Question

The arithmetic mean of 150, 250, 350, 450, 550 and 650 is _____.

Answer 1

Answer:

750

Step-by-step explanation:

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Answer 2

Answer: The arithmetic mean of 150, 250, 350, 450, 550 and 650 is 400.

Step-by-step explanation:

Arithmetic mean is considered as sum of values divided by total number of values.

Arithmetic mean = $\frac{150 + 250 + 350 + 450 + 550 + 650 }{6}$

                            = $\frac{2400}{6}$

                            = $400$

• To determine the arithmetic mean for grouped data, there are three approaches (Direct method, Short-cut method, and Step-deviation method). The numerical value of xi and fi determines the method that should be employed.
• Fi is the total sum of all input frequencies, and xi is the total sum of all data inputs. Summarization is symbolised by the letter "sigma." The direct method will function as long as xi and fi are both small enough. However, if they are numerically large, we employ the step-deviation approach or the assumed arithmetic mean method.

• Let's examine some of the key characteristics of the arithmetic mean. Assuming that x is the arithmetic mean of the n observations indicated by the letters x1, x2, x3,..., xn, then
• If the given data set's observations all have a value, let's say'm,' then the data set's arithmetic mean is also 'm. Consider the following data: 15, 15, 15, 15, and 15. Thus, their sum is 15+15+15+15+15, which is 15 5 = 75; n = 5. Mathematical mean now equals total/n = 75/5 = 15.

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