Question

50, 45, 48, 49, 60, 58, 57, 45, 47, 45, 43, 42, 47

A. Arrange the above data in order of their value.
B. Determine the arithmetic mean of the above data.
C. Determine the mode and median of the above data.

Answer 1

The ordered data is from 42 to 60. The arithmetic mean is 45.38. The mode is 45, and the median is 47.

Step-by-step explanation:

Organizing Data and Statistics

To answer the student's questions, we first arrange the given data set in ascending order, calculate the arithmetic mean (also known as the average), and then determine the mode and median.

Ordering the Data

A. The arranged data in order of value is as follows:

1. 42
2. 43
3. 45
4. 45
5. 45
6. 47
7. 47
8. 48
9. 49
10. 50
11. 57
12. 58
13. 60

Arithmetic Mean

B. To calculate the arithmetic mean, you add all the values together and divide by the number of values. In this case, the sum of the data is 590 and there are 13 values:

Mean = Sum of values / Number of values
Mean = 590 / 13
Mean = 45.38

Mode and Median

C. The mode is the value that occurs most frequently, which in this case is 45 (as it occurs three times).
The median is the middle value when the data is arranged in order, which is 47, as it is the seventh value in the ordered list of 13 numbers.