QuestionFind the mean, median, and mode(s) from this stem-and-leaf plot:
0 | 6
1 | 45
2 | 2338
3 | 4
Mean:
Median:
Mode(s):
Studdy Solution
STEP 1
Assumptions1. The stem-and-leaf plot represents the following data6,14,15,22,23,23,28,34.
. The mean is the sum of all data points divided by the number of data points.
3. The median is the middle value when the data points are arranged in ascending order. If there is an even number of data points, the median is the average of the two middle values.
4. The mode is the number that appears most frequently in the data set.
STEP 2
First, we need to find the mean of the data set. We can do this by adding up all the data points and dividing by the number of data points.
STEP 3
Now, plug in the given values for the data points and the number of data points to calculate the mean.
STEP 4
Calculate the mean.
STEP 5
Round the mean to one decimal place.
Part1 of3Mean20.Next, we need to find the median of the data set. Since there are8 data points, an even number, the median is the average of the4th and5th data points when arranged in ascending order.
7Plug in the values for the4th and5th data points to calculate the median.
8Calculate the median.
Part2 of3Median22.59Finally, we need to find the mode of the data set. The mode is the number that appears most frequently in the data set. In this case, the number23 appears twice, more than any other number.
Therefore, the mode is23.
Part3 of3Mode23
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