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Interpret Cumulative Frequency Tables and Charts 1Interpret Cumulative Frequency Tables and Charts 1
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Question 1 of 8
1. Question
Find the median score.Score (x) Frequency (f) Cumulative
Frequency0 6 1 10 2 6 3 4 4 3 5 0 6 1 Total=30 - Median = (1)
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The median is the middle value in an ordered set of data.To find the median, fill in the Cumulative Frequency column by adding the frequency, as seen below.Score (x) Frequency (f) Cumulative Frequency 0 6 6 1 10 6+10=16 2 6 16+6=22 3 4 22+4=26 4 3 26+3=29 5 0 29+0=29 6 1 29+1=30 Total=30 To check, the last entry in the Cumulative Frequency column must be equal to the
Total Frequency.Since the total number of scores is 30, the middle score should be the average of the 15th and 16th score.Find the row that includes the 15th and 16th scores.Score (x) Frequency (f) Cumulative Frequency 0 6 6 1 10 6+10=16 2 6 10+6=16 3 4 6+4=10 4 3 4+3=7 5 0 3+0=3 6 1 0+1=1 Total=30 The second row covers all scores between the 6th and 16th position — this includes the 15th and 16th.Hence, the median is 1.Median=1 -
Question 2 of 8
2. Question
Find the median score.Score (x) Frequency (f) Cumulative
Frequency2 2 3 5 4 10 5 12 6 8 7 5 - Median = (5)
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The median is the middle value in an ordered set of data.First, get the sum of the Frequency column.Score (x) Frequency (f) Cumulative Frequency 2 2 3 5 4 10 5 12 6 8 7 5 Total=42 To find the median, fill in the Cumulative Frequency column by adding the frequency, as seen below.Score (x) Frequency (f) Cumulative Frequency 2 2 2 3 5 2+5=7 4 10 7+10=17 5 12 17+12=29 6 8 29+8=37 7 5 37+5=42 Total=42 To check, the last entry in the Cumulative Frequency column must be equal to the
Total Frequency.Since the total number of scores is 42, the middle score should be the average of the 21st and 22nd score.Find the row that includes the 21st and 22nd score.Score (x) Frequency (f) Cumulative Frequency 2 2 2 3 5 2+5=7 4 10 7+10=17 5 12 17+12=29 6 8 29+8=37 7 5 37+5=42 Total=42 The fourth row covers all scores between the 17th and 29th position — this includes the 21st and 22nd.Get the average of the two scores to get the median.Median = 5+52 = 102 = 5 Median=5 -
Question 3 of 8
3. Question
Use this cumulative frequency histogram to find the median.
Hours spent studying for an exam
- Median = (3)
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The median is the middle value in an ordered set of data.Find the middle value in the cumulative frequency axis (left side).Since the highest value is 20, simply divide it by 2.202 = 10 Trace a horizontal line from 10 until it touches part of the polygon.Notice that it touches the polygon across the bar for the score 3.Hence, the median is 3.Median=3 -
Question 4 of 8
4. Question
Find the median score.Games per World Series Games (x) Frequency (f) 4 2 5 2 6 3 7 4 - Median = (6)
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The median is the middle value in an ordered set of data.First, get the sum of the Frequency column.Games (x) Frequency (f) 4 2 5 2 6 3 7 4 Total=11 Next, add a Cumulative Frequency column to the table.To find the median, fill in the Cumulative Frequency column by adding the frequency, as seen below.Game (x) Frequency (f) Cumulative Frequency 4 2 2 5 2 2+2=4 6 3 4+3=7 7 4 7+4=11 Total=11 To check, the last entry in the Cumulative Frequency column must be equal to the
Total Frequency.Since the total number of scores is 11, the middle score should be the 6th score.Find the row that includes the 6th score.Game (x) Frequency (f) Cumulative Frequency 4 2 2 5 2 2+2=4 6 3 4+3=7 7 4 7+4=11 Total=11 The third row covers all scores between the 5th and 7th position — this includes the 6th.Hence, the median is 6.Median=6 -
Question 5 of 8
5. Question
Find the median score.Academy Awards Won by Movie No. of Awards (x) Frequency (f) 2 1 3 3 4 4 5 3 7 1 8 2 9 1 - Median = (4)
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The median is the middle value in an ordered set of data.First, get the sum of the Frequency column.No. of Awards (x) Frequency (f) 2 1 3 3 4 4 5 3 7 1 8 2 9 1 Total=15 Next, add a Cumulative Frequency column to the table.To find the median, fill in the Cumulative Frequency column by adding the frequency, as seen below.No. of Awards (x) Frequency (f) Cumulative Frequency 2 1 1 3 3 1+3=4 4 4 4+4=8 5 3 8+3=11 7 1 11+1=12 8 2 12+2=14 9 1 14+1=15 Total=15 To check, the last entry in the Cumulative Frequency column must be equal to the
Total Frequency.Since the total number of scores is 15, the middle score should be the 8th score.Find the row that includes the 8th score.No. of Awards (x) Frequency (f) Cumulative Frequency 2 1 1 3 3 1+3=4 4 4 4+4=8 5 3 8+3=11 7 1 11+1=12 8 2 12+2=14 9 1 14+1=15 Total=15 The third row covers all scores between the 5th and 8th position — this includes the 8th.Hence, the median is 4.Median=4 -
Question 6 of 8
6. Question
Use this cumulative frequency histogram to find the median.
Hours spent driving per week
- Median = (4)
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The median is the middle value in an ordered set of data.Find the middle value in the cumulative frequency axis (left side).Since the highest value is 30, simply divide it by 2.302 = 15 Trace a horizontal line from 15 until it touches part of the polygon.Notice that it touches the polygon across the bar for the score 4.Hence, the median is 4.Median=4 -
Question 7 of 8
7. Question
Use this cumulative frequency histogram to find the median.- Median = (15)
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The median is the middle value in an ordered set of data.Create a cumulative frequency polygon by connecting the top-right corners of each bar using straight lines, as shown here.Find the middle value in the cumulative frequency axis (left side).Since the highest value is 60, simply divide it by 2.602 = 30 Trace a horizontal line from 30 until it touches part of the polygon.Notice that it touches the polygon across the bar for the score 15.Hence, the median is 15.Median=15 -
Question 8 of 8
8. Question
Complete the following cumulative frequency table and draw a polygon and histogram. Then, find the median.Score (x) Frequency (f) Cumulative
Frequency2 3 3 2 4 5 5 6 6 9 7 12 8 3 Total=40 - Median = (6)
Hint
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Chapters- Chapters
The median is the middle value in an ordered set of data.First, fill in the Cumulative Frequency column by adding the frequency, as seen below.Score (x) Frequency (f) Cumulative Frequency 2 3 3 3 2 3+2=5 4 5 5+5=10 5 6 10+6=16 6 9 16+9=25 7 12 25+12=37 8 3 37+3=40 Total=40 To check, the last entry in the Cumulative Frequency column must be equal to the
Total Frequency.Next, create a graph with the Score (x) values on the bottom side and the Cumulative Frequency values on the left side.Next, add bars to the graph corresponding to the cumulative frequency per score.Score (x) Frequency (f) Cumulative Frequency 2 3 3 3 2 3+2=5 4 5 5+5=10 5 6 10+6=16 6 9 16+9=25 7 12 25+12=37 8 3 37+3=40 Total=40 Continue adding bars until all the scores are accounted for.Next, create a cumulative frequency polygon by connecting the top-right corners of each bar using straight lines, as shown here.Find the middle value in the cumulative frequency axis (left side).Since the highest value is 40, simply divide it by 2.402 = 20 Trace a horizontal line from 20 until it touches part of the polygon.Notice that it touches the polygon across the bar for the score 6.Hence, the median is 6.Median=6
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