Question

median always lies in between the arithmetic mean and mode true or false​

Answer 1

Answer:

true

Step-by-step explanation:

mode=3median-2mode

Answer 2

Answer:

It is True that the median always lies between the arithmetic mean and mode

Step-by-step explanation:

• Mean, Median, and Mode are measures of central tendency
• The mean is the average of all the observations
• Median is the middlemost observation
• Mode is the observation with the highest frequency
• The relationship between mean, mode, and the median is equal 3Median=2Mean + Mode.

Now we must understand the frequency distribution graph to understand how the median always lie between the mean and mode

• For the case of a frequency distribution that has a symmetrical frequency curve, the empirical relation states that mean = median = mode.

• In the case of a positively skewed frequency distribution curve,  we have mean > median > mode.

• In the case of negatively skewed frequency distribution, we have mean < median < mode.

Clearly, in all the above 3 cases, the median always lies between the mean and the mode so the given statement is TRUE