Years
>
Year 12>
Statistics and Data>
Create Grouped Frequency Tables and Graphs>
Create Grouped Frequency Tables and GraphsCreate Grouped Frequency Tables and Graphs
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 8 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- Answered
- Review
-
Question 1 of 8
1. Question
Shown are the ages of 4848 people who belong to a tennis club. Organise the data into a grouped frequency distribution table. Use the class intervals displayed in the table.1818 1313 1616 2020 3737 4040 3939 4242 1212 1515 2727 2020 1616 1818 3333 4040 2929 3434 4141 2727 1919 1212 4444 1313 3838 4343 2222 1717 3535 3030 1919 2626 2525 4343 3333 1818 2323 3535 4141 3232 2828 1111 2828 2121 3535 1919 4141 2828 Enter the frequency for each respective score in the table below-
Class Frequency (f)(f) 10-15 (6) 16-20 (11) 21-25 (4) 26-30 (8) 31-35 (7) 36-40 (5) 41-45 (7) Total =Total =
Hint
Help VideoCorrect
Well Done!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
A grouped frequency distribution table is used for larger data sets and uses classes with intervals to group the scores.Read across the data while placing a stroke in the Tally column for each corresponding score.1818 1313 1616 2020 3737 4040 3939 4242 1212 1515 2727 2020 1616 1818 3333 4040 2929 3434 4141 2727 1919 1212 4444 1313 3838 4343 2222 1717 3535 3030 1919 2626 2525 4343 3333 1818 2323 3535 4141 3232 2828 1111 2828 2121 3535 1919 4141 2828 Class Tally Frequency (f)(f) 10-15 16-20 21-25 26-30 31-35 36-40 41-45 Total =Total = Continue doing this until all scores are tallied.Class Tally Frequency (f)(f) 10-15 16-20 21-25 26-30 31-35 36-40 41-45 Count the tallies per score and note it under the Frequency column.Class Tally Frequency (f)(f) 10-15 6 16-20 11 21-25 4 26-30 8 31-35 7 36-40 5 41-45 7 Total =Total = To check, count the total frequency and make sure it is equal to the number of given scores.Class Tally Frequency (f)(f) 10-15 6 16-20 11 21-25 4 26-30 8 31-35 7 36-40 5 41-45 7 Total =48Total =48 From the given data, we know that N=48N=48Therefore, all scores have been accounted for.Class Tally Frequency (f)(f) 10-15 6 16-20 11 21-25 4 26-30 8 31-35 7 36-40 5 41-45 7 Total =48Total =48 -
-
Question 2 of 8
2. Question
The scores of 3636 students in a history quiz out of 50 are given. Organise the data into a grouped frequency distribution table and find the modal class.4343 3535 2727 3434 3636 4444 2929 3535 4343 5050 3535 2222 2121 2929 4242 3232 2020 3232 3131 4141 3737 3030 3939 3838 4040 3939 2323 4141 3333 3737 3636 3535 2929 5050 3030 4242 Use class intervals of 55, starting from 16-2016−20- Modal Class =Modal Class = (31)-− (35)
Hint
Help VideoCorrect
Excellent!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
A grouped frequency distribution table is used for larger data sets and uses classes with intervals to group the scores.A modal class is the group of scores with the highest frequency.Read across the data while placing a stroke in the Tally column for each corresponding score.4343 3535 2727 3434 3636 4444 2929 3535 4343 5050 3535 2222 2121 2929 4242 3232 2020 3232 3131 4141 3737 3030 3939 3838 4040 3939 2323 4141 3333 3737 3636 3535 2929 5050 3030 4242 Class Tally Frequency (f)(f) 16-20 21-25 26-30 31-35 36-40 41-45 46-50 Continue doing this until all scores are tallied.Class Tally Frequency (f)(f) 16-20 21-25 26-30 31-35 36-40 41-45 46-50 Count the tallies per score and note it under the Frequency column.Class Tally Frequency (f)(f) 16-20 1 21-25 3 26-30 6 31-35 9 36-40 8 41-45 7 46-50 2 To check, count the total frequency and make sure it is equal to the number of given scores.Class Tally Frequency (f)(f) 16-20 1 21-25 3 26-30 6 31-35 9 36-40 8 41-45 7 46-50 2 Total =36Total =36 From the given data, we know that N=36N=36Therefore, all scores have been accounted for.Notice that the highest value in the Frequency column is 99 and it corresponds to 31-3531−35.Class Tally Frequency (f)(f) 16-20 1 21-25 3 26-30 6 31-35 9 36-40 8 41-45 7 46-50 2 Total =36Total =36 In other words, the class 31-3531−35 occurs the most frequently, and is therefore the modal class.Modal Class=31-35Modal Class=31−35 -
Question 3 of 8
3. Question
The mass of 3232 students was measured and the results are shown. Organise the data into a grouped frequency distribution table and find the modal class.7171 5252 6666 6464 8282 7878 6161 7272 7373 6868 7070 6262 7777 5656 6565 6868 6161 7474 5757 7171 7171 5858 6363 6060 6868 7070 6868 6969 6868 6565 6868 6262 Use class intervals of 55, starting from 51-5551−55- Modal Class =Modal Class = (66)-− (70)
Hint
Help VideoCorrect
Keep Going!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
A grouped frequency distribution table is used for larger data sets and uses classes with intervals to group the scores.A modal class is the group of scores with the highest frequency.Read across the data while placing a stroke in the Tally column for each corresponding score.7171 5252 6666 6464 8282 7878 6161 7272 7373 6868 7070 6262 7777 56 65 68 61 74 57 71 71 58 63 60 68 70 68 69 68 65 68 62 Class Tally Frequency (f) 51-55 56-60 61-65 66-70 71-75 76-80 81-85 Continue doing this until all scores are tallied.Class Tally Frequency (f) 51-55 56-60 61-65 66-70 71-75 76-80 81-85 Count the tallies per score and note it under the Frequency column.Class Tally Frequency (f) 51-55 1 56-60 4 61-65 8 66-70 10 71-75 6 76-80 2 81-85 1 To check, count the total frequency and make sure it is equal to the number of given scores.Class Tally Frequency (f) 51-55 1 56-60 4 61-65 8 66-70 10 71-75 6 76-80 2 81-85 1 Total =32 From the given data, we know that N=32Therefore, all scores have been accounted for.Notice that the highest value in the Frequency column is 10 and it corresponds to 66-70.Class Tally Frequency (f) 51-55 1 56-60 4 61-65 8 66-70 10 71-75 6 76-80 2 81-85 1 Total =32 In other words, the class 66-70 occurs the most frequently, and is therefore the modal class.Modal Class=66-70 -
Question 4 of 8
4. Question
A bus depot conducted a survey on how many passengers were on each bus through an 8 hour period. Complete the frequency distribution table.Enter the value for each respective column in the table below-
Class Class Centre (c.c.) Frequency (f) f⋅c.c. 0-4 (2) 5 (10) 5-9 (7) 9 (63) 10-14 (12) 13 (156) 15-19 (17) 10 (170) 20-24 (22) 7 (154) 25-29 (27) 2 (54)
Hint
Help VideoCorrect
Great Work!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
To get a class centre, find the mean of the endpoints of a class.First, fill in the class centre (c.c.) column by finding the mean of the endpoints of each class.Mean (0-4) = 0+42 = 2 Mean (5-9) = 5+92 = 7 Mean (10-14) = 10+142 = 12 Mean (15-19) = 15+192 = 17 Mean (20-24) = 20+242 = 22 Mean (25-29) = 25+292 = 27 Class Class Centre (c.c.) Frequency (f) f⋅c.c 0-4 2 5 5-9 7 9 10-14 12 13 15-19 17 10 20-24 22 7 25-29 27 2 Finally, to complete the table, fill in the f⋅c.c column by multiplying f and c.c. on each row.Class Class Centre (c.c.) Frequency (f) f⋅c.c 0-4 2 5 10 5-9 7 9 63 10-14 12 13 156 15-19 17 10 170 20-24 22 7 154 25-29 27 2 54 Class Class Centre (c.c.) Frequency (f) f⋅c.c 0-4 2 5 10 5-9 7 9 63 10-14 12 13 156 15-19 17 10 170 20-24 22 7 154 25-29 27 2 54 -
-
Question 5 of 8
5. Question
The scores of 36 students in a history quiz out of 50 are given. Complete the grouped frequency distribution table and create a histogram.Class Class Centre (c.c.) Frequency (f) 16-20 1 21-25 3 26-30 6 31-35 9 36-40 8 41-45 7 46-50 2 Total =36 - 1.
-
2.
-
3.
-
4.
Hint
Help VideoCorrect
Correct!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
To get a class centre, find the mean of the endpoints of a class.First, fill in the class centre (c.c.) column by finding the mean of the endpoints of each class.Mean (16-20) = 16+202 = 18 Mean (21-25) = 21+252 = 23 Mean (26-30) = 26+302 = 28 Mean (31-35) = 31+352 = 33 Mean (36-40) = 36+402 = 38 Mean (41-45) = 41+452 = 43 Mean (46-50) = 46+502 = 48 Class Class Centre (c.c.) Frequency (f) 16-20 18 1 21-25 23 3 26-30 28 6 31-35 33 9 36-40 38 8 41-45 43 7 46-50 48 2 Total =36 Next, create a graph with the Class Centre (c.c.) values on the bottom side and the Frequency values on the left side.Next, add bars to the graph corresponding to the frequency per class centre.Class Class Centre (c.c.) Frequency (f) 16-20 18 1 21-25 23 3 26-30 28 6 31-35 33 9 36-40 38 8 41-45 43 7 46-50 48 2 Total =36 Continue adding bars until all the scores are accounted for to finish the histogram. -
Question 6 of 8
6. Question
The mass of 32 students was measured and the results are shown. Complete the grouped frequency distribution table and create a histogram.Class Class Centre (c.c.) Frequency (f) 51-55 1 56-60 4 61-65 8 66-70 10 71-75 6 76-80 2 81-85 1 Total =32 -
1.
-
2.
-
3.
-
4.
Hint
Help VideoCorrect
Fantastic!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
To get a class centre, find the mean of the endpoints of a class.First, fill in the class centre (c.c.) column by finding the mean of the endpoints of each class.Mean (51-55) = 51+552 = 53 Mean (56-60) = 56+602 = 58 Mean (61-65) = 61+652 = 63 Mean (66-70) = 66+702 = 68 Mean (71-75) = 71+752 = 73 Mean (76-80) = 76+802 = 78 Mean (81-85) = 81+852 = 83 Class Class Centre (c.c.) Frequency (f) 51-55 53 1 56-60 58 4 61-65 63 8 66-70 68 10 71-75 73 6 76-80 78 2 81-85 83 1 Total =32 Next, create a graph with the Class Centre (c.c.) values on the bottom side and the Frequency values on the left side.Next, add bars to the graph corresponding to the frequency per class centre.Class Class Centre (c.c.) Frequency (f) 51-55 53 1 56-60 58 4 61-65 63 8 66-70 68 10 71-75 73 6 76-80 78 2 81-85 83 1 Total =32 Continue adding bars until all the scores are accounted for to finish the histogram. -
1.
-
Question 7 of 8
7. Question
The mass of 32 students was measured and the results are shown. Draw a grouped frequency polygon.-
1.
-
2.
-
3.
-
4.
Hint
Help VideoCorrect
Nice Job!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
A frequency polygon is a line graph version of the frequency distribution table.Create a cumulative frequency polygon by simply connecting the top-right corners of each bar using straight lines, as shown here. -
1.
-
Question 8 of 8
8. Question
The mass of 32 students was measured and the results are shown. Find the median class by drawing a cumulative frequency histogram.Class Class Centre (c.c.) Cumulative
Frequency51-55 53 1 56-60 58 5 61-65 63 13 66-70 68 23 71-75 73 29 76-80 78 31 81-85 83 32 - Median Class = (66)- (70)
Hint
Help VideoCorrect
Great Work!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
The median is the middle value in an ordered set of data.First, create a graph with the Class Centre (c.c.) 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 class centre.Class Class Centre (c.c.) Cumulative Frequency 51-55 53 1 56-60 58 5 61-65 63 13 66-70 68 23 71-75 73 29 76-80 78 31 81-85 83 32 Total =32 Continue adding bars until all the scores are accounted for.Next, find the middle value in the cumulative frequency axis (left side).Since the highest value is 32, simply divide it by 2.322 = 16 Trace a horizontal line from 16 until it touches part of the polygon.Notice that it touches the polygon across the bar for the class centre 68.Hence, the median is the class 66-70.Median Class=66-70
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