In the month of January, the number of cases diagnosed of influenza epidemic are given in the following table
|
Date |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
Number of cases |
2 |
0 |
5 |
12 |
20 |
27 |
46 |
The 3-day moving averages are:
Answer & explanation
Correct answer: option 4
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 $\frac{7}{3},\;\frac{17}{3},\;\frac{37}{3},\;\frac{59}{3},\;31$.