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Step 3: Displaying numerical data in dot plots, and describing and analyzing the data A survey was conducted to determine how many movies were seen in one month among the 26 students in Mrs. Hampton's sixth-grade class. The results are shown in the dot plot below. X 0 a) 1 2 Mrs. Hampton's Sixth-Grade Class 3 X X X 4 X X X X X X X X 5 X X X 6 X 7 X X X X X 8 X X 9 X X X 10 Calculate the measures of center for the data in the dot plot, rounding your answers to the nearest tenths place. Show how you determined your answer.​

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Final answer:

To calculate the measures of center (mean, median, and mode) for the data in a dot plot, one must sum all values, divide by the total number for the mean, locate the middle value for the median, and identify the most frequent value for the mode. Exact calculations require the specific values from the dot plot.

Step-by-step explanation:

The objective is to calculate the measures of center for the data in a dot plot which includes finding the mean, median, and mode, and provide a step-by-step explanation of the process. Let's denote the number of movies watched by each student as x.

  • To calculate the mean, add all the values of x and divide by the total number of students.
  • The median is the middle value when the data is arranged in ascending order. Since there are 26 students, the median will be the average of the 13th and 14th values.
  • The mode is the value of x that appears most frequently.

Unfortunately, without the exact numbers from the dot plot, we cannot provide the exact calculations. The student needs to assign numerical values to the dots on the plot, count the total number of dots (which represents the number of movies watched), and then use these numbers to calculate the mean, median, and mode.

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