Answer:
Therefore, the mean of all thirteen numbers is 47, which corresponds to option A.
Step-by-step explanation:
The thirteen 2-digit consecutive odd numbers are: 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59. To find the mean of all thirteen numbers, we can use the formula for the average:
[ \text{Mean of all thirteen numbers} = \frac{{(35 + 37 + 39 + \ldots + 59)}}{{13}} ]
We can simplify this by recognizing that the sequence is an arithmetic progression with a common difference of 2 between consecutive terms. The mean will be the 7th term from the start, which is 47.