Land area of US states
Stem-Leaf <---- This is a chart
0- 2,6,8,9
1- 1,3,4,4
2- 9
3- 8
key:1/3=130,000
Find the mode, median, mean, range, lower quartile range, upper quartile range, and interquartile range for data set. please help me
2 answers
Don’t see your chart.
The key tells you what the numbers are.
1 | 3 is 130,000, which means the stem (1) holds the 100000's place and the leaf (3) holds the 10000's place.
So in your chart, the first piece of data is 0|2. Since 0 means there's nothing in the 100000's place, the number represented here is 20000. Another piece of data we see is 1|4, which means 140000. Note that this piece of data occurs twice in your chart. It's the only recurring one so it is the mode.
Count the leaves to see how many pieces of data you have...10. Since this is an even number, the median will be the average of the two middle pieces of data. Count leaves across rows from the top until you get to these middle leaves: the fifth and sixth leaves, 1 and 3. These are on the same row so we can average them directly to get 2. So the median is 1|2, or 120000.
Mean: [(sum of the stems × 100000) + (sum of the leaves × 10000)] / 10
Range: largest piece of data - smallest piece of data.
Lower quartile: middle of the first five pieces of data, so find that number in the chart.
Upper quartile: middle of the second five pieces of data.
Interquartile range: upper quartile - lower quartile.
1 | 3 is 130,000, which means the stem (1) holds the 100000's place and the leaf (3) holds the 10000's place.
So in your chart, the first piece of data is 0|2. Since 0 means there's nothing in the 100000's place, the number represented here is 20000. Another piece of data we see is 1|4, which means 140000. Note that this piece of data occurs twice in your chart. It's the only recurring one so it is the mode.
Count the leaves to see how many pieces of data you have...10. Since this is an even number, the median will be the average of the two middle pieces of data. Count leaves across rows from the top until you get to these middle leaves: the fifth and sixth leaves, 1 and 3. These are on the same row so we can average them directly to get 2. So the median is 1|2, or 120000.
Mean: [(sum of the stems × 100000) + (sum of the leaves × 10000)] / 10
Range: largest piece of data - smallest piece of data.
Lower quartile: middle of the first five pieces of data, so find that number in the chart.
Upper quartile: middle of the second five pieces of data.
Interquartile range: upper quartile - lower quartile.
2 answers