Final answer:
The ages of the members of a legislature from a particular state are listed below. The mean of the data set is 49, the median is 43, and the mode is 43.
Step-by-step explanation:
To find the mean, median, and mode of a data set, we first need to understand what each of these measures represent.
The mean is the average of all the values in the data set.
The median is the middle value when the data set is arranged in order.
The mode is the value that appears most frequently in the data set.
For the given data set: 68, 41, 36, 43, 51, 43, 32, 52, 48
The mean is calculated by summing up all the values and dividing by the total number of values.
In this case, the mean is (68 + 41 + 36 + 43 + 51 + 43 + 32 + 52 + 48) / 9 = 49.
Therefore, the mean is 49.
To find the median, we need to arrange the values in increasing order: 32, 36, 41, 43, 43, 48, 51, 52, 68.
Since there are 9 values, the median will be the (9 + 1) / 2 = 5th value, which is 43.
Therefore, the median is 43.
The mode is the value that appears most frequently.
In this case, the value 43 appears twice, which is more than any other value.
Therefore, the mode is 43.