Video Transcript
Consider the given stem-and-leaf plot. What is the minimum value of the data? What is the maximum value of the data?
In the stem-and-leaf plot, we’re given stems of three, four, five, seven, eight, and nine. Whilst it is unusual for these numbers not to be consecutive, we notice that six is missing in this stem-and-leaf plot. Whilst the stems need to be in ascending order, they do not need to be consecutive integers. We can see from the key that the stem represents the tens and the leaf represents the ones. This means that in the top row, we have the numbers 32, 33, and 34. In the second row, we have the numbers 44 and 46. The third row contains the number 50 and so on.
The first part of this question asks us to find the minimum value. This will correspond to the first leaf in the first stem. The minimum value of the data is therefore 32. The second part of the question asks us to find the maximum value. This will correspond to the last leaf in the bottom stem. The only leaf in the stem nine is three. This means that the maximum value of the data is 93.
Whilst we are not asked to in this question, we could use these values to calculate the range of the data. This would be the maximum value minus the minimum value. The range is equal to 93 minus 32. This equals 61. We can also use stem-and-leaf plots to identify the lower and upper quartiles as well as the median and interquartile range. In this question, though, we were only asked for the minimum value which is 32 and the maximum value which is 93.
