Construct a stem and leaf plot with the following data landmarks there should be at least 12 data entries in your plot median: 57 minimum: 42 maximum: 78 mode: 60
percent of increase of 20penciland now 25 pencil
To construct a stem and leaf plot for the given data, follow these steps:
Step 1: Identify the stem and leaf values:
- The "stem" values will be the tens digit of each data entry.
- The "leaf" values will be the ones digit of each data entry.
Step 2: Sort the data in ascending order:
The given data: 42, 44, 51, 54, 57, 57, 57, 58, 58, 60, 78, 78
Step 3: Determine the stem values:
The stem values will be all the unique tens digits from the data:
Stem values: 4, 5, 7
Step 4: Determine the leaf values:
Write down the ones digit of each data entry corresponding to their respective stem value.
Stem value 4: 2, 4
Stem value 5: 1, 4, 7, 8, 8
Stem value 7: 8, 8
Step 5: Construct the stem and leaf plot:
Put the stem values in ascending order on the left side of the plot. Write down the corresponding leaf values for each stem value.
4 | 2 4
5 | 1 4 7 8 8
7 | 8 8
Now we have a stem and leaf plot representing the given data with the requested data landmarks.
Median: The median is the middle value in the sorted data set. In this case, the median is 57 since it falls in the middle when the data is arranged in ascending order.
Minimum: The minimum value is the smallest value in the data set. In this case, the minimum value is 42.
Maximum: The maximum value is the largest value in the data set. In this case, the maximum value is 78.
Mode: The mode is the value(s) that occur the most frequently in the data set. In this case, the mode is 60, as it occurs three times, which is more than any other value.