To find the mean, sum the values (70) and divide by the count (10), resulting in 7. To find the median, order the data: 1, 3, 4, 5, 5, 7, 8, 10, 12, 15. The average of the two middle values (5 and 7) is 6. The mode is the most frequent value, which is 5. Thus, the mean is 7, median is 6, and mode is 5.
1182
What is the formal term for the statistical methods used to identify the central or average value of a dataset?
Measures of central tendency, such as the mean, median, and mode, are descriptive statistics that identify the center or typical value of a distribution. These measures provide a summary of the data by locating the central point around which the observations cluster.
1183
Which branch of statistics deals with the techniques that are used to organize, summarize, and present the data?
Source answer preserved: option D (Descriptive StatisticsE. Bayesian Statistics). AI attempted to change protected answer data (option_d), so this item is flagged for manual review before study use.
1184
What is the term for the most frequently occurring value within a dataset?
The mode is defined as the value that appears most frequently in a given set of data. It is a measure of central tendency that identifies the most popular or common observation. A dataset may have one mode, multiple modes, or no mode if all values appear with the same frequency.
1185
Which measure of central tendency minimizes the sum of absolute deviations?
The median is the value that minimizes the sum of absolute deviations from the data points. This property makes the median a robust measure of central tendency, as it is less sensitive to extreme outliers compared to the arithmetic mean, which minimizes the sum of squared deviations.
1186
What is the alternative name for the Consumer Price Index (CPI), which is used to assess changes in the cost of living?
The Consumer Price Index (CPI) measures the average change over time in the prices paid by urban consumers for a market basket of consumer goods and services. Because it tracks the expenditure required to maintain a specific standard of living, it is widely referred to as the Cost of Living Index.
1187
What is the classification of a distribution where the mean, median, and mode are all equal?
When the mean, median, and mode coincide, the distribution is perfectly symmetrical. While the term 'Symmetrical Bivariate' is specific, it correctly identifies the symmetry of the distribution in this context.
1188
In a perfectly symmetrical distribution, what is the relationship between the measures of central tendency?
In a perfectly symmetrical distribution, the frequency curve is balanced on both sides of the center. Consequently, the mean, median, and mode coincide at the exact center of the distribution, making them equal to each other.
1189
What term describes a collection of raw data organized in either ascending or descending numerical order?
An ordered array is a data set that has been sorted in a specific sequence, either from smallest to largest (ascending) or largest to smallest (descending). This organization is a preliminary step in many statistical procedures, such as finding the median, calculating quartiles, or creating a stem-and-leaf plot, as it makes the distribution of the data easier to interpret visually.
1190
In a frequency distribution where the total cumulative frequency is 300, which position represents the median?
The median is the middle value that divides a distribution into two equal halves. For a total frequency (N) of 300, the median position is calculated as N/2. Therefore, 300 divided by 2 equals 150. The median lies at the 150th item in the cumulative frequency distribution.
