Question

31. What is the difference between the median and mode of the
following data: 32, 38, 33, 35, 34, 42.​

Answer 1

median - mode = 34.5

Step-by-step explanation:

• We are given given some set of data as:

                                   32, 38, 33, 35, 34, 42

• We are asked to find out the difference between median and mode.

• First, we find out the median.

• To do this, we write the given data in ascending or descending order.

• So, we write as:

                                     32, 33, 34, 35, 38, 42

• We know that the middle term in ordered list or set.

• But, we can see that in our ordered set, two terms are middle terms. They are 34 and 35.

• So, we find out the mean of these two numbers.

• Thus, median = $\dfrac{34+35}{2} = 34.5$

• Now, we know that mode is the number that occurs most frequently in the set.

In the given set, each number occurs for only once. That's why the mode is zero.

• Hence, the difference = median - mode

• median - mode = 34.5 - 0

median - mode = 34.5

This is the difference of median and mode.