Question

Observe the following table and find the Mean: 

Hint:

When using the Assumed Mean Method, choose a class mark near the center of the data as the assumed mean to simplify calculations. \[ \bar{X} = A + \frac{\Sigma f_i d_i}{\Sigma f_i} \]

Answer 1

Step 1: Recall the formula for Mean (Assumed Mean method).
\[ \bar{X} = A + \frac{\Sigma f_i d_i}{\Sigma f_i} \] Step 2: Substitute the given values.
\[ A = 300, \quad \Sigma f_i d_i = 320, \quad \Sigma f_i = 50 \] Step 3: Substitute in the formula.
\[ \bar{X} = 300 + \frac{320}{50} \] Step 4: Simplify.
\[ \bar{X} = 300 + 6.4 = 306.4 \] Step 5: Conclusion.
Therefore, the mean of the given data is \(306.4.\)
Final Answer: \[ \boxed{\bar{X} = 306.4} \]