Question

How can I find the median size and how can I state the mode shoe size ?

Answer 1

ANSWERS

• Median: 6

,

• Mode: 5

Step-by-step explanation

The median of a data set is the value that separates the upper half of the data from the lower half. To find it, we have to write the data in order from least to greatest,

`4,4,4,4,5,5,5,5,5,5,5,5,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9`

In this case, the number of data values is 30, so the median is the mean between the 15th and 16th values. Here, those two values are both 6, so the median shoe size is 6.

The mode of a data set is the value or values that occur most often. In this case, the occurrences are:

• 4: 4 times

,

• 5: 9 times

,

• 6: 3 times

,

• 7: 6 times

,

• 8: 5 times

,

• 9: 3 times

Hence, since it is the value with more occurrences, the mode shoe size is 5.