Question

complete the statement below. the ____ of a set of number items is \\(\frac{\text{sum of items}}{\text{number of items}}\\). the dropdown of a set of number items is \\(\frac{\text{sum of items}}{\text{number of items}}\\). dropdown options: grade point average, median (or average), mean (or average), mode (or average), mean (or median)

Explanation:

Step1: Recall the definition of mean

The mean (or average) of a set of numbers is calculated by dividing the sum of the numbers (items) by the number of numbers (items). For example, if we have numbers \( x_1, x_2, \dots, x_n \), the mean \( \bar{x} \) is given by \( \bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n} \), where \( \sum_{i=1}^{n}x_i \) is the sum of the items and \( n \) is the number of items.

Step2: Analyze other options

• Median: The median is the middle value when the data is ordered. It does not involve the formula of sum of items divided by number of items.
• Mode: The mode is the most frequently occurring value in a data set. It also does not use the sum of items over the number of items.
• Grade point average: While it is a type of average, the general definition of the average (mean) of a set of numbers (items) is sum of items divided by number of items, and grade point average is a specific application of the mean concept. But the first blank is about the general term for the measure that is sum of items over number of items, which is mean (or average).

Answer:

The \(\boldsymbol{\text{mean (or average)}}\) of a set of number items is \(\boldsymbol{\frac{\text{sum of items}}{\text{number of items}}}\).