Question

For the given values 23, 32, 40, 47, 58, 38, 42; the 5-yearly moving averages are:

• A. \( 38, 40, 42 \)
• B. \( 40, 42, 44 \)
• C. \( 40, 42, 46 \)
• D. \( 42, 44, 46 \)

Hint:

To calculate moving averages, use a fixed window size (in this case, 5 values) and compute the mean by sliding the window by one position each time.

Answer 1

The Correct Option is B

Moving averages are calculated as the mean of consecutive 5 values. \[ {First Average:} \quad \frac{23 + 32 + 40 + 47 + 58}{5} = 40. \] \[ {Second Average:} \quad \frac{32 + 40 + 47 + 58 + 38}{5} = 42. \] \[ {Third Average:} \quad \frac{40 + 47 + 58 + 38 + 42}{5} = 44. \]