The table gives the average number of days of rain in each month of the year. Find the median of the

Question

given data.
Months
Jan 6
Feb 7
Mar 10
Apr 10
May 11
Jun 12
Jul 10
Aug 10
Sep 9
Oct 7
Nov 7
Dec 6

answers below:
6
8.76
9.5
10

Answer 1

To find the median of the given data, we first list the average number of days of rain for each month in increasing order:

• January: 6
• February: 7
• October: 7
• November: 7
• September: 9
• March: 10
• April: 10
• July: 10
• August: 10
• May: 11
• June: 12
• December: 6

Arranging these values in order gives us:

6, 6, 7, 7, 7, 9, 10, 10, 10, 10, 11, 12

There are 12 months of data, which is an even number. The median is the average of the two middle values.

The two middle values (6th and 7th values) in this ordered list are:

1. 9 (6th value)
2. 10 (7th value)

Now, calculate the median:

\[ \text{Median} = \frac{9 + 10}{2} = \frac{19}{2} = 9.5 \]

Thus, the median of the given data is 9.5.