Question
Globate the range for the following 2 sets of data, then draw a dot plot foreach set What do you notice? Set 1: The list of the number of books History students read for reseach purposes is shown below: 6,11,5,1,6,6,7,5,7,6 Set 2: The list of the books that Sociology students read for research Auposes is shown below: 10,3,9,2,2,11,2,1,9,11.
Solution
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BenjaminVeteran · Tutor for 10 years
Answer
### Set 1: Mean = 5.4, Range = 1 to 11<br />### Set 2: Mean = 6, Range = 1 to 11<br />### Observation: Set 2's data is more spread out than Set 1's data.
Explain
## Step 1: Calculate the Mean for Set 1<br />### To find the mean, sum all the values and divide by the number of values. The sum of the values in Set 1 (6, 11, 5, 1, 6, 6, 7, 5, 7, 6) is 54. There are 10 values. Therefore, the mean is $\frac{54}{10} = 5.4$.<br /><br />## Step 2: Calculate the Mean for Set 2<br />### To find the mean, sum all the values and divide by the number of values. The sum of the values in Set 2 (10, 3, 9, 2, 2, 11, 2, 1, 9, 11) is 60. There are 10 values. Therefore, the mean is $\frac{60}{10} = 6$.<br /><br />## Step 3: Create the Dot Plot for Set 1<br />### A dot plot represents each value as a dot above a number line. For Set 1, place dots above the corresponding numbers on the number line to visualize the distribution. The range is from 1 to 11.<br /><br />## Step 4: Create the Dot Plot for Set 2<br />### A dot plot represents each value as a dot above a number line. For Set 2, place dots above the corresponding numbers on the number line to visualize the distribution. The range is from 1 to 11.<br /><br />## Step 5: Analyze the Dot Plots<br />### Comparing the two dot plots, we observe that Set 1's data points are more clustered around the mean (5.4), while Set 2's data points are more spread out with two clusters at the extremes (around 2 and 11). This indicates a larger spread or variability in the data for Set 2 compared to Set 1.
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