22 
BULLETIN 1480, U. S. DEPARTMENT OF AGRICULTURE 
Table 6. — Prices received by producers of corn in the State of Iowa, June 
15, 1925 — Continued 
RELATIVE WEIGHTS 
Cents 
per 
bushel 
District 
District 
2 
District 
3 
District 
4 
District 
District District . District District 
6 7 8 9 
State 
Straight average for State 103.3 cents. 
Standard deviation for State 5.8 cents. 
Coefficient of variability » 5.6 per cent. 
Probable error of average 2 .4 cent. 
Relative probable error 3 .4 per cent. 
Weighted average for State 103.1 cents. 
1 The standard deviation expressed as a percentage of the average. 
2 The probable error of the average is equal to 0.6745 times the standard deviation of the series or array, 
divided by the square root of the number of reports; or P. E. average =0.6745 
VN. 
3 The probable error of the average expressed as a percentage of the average. 
The weighting of crop prices by crop-reporting districts is a 
device which aids materially in obtaining a representative average 
for the State. In case only a few reports are received from an im- 
portant producing district they are given their proper influence on 
the State average when weighed by the importance of that district. 
Table 7 shows the distribution of hay prices in Indiana by crop- 
reporting districts. Weighting the district prices undoubtedly in- 
creased the reliability of the State average. 
Table 7. — Prices received by producers of hay in the State of Indiana, June 
15, 1925 
DISTRIBUTION OF REPLIES 
Price, T)jctrir-t 
dollars - Uis l rict 
per ton j 
District 
2 
District 
3 
District 
4 
District ] District 
5 6 
District 
District 
8 
District 
9 
State 
6 
1 
1 
8 
1 
1 
1 
3 
9 
1 
1 
1 
2 
10 
1 
3| 
4 
1 
11 
11 
1 
1 
1 
12 
1 
4 1 4 
1 
11 
13 
: i 
14 
1 
i i 
1 
15 
i 
1 1 1 
2 
16 
_ 
1 
1 
1 
1 
2 
17 
1 
1 
3 
18 
1 
2 
19 
:::_.::::::::::::: 
20 
1 
_ 1 
"TT --T 
3 
Total __ 
2 
*i » 
3 
4 ! 2 
9 1 11 
4 
42 
AVERAGES, IN DOLLARS PER 
TON 
16. 00 j 
12.50 
10. 67 | 12. 00 1 9. 00 9. 00 | 
14.89 | 
12.73 
11.50 1 
12. 48 
RELATIVE WEIGHTS 
1 8 I 
12 
15 | 10 17 7 j 
13 | 
9 
9 , 
100 
Straight average for State 
Standard deviation 
Coefficient of variability 1 
Probable error 01 the average 
Relative probable error 3 
Weighted average for--,State... 
.per cent. 
.per cent. 
$12. 48 
$3.55 
28.4 
$0.37 
3.0 
$11.86 
(See Table 6 footnotes.) 
