Final answer:
The mean of the data is 22.5, the median is 22, and the modes are 11, 12, and 25.
Step-by-step explanation:
To find the mean, median, and modes of the data in the given stem-and-leaf plot, we need to interpret the plot. The stem represents the tens digit and the leaf represents the ones digit. From the plot, we can see that the data includes the values 11, 12, 15, 18, 22, 22, 25, 26, 29, and 35.
The mean is the average of all the values. To calculate it, we add up all the values and divide by the total number of values. In this case, the sum of the values is 225 and there are 10 values, so the mean is 22.5.
The median is the middle value when the data is arranged in ascending order. In this case, when we arrange the values in ascending order, we get 11, 12, 15, 18, 22, 22, 25, 26, 29, 35. The middle value is 22, so the median is 22.
The mode is the value(s) that occur(s) most frequently. In this case, both 11 and 12 occur twice, and 25 occurs twice as well. Therefore, the modes are 11, 12, and 25.
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