Use the table to answer the question. The table gives the average number of days of rain in each month of the year. Find the median of the 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
(The numbers next to the months are days of Rain) (1 point)

1 answer

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

  • Jan: 6
  • Feb: 7
  • Mar: 10
  • Apr: 10
  • May: 11
  • Jun: 12
  • Jul: 10
  • Aug: 10
  • Sep: 9
  • Oct: 7
  • Nov: 7
  • Dec: 6

Now, let's list them in ascending order:

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

There are 12 numbers in total. Since the number of data points (12) is even, the median will be the average of the two middle numbers. The middle numbers are the 6th and 7th values in our ordered list.

The 6th number is 9 and the 7th number is 10.

Now, we calculate the median:

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

So, the median number of days of rain is 9.5.

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