To find the relative frequency for the value of 10 in the data set, you need to know how many times the value of 10 occurs relative to the total number of observations in the data set.
Step-by-step solution:
1. Count the occurrences of the value 10: To find the cumulative frequency of the value of 10, you count how many times it appears in the data set.
The data set is: 10, 14, 12, 16, 13, 14, 16, 10, 12, 10.
The value 10 appears 3 times.
2. Determine the total number of observations in the data set: This is the total count of numbers in the data set.
There are 10 numbers in total.
3. Calculate the relative frequency of the value 10: Divide the cumulative frequency of the value 10 by the total number of observations.
Relative frequency of the value 10 = Cumulative frequency of 10 / Total number of observations
= 3 / 10
= 0.3
The relative frequency for the value of 10 is 0.3. To express this as a percent, you would multiply by 100%, which would give you a result of 30%.
So, the relative frequency for the value of 10 as a percent is 30%. The option in the original question that matches our calculated value is not listed (since it states 35%), hence the correct option to "Submit answer" for the given data set is not provided.
