I need to complete a life table. How do I find the xlxbx value of my data when I have the following age intervals:

age interval(x1-xt+1)
0-63
63-124
124-184
184-215
215-264
264-278
278-292
292-306
306-320
320-334
334-348
348-362
362-

lxbx is
0
0
0
0
0
0
0
0.053
.485
.802
.972
.095
0

To find the xlxbx values for a life table, you need to calculate the following:

1. Calculate the mid-point (x) for each age interval. This can be done by adding the lower and upper boundaries of each interval and dividing by 2.
- For example, for the first interval (0-63), the mid-point would be (0 + 63) / 2 = 31.5.

2. Calculate the number of survivors (lx) for each age interval. The number of survivors for the first age interval (0-63) is typically given as the initial population. In your case, the given lxbx values are:
- l1 = 0
- l2 = 0
- l3 = 0
- l4 = 0
- l5 = 0
- l6 = 0
- l7 = 0
- l8 = 0.053
- l9 = 0.485
- l10 = 0.802
- l11 = 0.972
- l12 = 0.095
- l13 = 0

3. Calculate the number of deaths (dx) for each age interval. The number of deaths can be determined by subtracting the number of survivors for each interval from the number of survivors in the previous interval.
- For example, d1 = l1 - l2 = 0 - 0 = 0.
- Calculate the number of deaths for the other intervals using the same method.

4. Calculate the exposure to risk (Tx) for each age interval. This represents the total number of person-years lived in each interval. This can be calculated by adding the number of survivors in an interval to the number of survivors in the previous interval and dividing by 2.
- For example, T1 = (l1 + l2) / 2 = (0 + 0) / 2 = 0.

5. Calculate the probability of dying (qx) for each age interval. This can be calculated by dividing the number of deaths (dx) by the exposure to risk (Tx).
- For example, q1 = d1 / T1 = 0 / 0 = undefined.

6. Calculate the number of person-years lived (Lx) for each age interval. This represents the average number of person-years lived within an interval and can be calculated by subtracting the exposure to risk (Tx) from the number of deaths (dx).
- For example, L1 = d1 - T1 = 0 - 0 = 0.

7. Calculate the number of person-years lived (Tx) for each age interval. This represents the average number of person-years lived within an interval and can be calculated by adding the exposure to risk (Tx) from the previous interval to the exposure to risk (Tx) in the current interval.
- For example, T2 = T1 + T2 = 0 + (l2 + l3) / 2 = (0 + 0) / 2 = 0.

Using these calculations, you should be able to complete your life table and find the xlxbx values for each age interval.