Which of the following is a "Positional Average"?Arithmetic MeanGeometric MeanHarmonic MeanMedian (2024)

FAQs

Which is the following is positional average? ›

In median, the middle most value of the series is taken as the representative value. Therefore, median is a positional average.

There are two types of positional average: the median and the mode. The median is the average value of the series in which half the values are less than the median and half the values are greater than the median.

This statement is false as mean is not a positional average, rather the statement holds true for median and mode. The calculation of median and modal values is based on the position of the items in the series, i.e. why these are also termed as positional averages.

Arithmetic mean is often referred to as the mean or arithmetic average. It is calculated by adding all the numbers in a given data set and then dividing it by the total number of items within that set.

So, there are three quartiles, first, second and third represented by Q₁, Q₂ and Q₃, respectively. Q₂ is nothing but the median, since it indicates the position of the item in the list and thus, is a positional average. To find quartiles of a group of data, we have to arrange the data in ascending order.

Similarly, there are other positional values which divide the ordered data into different number of equal parts, like, Quartiles divide in four equal parts, Deciles in ten equal parts and Percentiles in hundred equal parts. The median is the middle value in a set of data that has been arranged from smallest to largest.

Median is the positional measure of central tendency

Median and mode are the two commonly used measures of central tendency. The median is sometimes referred to as a measure of location as it tells us where the data are. Unlike the mean, the median value doesn't depend on all the values in the dataset.

What Is Symmetrical Distribution? A symmetrical distribution occurs when the values of variables appear at regular frequencies and often the mean, median, and mode all occur at the same point. If a line were drawn dissecting the middle of the graph, it would reveal two sides that mirror one other.

The arithmetic mean is the average of a sum of numbers, which reflects the central tendency of the position of the numbers. It is often used as a parameter in statistical distributions or as a result to summarize the observations of an experiment or a survey.

More generally, a positional system is a numeral system in which the contribution of a digit to the value of a number is the value of the digit multiplied by a factor determined by the position of the digit.

Which of the following is the arithmetic mean? ›

The arithmetic mean is the simple average, or sum of a series of numbers divided by the count of that series of numbers.

In positional number system, each system has a value that relates to the number directly next to it. The total value of a positional number is the total of the resultant value of all positions. 3. Example: 12 can be 1 x 10 + 2 x 1, 10 + 2 = 12.

Answer and Explanation:

The arithmetic average of a set of observation is also known as mean as the mean value is the arithmetic average of the data observations.

Sum of all of the numbers of a group, when divided by the number of items in that list is known as the Arithmetic Mean or Mean of the group. For example, the mean of the numbers 5, 7, 9 is 4 since 5 + 7 + 9 = 21 and 21 divided by 3 [there are three numbers] is 7.

A mean is defined as the mathematical average of the set of two or more data values. Average is usually defined as mean or arithmetic mean. Mean is simply a method of describing the average of the sample. Average can be calculated for any discrete numbers where it assumes uniform distribution.

Median is the positional measure of central tendency

Median and mode are the two commonly used measures of central tendency. The median is sometimes referred to as a measure of location as it tells us where the data are. Unlike the mean, the median value doesn't depend on all the values in the dataset.

While in the case of mathematical averages the calculated value might not be in the series of the respective data set but in the case of positional averages, the calculated average value must be a value that lies within the set of observed data.

Mode is not a positional value

The mode is then identified as the number that appears the most frequently in the given sequence of numbers.