, interquartile range = 4, standard deviation = 3.34
- Fertilizer B: range = 11, interquartile range = 4.5, standard deviation = 3.56
Based on these measures, we can see that Fertilizer B has a slightly higher mean and median weight for potatoes, indicating that it may be more effective. However, the measures of variability for both fertilizers are fairly similar, with Fertilizer A having a slightly smaller interquartile range and standard deviation.
Overall, it's difficult to definitively say which fertilizer is generally more effective based on these measures alone. Additional analysis, such as hypothesis testing or confidence intervals, may be needed to make a more conclusive determination.