Sophia tallied the number of times her favorite new song played on 9 radio stations this week. She tallied:

Question

5 plays7 plays7 plays4 plays2 plays4 plays5 plays8 plays3 plays
What was the mean number of plays?

plays

Answer 1

To find the mean number of plays, we need to sum up the total number of plays and then divide by the number of radio stations.

Here are the plays tallied:

• 5 plays
• 7 plays
• 7 plays
• 4 plays
• 2 plays
• 4 plays
• 5 plays
• 8 plays
• 3 plays

Now, let's calculate the total sum of the plays:

\[ 5 + 7 + 7 + 4 + 2 + 4 + 5 + 8 + 3 \]

Calculating the sum step by step:

1. \(5 + 7 = 12\)
2. \(12 + 7 = 19\)
3. \(19 + 4 = 23\)
4. \(23 + 2 = 25\)
5. \(25 + 4 = 29\)
6. \(29 + 5 = 34\)
7. \(34 + 8 = 42\)
8. \(42 + 3 = 45\)

The total number of plays is \(45\).

Next, we divide this total by the number of radio stations, which is 9:

\[ \text{Mean} = \frac{45}{9} = 5 \]

Thus, the mean number of plays is \(5\) plays.