Question

The ages (in years) of eight passengers on a bus are listed below.
10 7 26 16 21 43 40 30
The measure of center is found to be 23.5 yr. Which measure of center is used?


mean
median
mode
midrange

Answer 1

The answer to this is mean

Answer 2

Answer: median

Step-by-step explanation: Statistical Mathematics

• First, we re-arrange the given data in ascending or descending order.
• Then we count the no. of data (here 8).
• If the data given is odd in count then the middle value of the arranged data is the median.
• but if the case is of even no. of data then we take the average of the two middle values of the arranged data.

7, 10, 16, 21, 26, 30, 40, 43

Here we have an even number of the data entries so we get two values in the mid.

Now take the average of those mid values:

$\frac{21+26}{2}$ = 23.5

• Subtract the least value from the greatest value to find the range.
• For midrange add together the greatest value and the least value and divide by 2.
• Mean is the average of all the values.
• Mode is the value that occurs the most number of times.