Mean Median Mode And Standard Deviation

• Mean is the arithmetic average of a data set and is sensitive to extremely high or low values.
• Median is the middle value of the data when arranged in order. It is often a better measure of central tendency for skewed distributions because it is not affected by outliers.
• Mode is the value that appears most frequently in the data set.

• Sample size:
• Sample mean:
• Population standard deviation:

• Denominator:
• Numerator:

1. Option A states Mean - Mode = 3(Mean - Median), which is a recognized empirical relationship.
2. Option C states Mode = 3 Median - 2 Mean, which is also a recognized empirical formula.

To find the mean of numbers obtained by throwing a die with faces numbered as follows: three faces with "1", two faces with "2", and one face with "5", we need to calculate the average. First, let's determine the total sum of the numbers on all faces and then divide it by the total number of faces.

• Total occurrences of the number "1" = 3
• Total occurrences of the number "2" = 2
• Total occurrences of the number "5" = 1

Now, calculate the sum of all numbers:

Next, calculate the total number of faces:

Now, calculate the mean:

Thus, the mean of the numbers obtained on throwing the die is 2.