Nakeysha makes a dot plot to show the number of hours some of her friends spent playing video games over the weekend. Her dot plot includes the number of observations. Which statement is true based on the dot plot?

(1 point)
Responses

The first day of the weekend, Nakeysha’s friends spent 4 hours playing video games.
The first day of the weekend, Nakeysha’s friends spent 4 hours playing video games.

Four of Nakeysha’s friends are observed.
Four of Nakeysha’s friends are observed.

Five total hours were spent playing video games.
Five total hours were spent playing video games.

There are 15 observations made.

Given
Hours Playing Video Games
4 x's over 2
3 x's over 3
5 x's over 4
3 x's over 5

1 answer

To analyze the dot plot provided, let's break down the information based on the number of "x's" representing the hours spent playing video games:

  • 2 hours: 4 x's → means 4 friends spent 2 hours playing video games
  • 3 hours: 3 x's → means 3 friends spent 3 hours playing video games
  • 4 hours: 5 x's → means 5 friends spent 4 hours playing video games
  • 5 hours: 3 x's → means 3 friends spent 5 hours playing video games

Now, we can summarize the total number of observations (friends):

  • 4 (for 2 hours) + 3 (for 3 hours) + 5 (for 4 hours) + 3 (for 5 hours) = 15 friends

Now let's analyze each statement given:

  1. The first day of the weekend, Nakeysha’s friends spent 4 hours playing video games. - This statement cannot be verified as the dot plot does not specify which day is which hour amount.

  2. Four of Nakeysha’s friends are observed. - This statement is false as we calculated there are 15 friends observed.

  3. Five total hours were spent playing video games. - This statement does not represent the total hours. It only shows the hours spent individually by various friends.

  4. There are 15 observations made. - This statement is true as we calculated and confirmed that the total number of observations (friends) is indeed 15.

Thus, the true statement based on the dot plot is:

There are 15 observations made.