Question

what is the median?

height of members in Mrs smith's class(in inches)
68,69,71,71,71,73,74,75,75,78

78
72.5
71
72

Answer 1

To find the median, you first need to arrange the data in numerical order and then identify the middle value.

For the heights of members in Mrs. Smith's class, the heights in order are:
68, 69, 71, 71, 71, 73, 74, 75, 75, 78

Since there are 10 values in this dataset (an even number), the median will be the average of the two middle values. The two middle values are the 5th and 6th values in this ordered list:

5th value: 71
6th value: 73

Now, calculate the average of these two values:
\[
\text{Median} = \frac{71 + 73}{2} = \frac{144}{2} = 72
\]

So, the median of the heights in Mrs. Smith's class is **72**.