In the month of January, the number of cases diagnosed of influenza epidemic are given in the following table

The 3-day moving averages are:

$2.3, 5.6, 12.3, 19.6, 31$

The correct answer is Option (4) → $2.3, 5.6, 12.3, 19.6, 31$

Given data

Number of cases: $2,\;0,\;5,\;12,\;20,\;27,\;46$

Three-day moving averages

First moving average

$=\frac{2+0+5}{3}=\frac{7}{3}$

Second moving average

$=\frac{0+5+12}{3}=\frac{17}{3}$

Third moving average

$=\frac{5+12+20}{3}=\frac{37}{3}$

Fourth moving average

$=\frac{12+20+27}{3}=\frac{59}{3}$

Fifth moving average

$=\frac{20+27+46}{3}=\frac{93}{3}=31$

The 3-day moving averages are $\frac{7}{3},\;\frac{17}{3},\;\frac{37}{3},\;\frac{59}{3},\;31$.