If the pumpkins follow a normal distribution, then some behaviour of the data is expected:
- Approximately 50% of the data will be below the mean and the other 50% will be above the mean. This will be more precise as the sample size grows.
The fact that 75% of the pumpkins have weigths above the mean does not correspond to a normally-like distribution.
- The median is expected to be equal or around the mean value.
If the median is 10 lb or 35 lb, it may be an indication that the distribution is not normal, but skewed to the right or the left.
- 68% of the data is expected to fall within one standard deviation from the mean.
Then, the first 3 options correspond to clear signs that the distribution is not normal.
Answer:
Check:
- 75% of the pumpkins in the sample have weigths above the mean.
- The median pumpkin weight is 35 lb.
- The median pumpkin weight is 10 lb.