There are thirteen 2-digit consecutive odd numbers. if 39 is the mean of the first live such numbers, then what is the mean of all the thirteen numbers?
a) 47
b) 49
c) 51
d) 45

Respuesta :

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.