If mode is 52 and mean is 28, then median is
Answers
Answer:
mean = 28
mode = 54
mean - mode = 3 (mean - median)
28- 52 = 3(28 - median)
-24 = 3 (28 -median)
-24= 84 - 3 median
3 median = 84 +24
3 median = 108
median = 108/3
median = 36
Answer:
The answer to this question is 36.
Step-by-step explanation:
Let's get into the depth and understand what these terms are actually.
In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value. The basic feature of the median in describing data compared to the mean (often simply described as the "average") is that it is not skewed by a small proportion of extremely large or small values, and therefore provides a better representation of a "typical" value. Median income, for example, may be a better way to suggest what a "typical" income is because income distribution can be very skewed. The median is of central importance in robust statistics, as it is the most resistant statistic, having a breakdown point of 50%: so long as no more than half the data are contaminated, the median is not an arbitrarily large or small result.
For a data set, the arithmetic mean, also known as "arithmetic average", is a measure of the central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values. The arithmetic mean of a set of numbers x1, x2, ..., xn is typically denoted using an overhead bar,
the mode is the value that appears most often in a set of data values.[1] If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.
Like the statistical mean and median, the mode is a way of expressing, in a (usually) single number, important information about a random variable or a population. The numerical value of the mode is the same as that of the mean and median in a normal distribution, and it may be very different in highly skewed distributions.
The mode is not necessarily unique to a given discrete distribution, since the probability mass function may take the same maximum value at several points x1, x2, etc. The most extreme case occurs in uniform distributions, where all values occur equally frequently.
mean = 28
mode = 54
mean - mode = 3 (mean - median)//Formula to be learnt thoroughly.
28- 52 = 3(28 - median)
-24 = 3 (28 -median)
-24= 84 - 3 median
3 medians = 84 +24
3 medians = 108
median = 108/3
median = 36
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