Question

Find the median and mode of the following data.

28 , 15 , 40 , 25 , 16 , 28 , 32 , 36 , 42 , 16 , 19 , 23

Answer 1

The median of the given data set is 26.5, and it has a bimodal distribution with modes 16 and 28.

Step-by-step explanation:

To find the median and mode of the given data set (28, 15, 40, 25, 16, 28, 32, 36, 42, 16, 19, 23), we must first arrange the numbers in ascending order:

1. 15
2. 16
3. 16
4. 19
5. 23
6. 25
7. 28
8. 28
9. 32
10. 36
11. 40
12. 42

Since there are 12 numbers, the median will be the average of the 6th and 7th values: (25 + 28) / 2 = 26.5.

The mode is the number that appears most frequently, which in this case is 16 and 28, appearing twice each. So we have two modes, making the data bimodal.