Thornfield Apiary keeps bees at two sites, a Meadow site and a Ridge site. After the season the beekeeper wrote: our average hive produced 54 pounds of honey this year. The Meadow hives averaged 60 pounds and the Ridge hives averaged 40 pounds, so 54 is right where I'd expect the apiary's average to land, about midway. These three figures, the Meadow site mean of 60 pounds, the Ridge site mean of 40 pounds, and the claimed apiary mean of 54 pounds, are the only per-hive averages recorded for the season. The cooperative that buys Thornfield's honey wants a verified per-hive average across the whole apiary to set a bulk price.
Number of hives at each site, Thornfield Apiary, one season. This card records only how many hives stood at each site; the per-hive honey averages are reported in the study summary.
| Site | Number of hives |
|---|---|
| Meadow | 35 |
| Ridge | 15 |
| Apiary total | 50 |
The apiary-wide per-hive average is the apiary's total honey divided by the total number of hives, not the average of the two site means. A site's total honey is its number of hives multiplied by its per-hive mean, so combining the sites requires both each site's mean and each site's hive count. Because the two sites have different numbers of hives, the apiary-wide average is pulled toward the site with more hives. All hives were weighed individually; there is no missing data.
The cooperative is checking the beekeeper's reasoning about the apiary average. For each statement, select Yes if it is accurate given the sources; otherwise select No.
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