In: Statistics and Probability
Refer to Revenue Data Excel File. The 4 QTR Centered Moving Average for the 2nd quarter of 2017 is: Select one: a. 222.125 b. 333.875 c. 269.250 d. 243.625
Year | QTR | Revenue (in $1000) |
2015 | 1 | 205 |
2 | 400 | |
3 | 200 | |
4 | 229 | |
2016 | 1 | 236 |
2 | 219 | |
3 | 211 | |
4 | 200 | |
2017 | 1 | 280 |
2 | 275 | |
3 | 261 | |
4 | 322 | |
2018 | 1 | 500 |
2 | 230 | |
3 | 310 | |
4 | 400 | |
2019 | 1 | 325 |
2 | 241 | |
3 | 379 | |
4 | 316 |
Here first we have to find the 4 QTR centered moving average. Also here we have given the four QTR for each year. So for finding the 4 QTR centered moving average we can not able to find the center value of the four values.So we have to Proceed as follows
1) We have to find the 4 QTR moving average.
2) Write the value of the 1st 4 QTR moving average at the center of the first four QTR as 1 , 2 ,3 , 4.
3) Here we get the two center values as from 1 , 2 , 3 ,4 as 2 , 3.
4) Write the value of first 4 QTR moving average at the position of 2nd QTR.
5) Then find the value for the 2 QTR moving average of previously founded 4 QTR moving average.
6) Write this value of 2 QTR at the position of 3rd QTR.
7) Now find the values that we have ask to find that is record the value corresponding to the 2nd QTR of year 2017
Let us do it for our example.
Year | QTR | Revenue (in $1000) | 4 QTR Moving average | 2 QTR Moving average of 4 QTR MA |
2015 | 1 | 205 | ||
2 | 400 | 258.5 | ||
3 | 200 | 266.25 | 262.375 | |
4 | 229 | 221 | 243.625 | |
2016 | 1 | 236 | 223.75 | 222.375 |
2 | 219 | 216.5 | 220.125 | |
3 | 211 | 227.5 | 222 | |
4 | 200 | 241.5 | 234.5 | |
2017 | 1 | 280 | 254 | 247.75 |
2 | 275 | 284.5 | 269.25 | |
3 | 261 | 339.5 | 312 | |
4 | 322 | 328.25 | 333.875 | |
2018 | 1 | 500 | 340.5 | 334.375 |
2 | 230 | 360 | 350.25 | |
3 | 310 | 316.25 | 338.125 | |
4 | 400 | 319 | 317.625 | |
2019 | 1 | 325 | 336.25 | 327.625 |
2 | 241 | 315.25 | 325.75 | |
3 | 379 | 312 | 313.625 | |
4 | 316 | 347.5 | 329.75 |
So here we get the 4 QTR centered moving average for the 2nd quarter of 2017 is 269.250 Which is highlighted in the last column. So the final answer is the c ) 269.250.