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Create and Interpret Stem & Leaf Plots>
Create and Interpret Stem & Leaf Plots 4Create and Interpret Stem & Leaf Plots 4
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Question 1 of 7
1. Question
This stem & leaf plot shows the marks of 2727 students in a science quiz. Find the median.
Stem Leaf 1 3 2 1 2 3 6 3 1 2 4 5 9 4 1 1 2 4 5 5 6 6 8 5 2 4 6 7 1 2 8 2 9 1 5 9 - Median =Median = (44)
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The median is the middle score in a data set.A stem and leaf plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).First, arrange the values on the Leaf column in ascending order.Stem Leaf 1 3 2 1 2 3 6 3 1 2 4 5 9 4 1 1 2 4 5 5 6 6 8 5 2 4 6 7 1 2 8 2 9 1 5 9 Since the total number of scores is 2727, the middle score should be the 1414th score.272=13.5272=13.5 and always round up which equals the 1414th scoreSimply count the numbers under the Leaf column until you reach the 1414th score.Stem Leaf 1 3 2 1 2 3 6 3 1 2 4 5 9 4 1 1 2 4 5 5 6 6 8 5 2 4 6 7 1 2 8 2 9 1 5 9 The 1414th number is along Stem 4, specifically Leaf 4.Hence, the median is 4444, which is the two numbers combined.Median=44Median=44 -
Question 2 of 7
2. Question
This stem & leaf plot shows the marks of 2929 students in a science quiz. Find the median.
Stem Leaf 2 3 5 6 3 3 5 6 8 9 4 2 2 4 6 7 7 7 8 8 9 5 2 4 6 8 8 6 5 8 9 7 4 5 8 7 - Median =Median = (47)
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The median is the middle score in a data set.A stem and leaf plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).First, arrange the values on the Leaf column in ascending order.Stem Leaf 2 3 5 6 3 3 5 6 8 9 4 2 2 4 6 7 7 7 8 8 9 5 2 4 6 8 8 6 5 8 9 7 4 5 8 7 Since the total number of scores is 2929, the middle score should be the 1515th score.292=14.5292=14.5 and always round up which equals the 1515th scoreSimply count the numbers under the Leaf column until you reach the 1515th score.Stem Leaf 2 3 5 6 3 3 5 6 8 9 4 2 2 4 6 7 7 7 8 8 9 5 2 4 6 8 8 6 5 8 9 7 4 5 8 7 The 1515th number is along Stem 4, specifically Leaf 7.Hence, the median is 4747, which is the two numbers combined.Median=47Median=47 -
Question 3 of 7
3. Question
This stem & leaf plot shows the marks of 2727 students in a science quiz. Find the mean.
Round your answer to two decimal placesStem Leaf 3 9 4 9 5 1 2 3 4 4 6 7 9 6 1 1 5 6 7 1 4 6 6 8 2 5 8 9 2 2 2 3 4 5 - Mean =Mean = (69.89)
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Mean Formula
Mean=∑xNMean=∑xNA stem and leaf plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).First, solve for the sum of the given values.∑x∑x == 35+49+51+52+53+54+54+56+35+49+51+52+53+54+54+56+ 57+59+61+61+65+66+71+74+57+59+61+61+65+66+71+74+ 76+76+82+85+88+92+92+76+76+82+85+88+92+92+ 92+93+94+9592+93+94+95 == 1,8871,887 Next, divide the sum of all values ∑x∑x by the number of values (N)(N).MeanMean == ∑xN∑xN Finding the mean == 188727188727 There are 2727 given values == 69.8969.89 Rounded to two decimal places Mean=69.89Mean=69.89 -
Question 4 of 7
4. Question
This stem & leaf plot shows the marks of 2727 students in a science quiz. Find the mean.
Round your answer to two decimal placesStem Leaf 1 1 1 2 2 8 2 1 2 2 4 4 5 6 7 3 2 5 6 6 7 8 9 4 2 5 5 5 6 5 3 6 7 3 - Mean =Mean = (31.74)
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Mean Formula
Mean=∑xNMean=∑xNA stem and leaf plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).First, solve for the sum of the given values.∑x∑x == 11+11+12+12+18+21+22+22+11+11+12+12+18+21+22+22+ 24+24+25+26+27+32+35+36+24+24+25+26+27+32+35+36+ 36+37+38+39+42+45+4536+37+38+39+42+45+45 +45+46+53+73+45+46+53+73 == 857857 Next, divide the sum of all values ∑x∑x by the number of values (N)(N).MeanMean == ∑xN∑xN Finding the mean == 8572785727 There are 2727 given values == 31.7431.74 Rounded to two decimal places Mean=31.74Mean=31.74 -
Question 5 of 7
5. Question
Find the interquartile range of the stem and leaf plot below.
Stem Leaf 1 1 1 2 2 8 2 1 2 2 4 4 5 6 7 3 2 5 6 6 7 8 9 4 2 5 5 5 6 5 3 6 7 3 - IQR =IQR = (20)
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Interquartile Range
IQR =QUpper-QLowerIQR =QUpper−QLowerA stem and leaf plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).First, since the total number of scores is 2727, the middle score should be the 1414th score.272=13.5272=13.5 and always round up which equals the 1414th scoreSimply count the numbers under the Leaf column until you reach the 14th14th score.Stem Leaf 1 1 1 2 2 8 2 1 2 2 4 4 5 6 7 3 2 5 6 6 7 8 9 4 2 5 5 5 6 5 3 6 7 3 The 1414th number is along Stem 3, specifically Leaf 2.Hence, the median is 32, which is the two numbers combined.The median divides the data set into two quartiles, each with 1313 values.Find the median of both quartiles to get the lower and upper quartilesLower Half Stem Leaf 1 1 1 2 2 8 2 1 2 2 4 4 5 6 7 Greater Half Stem Leaf 3 5 6 6 7 8 9 4 2 5 5 5 6 5 3 6 7 3 Finally, use the formula to get the interquartile range.IQRIQR == QUpper-QLowerQUpper−QLower Interquartile Range formula == 42-2242−22 Substitute values == 2020 Evaluate IQR=20IQR=20 -
Question 6 of 7
6. Question
Find the interquartile range of the stem and leaf plot below.
Stem Leaf 2 3 5 6 3 3 5 6 8 9 4 2 2 4 6 7 7 7 8 8 9 5 2 4 6 8 8 6 5 8 9 7 4 5 8 7 - IQR =IQR = (19.5)
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Interquartile Range
IQR =QUpper-QLowerIQR =QUpper−QLowerA stem and leaf plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).First, since the total number of scores is 2929, the middle score should be the 1515th score.292=14.5292=14.5 and always round up which equals the 1515th scoreSimply count the numbers under the Leaf column until you reach the 15th15th score.Stem Leaf 2 3 5 6 3 3 5 6 8 9 4 2 2 4 6 7 7 7 8 8 9 5 2 4 6 8 8 6 5 8 9 7 4 5 8 7 The 1515th number is along Stem 4, specifically Leaf 7.Hence, the median is 47, which is the two numbers combined.The median divides the data set into two quartiles, each with 1414 values.Find the median of both quartiles to get the lower and upper quartilesLower Half Stem Leaf 2 3 5 6 3 3 5 6 8 9 4 2 2 5 6 7 7 Greater Half Stem Leaf 4 8 8 9 5 2 4 6 8 8 6 5 8 9 7 4 5 8 7 Lower QuartileLower Quartile == 38+39238+392 == 38.538.5 Upper QuartileUpper Quartile == 58+58258+582 == 5858 Finally, use the formula to get the interquartile range.IQRIQR == QUpper-QLowerQUpper−QLower Interquartile Range formula == 58-38.558−38.5 Substitute values == 19.519.5 Evaluate IQR=19.5IQR=19.5 -
Question 7 of 7
7. Question
Find the interquartile range of the stem and leaf plot below.Stem Leaf 44 3 83 8 55 0 2 5 5 60 2 5 5 6 6 1 3 3 6 7 7 8 9 7 0 2 4 8 8 1 3 - IQR = (16)
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Interquartile Range
IQR =QUpper-QLowerA stem and leaf plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).First, since the total number of scores is 21, the middle score should be the 11th score.212=10.5 and always round up which equals the 11th scoreSimply count the numbers under the Leaf column until you reach the 11th score.Stem Leaf 4 3 8 5 0 2 5 5 6 6 1 3 3 6 7 7 8 9 7 0 2 4 8 8 1 3 The 11th number is along Stem 6, specifically Leaf 6.Hence, the median is 66, which is the two numbers combined.The median divides the data set into two quartiles, each with 10 values.Find the median of both quartiles to get the lower and upper quartilesLower Half Stem Leaf 4 3 8 5 0 2 5 5 6 6 1 3 3 7 8 Greater Half Stem Leaf 4 5 6 7 7 8 9 7 0 2 4 8 8 1 3 Lower Quartile = 55+552 = 55 Upper Quartile = 70+722 = 71 Finally, use the formula to get the interquartile range.IQR = QUpper-QLower Interquartile Range formula = 71-55 Substitute values = 16 Evaluate IQR=16
Quizzes
- Find Mean, Mode, Median and Range 1
- Find Mean, Mode, Median and Range 2
- Find Mean, Mode, Median and Range 3
- Create Frequency Tables & Graphs
- Interpret Frequency Tables 1
- Interpret Frequency Tables 2
- Create and Interpret Bar & Line Graphs (Histograms)
- Interpret Cumulative Frequency Tables and Charts 1
- Interpret Cumulative Frequency Tables and Charts 2
- Create Grouped Frequency Tables and Graphs
- Interpret Grouped Frequency Tables
- Create and Interpret Dot Plots (Line Plots) 1
- Create and Interpret Dot Plots (Line Plots) 2
- Finding the Interquartile Range 1
- Finding the Interquartile Range 2
- Create and Interpret Box & Whisker Plots 1
- Create and Interpret Box & Whisker Plots 2
- Create and Interpret Box & Whisker Plots 3
- Create and Interpret Box & Whisker Plots 4
- Create and Interpret Stem & Leaf Plots 1
- Create and Interpret Stem & Leaf Plots 2
- Create and Interpret Stem & Leaf Plots 3
- Create and Interpret Stem & Leaf Plots 4