Is it correct to say that the mean, mode and median of the grouped data are always different? … No, the value of these three measures can be the same, it depends on the type of data. Answers. Step-by-step solution from experts to help you in case of doubt and get excellent exam results.
Is it correct to say that the mean mode and median of the clustered data will always be different to justify your answer?
It is not correct to say that mean, mode and median of chart data will always be different. Imagine a data chart where all data values are equal. Then the mode, median and mean are the same.
Can mean and mode be the same or not?
Yes and no . All continuous data has a median, mode, and mean.
Is the median always between the mean and the mode?
The mode is always below the median, which is below the mean when the data distribution is right-skewed.
Can the mean and median of a data set be the same?
In a perfectly symmetric distribution, the mean and median are equal. This example has one mode (unimodal) and the mode is the same as mean and median. For a two-modal (bimodal) symmetrical distribution, the two modes would differ from the mean and median.
Is the median qualitative or quantitative?
When the data analyzed is qualitative, the only measure of central tendency that can be reported is the mode. However, if the data is quantitative in nature (ordinal or interval/ratio), mode, median, or mean can be used to describe the data.
Is the median always higher than the mean?
One of the basic principles of statistics that every student learns about the second week of introductory statistics is that when the distribution is skewed, the mean is closer to the tail when the distribution is skewed. If the distribution is right-skewed (the tail points right on the number line), the mean is greater than the median.
What is the relationship between mean and mode?
If a frequency distribution plot has a symmetric frequency curve, the mean, median, and mode are the same. Mean = median = mode. For a positive asymmetric frequency distribution.
Are mean and mode the same?
The mean is the mean of a data set. The mode is the most common number in a record. The median is the middle of the set of numbers.
What is the relationship between the mean and the median?
The mean is the average of all values. The median is the mean that divides the number of data in half. In other words, 50% of the observations are below the median and 50% of the observations are above the median. The mode is the most common value among the given observations.
What does the median tell you?
WHAT CAN THE MEDIAN TELL YOU? The median is a useful measure of the middle of a data set. By comparing the median to the mean, you can get an idea of the distribution of a data set. When the mean and median are equal, the data set is more or less evenly distributed from lower to higher values.