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The following data show the number of dogs per house in a neighborhood: 2, 1, 3, 2, 1, 4, 1, 5, 2, 1, 3, 1 The data have been organized into a dot plot, as shown below: A dot plot with integers 1 to 5 is shown. It is labeled Dogs, and titled Dogs in Houses. There are 4 dots above 1, 3 dots above 2, 2 dots above 3, 1 dot above 4, and 1 dot above 5. For which number are the data plotted incorrectly?

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From the given data, there are five 1's, three 2's, two 3's, one 4 and one 5. All in all there are 26 dogs. From the accounting we did from the previous sentence, it is evident that there should be 5 dots above 1. 1 is the number in which the data are plotted incorrectly. 

The total number of dots in the dot plot corresponds to the frequency of observations of the values. The number of dots plotted above 1 is incorrect.

How does the dot plot work?

Assume we're measuring something using numerical quantities. We plot a dot above that value in the number line for each value of that thing we observe. As a result, the total number of dots in the dot plot corresponds to the entire number of observations of the values of whatever we did.

Now, Assume that if we see the value 'x,' we shall draw a dot above 'x.' If a dot already exists over 'x,' we shall place a new dot on top of it.

If a table of unique observations and frequency is provided instead of only observations, we depict dots as many times as the count indicated in the frequency table. Thus, if the number 2 has a frequency of 3, we draw three dots above the value 2 on the horizontal axis, one above the other.

Let's firstly write the frequency of the number of dogs for each house. Therefore, we can write,

  • Number of houses with 1 dog = 5
  • Number of houses with 2 dogs = 3
  • Number of houses with 3 dogs = 2
  • Number of houses with 4 dogs = 1
  • Number of houses with 5 dogs = 1

Now if we plot the dots according to our data. There should be 5 dots above 1, 3 dots above 2, 2 dots above 3, 1 dot above 4, and 1 dot above 5.

Thus, the number of dots plotted above 1 is incorrect.

Learn more about Dot Plots:

https://brainly.com/question/22746300

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