Question

1.Write the formula of mean in all three methods and explain the terms?​

Answer 1

Answer:

Mean = ∑X ÷ N

Mean = ∑X ÷ NHere, ∑X= Sum of all the individual values and N= Total number of items. The simple arithmetic mean considers all the values in data as equal and grants equal importance to each value.

Step-by-step explanation:

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Answer 2

The formulas of the mean are;

1) Mean for ungrouped data:

Mean= ∑x / n,

where ∑x= Sum of all the n numbers

2) Mean for grouped data:

i) Direct Method

Assume x1, x2, x3,...., xn are n observations with corresponding frequency f1, f2, f3,...., fn. This indicates that the observation x1 happens f1 times, x2 happens f2 times, x3 happens f3 times, and so on. As a result, the formula for calculating the mean using the direct technique is:

Mean = ∑f.x / ∑f

ii) Assumed mean Method

We normally accept a value as the mean in this manner (namely a). This number is used to calculate the deviations on which the formula is based. Furthermore, the data will be presented in the form of a frequency distribution table with classifications. As a result, the formula for calculating the mean using the assumed mean technique is:

Mean = a + ∑f.d/ ∑f

Here,

a = assumed mean