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Interpret Cumulative Frequency Tables and Charts>
Interpret Cumulative Frequency Tables and Charts 2Interpret Cumulative Frequency Tables and Charts 2
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Question 1 of 8
1. Question
Find the median score.Score `(x)` Frequency `(f)` Cumulative
Frequency5 4 6 8 7 10 8 6 9 3 10 2 - `\text(Median )=` (7)
Hint
Help VideoCorrect
Nice Job!
Incorrect
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 5 4 6 8 7 10 8 6 9 3 10 2 `\text(Total)=33` To find the median, fill in the Cumulative Frequency column by adding the frequency, as seen below.Score `(x)` Frequency `(f)` Cumulative Frequency 5 4 4 6 8 4+8=12 7 10 12+10=22 8 6 22+6=28 9 3 28+3=31 10 2 31+2=33 `\text(Total)=33` To check, the last entry in the Cumulative Frequency column must be equal to the
Total Frequency.Since the total number of scores is `33`, the middle score should be the `17`th score.Find the row that includes the `17`th score.Score `(x)` Frequency `(f)` Cumulative Frequency 5 4 4 6 8 4+8=12 7 10 12+10=22 8 6 22+6=28 9 3 28+3=31 10 2 31+2=33 `\text(Total)=33` The third row covers all scores between the `12`th and `22`nd position — this includes the `17`th.Hence, the median is `7`.`\text(Median)=7` -
Question 2 of 8
2. Question
Use this cumulative frequency histogram to find the median.
Rankings of a TV show
- `\text(Median )=` (3)
Correct
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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 `25`, simply divide it by `2`.`25/2` `=` `12.5` Trace a horizontal line from `color(darkgoldenrod)(12.5)` 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`.`\text(Median)=3` -
Question 3 of 8
3. Question
Find the median score.Score `(x)` Frequency `(f)` Cumulative
Frequency7 4 4 8 2 6 9 3 9 10 2 11 - `\text(Median )=` (8)
Correct
Nice Job!
Incorrect
The median is the middle value in an ordered set of data.Since the total number of scores is `11`, the middle score should be the `6`th score.Find the row that includes the `6`th score.Game `(x)` Frequency `(f)` Cumulative Frequency 7 4 4 8 2 6 9 3 9 10 2 11 The second row covers all scores between the `5`th and `6`th position — this includes the `6`th.Hence, the median is `8`.`\text(Median)=8` -
Question 4 of 8
4. Question
Find the median score.Score `(x)` Frequency `(f)` Cumulative
Frequency12 1 1 13 2 3 16 2 5 17 4 9 22 1 10 - `\text(Median )=` (16.5)
Correct
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The median is the middle value in an ordered set of data.Since the total number of scores is `10`, the middle score should be the average of the `5`th and
`6`th scores.Find the row that includes the `5`th and `6`th scores.Game `(x)` Frequency `(f)` Cumulative Frequency 12 1 1 13 2 3 16 2 5 17 4 9 22 1 10 The third row covers all scores between the `4`th and `5`th position and the fourth row covers all scores between the `6`th and `9`th position.Get the average of the two scores to get the median.`\text(Median)` `=` `(16+17)/2` `=` `33/2` `=` `16.5` `\text(Median)=16.5` -
Question 5 of 8
5. Question
Use this cumulative frequency histogram to find the median.
Number of phones in a household
- `\text(Median )=` (4)
Correct
Keep Going!
Incorrect
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 `40`, simply divide it by `2`.`40/2` `=` `20` Trace a horizontal line from `color(darkgoldenrod)(20)` 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`.`\text(Median)=4` -
Question 6 of 8
6. Question
Find the median score.Age at First Job Age `(x)` Frequency `(f)` 12 1 13 3 14 2 15 2 16 2 17 5 18 1 - `\text(Median )=` (15.5)
Correct
Excellent!
Incorrect
The median is the middle value in an ordered set of data.First, get the sum of the Frequency column.Age `(x)` Frequency `(f)` 12 1 13 3 14 2 15 2 16 2 17 5 18 1 `\text(Total)=16` 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.Age `(x)` Frequency `(f)` Cumulative Frequency 12 1 1 13 3 1+3=4 14 2 4+2=6 15 2 6+2=8 16 2 8+2=10 17 5 10+5=15 18 1 15+1=16 `\text(Total)=16` To check, the last entry in the Cumulative Frequency column must be equal to the
Total Frequency.Since the total number of scores is `16`, the middle score should be the average of the `8`th and
`9`th scores.Find the row that includes the `8`th and `9`th scores.Age `(x)` Frequency `(f)` Cumulative Frequency 12 1 1 13 3 1+3=4 14 2 4+2=6 15 2 6+2=8 16 2 8+2=10 17 5 10+5=15 18 1 15+1=16 `\text(Total)=16` The fourth row covers all scores between the `7`th and `8`th position and the fifth row covers all scores between the `9`th and `10`th position.Get the average of the two scores to get the median.`\text(Median)` `=` `(15+16)/2` `=` `31/2` `=` `15.5` `\text(Median)=15.5` -
Question 7 of 8
7. Question
Find the median score.Score `(x)` Frequency `(f)` Cumulative
Frequency1 1 2 3 3 6 4 7 5 2 6 1 - `\text(Median )=` (3.5)
Hint
Help VideoCorrect
Correct!
Incorrect
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 1 1 2 3 3 6 4 7 5 2 6 1 `\text(Total)=20` To find the median, fill in the Cumulative Frequency column by adding the frequency, as seen below.Score `(x)` Frequency `(f)` Cumulative Frequency 1 1 1 2 3 1+3=4 3 6 4+6=10 4 7 10+7=17 5 2 17+2=19 6 1 19+1=20 `\text(Total)=20` To check, the last entry in the Cumulative Frequency column must be equal to the
Total Frequency.Since the total number of scores is `20`, the middle score should be the average of the `10`th and `11`th score.Find the row that includes the `10`th and `11`th score.Score `(x)` Frequency `(f)` Cumulative Frequency 1 1 1 2 3 1+3=4 3 6 4+6=10 4 7 10+7=17 5 2 17+2=19 6 1 19+1=20 `\text(Total)=20` The third row covers all scores between the `5`th and `10`th position, which includes the `10`th, and the fourth row covers all scores between the `11`th and `17`th position, which includes the `11`th.Get the average of the two scores to get the median.`\text(Median)` `=` `(3+4)/2` `=` `7/2` `=` `3.5` `\text(Median)=3.5` -
Question 8 of 8
8. Question
Use this cumulative frequency histogram to find the median.
Attendance at soccer matches
- `\text(Median )=` (102)
Correct
Keep Going!
Incorrect
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 `35`, simply divide it by `2`.`35/2` `=` `17.5` Trace a horizontal line from `color(darkgoldenrod)(17.5)` until it touches part of the polygon.
Notice that it touches the polygon across the bar for the score `102`.Hence, the median is `102`.`\text(Median)=102`
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