A stem-and-leaf plot is constructed by breaking each number from the data into a stem and a leaf. The stem of the number is all but the last digit and the leaf is always the last digit. For example, the first row in the plot corresponds to the following numbers.
Let's write down all the numbers from the plot into a table.
Tallest Buildings in Dallas, Texas
27
29
29
30
31
31
31
33
33
34
34
36
36
37
40
42
42
45
49
50
50
50
50
52
55
56
58
60
72
Now we will find the measures of center. First, we will find the mean.
Mean
To find the mean, we first need to sum all the values from the table.
27+29+…+60+72=1222
Now we will divide the sum by the number of values in the table, which is 29.
Mean=291222≈42.1
Next, let's find the median.
Median
The median lies in the middle of the data set. Let's try to find it! We will try to split the data set into two halves.
Notice that the value 40 splits the data set in half. Therefore, the median is equal to 40. Finally, we will find the mode.
Mode
The mode is the value which occurs most often in the data set. We can find it using the table or the stem-and-leaf plot.
From the plot, we can see that the value 50 occurs four times in the data set. No other values occurs more often. Therefore, the mode is equal to 50. We found all the measures of center! Let's summarize our results.
Mathleaks uses cookies for an enhanced user experience. By using our website, you agree to the usage of cookies as described in our policy for cookies.
