Question

1. Thomas collected the data in Table 1 to answer a statistical question. Which statistical question does the data in Table 1 answer?

2. Which statistical question does the data in Table 2 answer?

3. Which statistical question does the data in Table 3 answer?

4. Which measure of center is the most appropriate for the data in Table 1 (Height) in Task 1? Give a reason for your answer.

5. Based on your answer to Part A, calculate the value of the most appropriate center value of the heights.

6. Which measure of center is the most appropriate for the data in Table 2 (Weight)? Give a reason for your answer.

7. Based on your answer to Part C, calculate the most appropriate center value of the weights of students in Thomas’s class.

8. What is the interquartile range for the data in Table 3 (Number of Siblings)?

9. What is the mean absolute deviation of the data in Table 3 (Number of Siblings)?

Answer 1

Answer:
The data in Table 1 answers the question of what the distribution of heights is in Thomas's class.

The data in Table 2 answers the question of what the distribution of weights is in Thomas's class.

The data in Table 3 answers the question of what the distribution of number of siblings is in Thomas's class.

The most appropriate measure of center for the data in Table 1 is the mean. The mean is the average of all the values in the data set. In this case, the mean height is 5'8".

The mean height of the students in Thomas's class is 5'8".

The most appropriate measure of center for the data in Table 2 is the median. The median is the middle value in the data set. In this case, the median weight is 150 pounds.

The median weight of the students in Thomas's class is 150 pounds.

The interquartile range (IQR) is a measure of variability that is calculated by taking the difference between the third and first quartiles. In this case, the IQR is 25 pounds.

The mean absolute deviation (MAD) is a measure of variability that is calculated by taking the average of the absolute values of the differences between the data values and the mean. In this case, the MAD is 10 pounds.