Final answer:
After calculating the sum of the given data values and accounting for the mean, the value of p is determined to be 4, which is not listed in the provided options. It is recommended to double-check the calculations and if correct, verify the question for any errors.
Step-by-step explanation:
To determine the value of p in the data set given that the mean of the data is 36, we will use the formula for calculating the mean:
Mean = (Sum of all data values) / (Number of data values)
There are 9 data values in the set including p. According to the formula, we have:
36 = (20 + 30 + 30 + 40 + 40 + 50 + 50 + 60 + p) / 9
We will multiply both sides by 9 to get the sum of all data values:
36 * 9 = 324 = 320 + p
Now, we subtract 320 from both sides to solve for p:
324 - 320 = p
p = 4
However, since p = 4 is not one of the given options (A, B, C, D), it is important to recheck the initial calculations. If the calculations are correct, there might be an error in the question or the provided options as none of them match the computed value.