Answer :
Sure! Let's determine the measures of central tendency for the given data set, specifically the mean and the median, rounding to two decimal places. Here's how you do it:
### Mean
The mean is the average of all the numbers in the data set. To find the mean, you add up all the values and then divide by the number of values.
Steps to calculate mean:
1. Add up all the values in the data set.
2. Count the total number of values.
3. Divide the sum by the number of values.
After performing these calculations, the mean of this data set is 39.51 when rounded to two decimal places.
### Median
The median is the middle value when the data set is ordered from least to greatest. If there is an even number of observations, the median is the average of the two middle numbers.
Steps to calculate median:
1. Arrange the data in ascending order.
2. Identify the middle position: If the number of values (n) is odd, the median is the value at position (n+1)/2. If n is even, it's the average of the values at positions n/2 and (n/2)+1.
For this data set, after arranging the numbers in order and finding the middle, the median is 41.10.
So, the measures of central tendency for this data set are:
- Mean = 39.51
- Median = 41.10
### Mean
The mean is the average of all the numbers in the data set. To find the mean, you add up all the values and then divide by the number of values.
Steps to calculate mean:
1. Add up all the values in the data set.
2. Count the total number of values.
3. Divide the sum by the number of values.
After performing these calculations, the mean of this data set is 39.51 when rounded to two decimal places.
### Median
The median is the middle value when the data set is ordered from least to greatest. If there is an even number of observations, the median is the average of the two middle numbers.
Steps to calculate median:
1. Arrange the data in ascending order.
2. Identify the middle position: If the number of values (n) is odd, the median is the value at position (n+1)/2. If n is even, it's the average of the values at positions n/2 and (n/2)+1.
For this data set, after arranging the numbers in order and finding the middle, the median is 41.10.
So, the measures of central tendency for this data set are:
- Mean = 39.51
- Median = 41.10
