Question

value: 8
match the description with the respective statistical quantity.
a. middle value in the list of numbers placed in an order.
b. difference between the largest and smallest values in a list of numbers.
c. average of the data figures.
d. the value that occurs most often.

1. mean.
2. median.
3. mode.
4. range.

Explanation:

• Mean: It is calculated by summing all data values and dividing by the number of data points, which matches the description of "Average of the data figures".
• Median: When data is ordered (ascending or descending), the median is the middle - value. For example, in a set \(1,2,3\), the median is \(2\), which matches "Middle value in the list of numbers placed in an order".
• Mode: It is the value that appears most frequently in a data set. For instance, in the set \(1,2,2,3\), the mode is \(2\), corresponding to "The value that occurs most often".
• Range: It is found by subtracting the smallest value from the largest value in a data set. If the data set is \(1,3,5\), the range is \(5 - 1=4\), which is in line with "Difference between the largest and smallest values in a list of numbers".

Answer:

a. 2. Median
b. 4. Range
c. 1. Mean
d. 3. Mode