What is a good average?
Good average should be Absolute Number: A good average should be absolute in character. 12. Good average should be Possible to find central Tendency for open end class intervals: In many distributions’ ends are open. So, a good average is one which can be calculated even in open end class intervals.
What are the essential requisite of a good average?
Requisites of a good average are as follows:
It should be rigidly defined. It should be representative of all the items. It should not be unduly affected by extreme values. It should be capable of further algebraic treatment.
What are the characteristics of a good measure of central tendency?
CHARACTERISTICS OF A GOOD AVERAGE:
- Average is the easiest method to calculate.
- It should be rigidly defined.
- It should be representative of the entire series.
- It should have capable of further algebraic treatment.
- It should not be affected by the extreme values of the observation or series.
What are the essentials of a good average explain any three?
Measures of Central Tendency
Enumerate any three essentials of a good average. (i) It should be simple, (ii) It must be certain on character, (iii) It should be capable of further mathematical or algebric treatement.
Why is averaging useful?
Averages are a useful way of getting an overall picture. You work out one figure to represent all the data. She adds them up to get the total and divides by the number of days. We are thinking about pints of milk which have to be bought in whole numbers, so the average amount that they use is 3 pints a day.
What are desiderata of a good average?
Desiderata-It should be simple , clear and easy to understand. It should represent the whole data . It should be rigidly defined.It must be capable of algebraic treatment.
What kind of average is median?
Statistical location
| Type | Description | Example |
|---|---|---|
| Median | Middle value separating the greater and lesser halves of a data set | 1, 2, 2, 3, 4, 7, 9 |
| Mode | Most frequent value in a data set | 1, 2, 2, 3, 4, 7, 9 |
| Mid-range | The arithmetic mean of the highest and lowest values of a set | (1+9) / 2 |
Which of the following is easily affected by extreme values?
One shortcoming of the mean is that means are easily affected by extreme values. Measures that are not that affected by extreme values are called resistant. Measures that are affected by extreme values are called sensitive.
What are the principal criteria for satisfactory average?
An average which possesses all or most of the following qualities (characteristics) is considered a good average: (1) It should be easy to calculate and simple to understand. (2) It should be clearly defined by a mathematical formula. (3) It should not be affected by extreme values.
How many types of average are there?
There are three main types of average: mean, median and mode. Each of these techniques works slightly differently and often results in slightly different typical values. The mean is the most commonly used average. To get the mean value, you add up all the values and divide this total by the number of values.
What criteria do you apply to judge the merits of an average?
1) It is easy to compute and understand. 2) It is well defined an ideal average should be. 3) It can also be computed in case of frequency distribution with open ended classes. 4) It is not affected by extreme values and also interdependent of range or dispersion of the data.
What is a disadvantage of using the mean?
The important disadvantage of mean is that it is sensitive to extreme values/outliers, especially when the sample size is small.[7] Therefore, it is not an appropriate measure of central tendency for skewed distribution.[8] Mean cannot be calculated for nominal or nonnominal ordinal data.
What are the merits and demerits of mean median and mode?
I the case of simple statistical series, just a glance at the data is enough to locate the median value. (2) Free from the effect of extreme values: – Unlike arithmetic mean, median value is not destroyed by the extreme values of the series. (3) Certainty: – Certainty is another merits is the median.
Which is better mean and median?
Unlike the mean, the median value doesn’t depend on all the values in the dataset. Consequently, when some of the values are more extreme, the effect on the median is smaller. When you have a skewed distribution, the median is a better measure of central tendency than the mean.
What is median write its characteristics?
The value which occupies the centre position amongst the observations when arranged in ascending or descending order is the median. Fifty per cent scores are above or below the median. Hence, it is named as 50th percentile or positional average.
Why median is not affected by extreme values?
Median is the middle most value of a given series that represents the whole class of the series.So since it is a positional average, it is calculated by observation of a series and not through the extreme values of the series which. Therefore, median is not affected by the extreme values of a series.
Is unduly affected by extreme values?
(v) Median is unduly affected by extreme observations. This mathematical property applies to the arithmetic mean and not to median. Average is not enough to compare the series as it does not explain the extent of deviation of different items from the central tendency and the difference in the frequency of values.