Interpret Frequency Tables 2
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Question 1 of 8
1. Question
Complete the frequency distribution table and find the mode.Score (x) Frequency (f) 8 2 9 3 10 7 11 4 12 8 13 2 14 1 - Mode = (12)
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The mode is the value that appears most often in a set of data.Notice that the highest value in the Frequency column is 8 and it corresponds to 12.Score (x) Frequency (f) 8 2 9 3 10 7 11 4 12 8 13 2 14 1 In other words, the score 12 occurs the most frequently, and is therefore the mode.Mode=12 -
Question 2 of 8
2. Question
Find the mean of the following frequency distribution table.Score (x) Tally Frequency (f) 0 6 1 10 2 6 3 4 4 3 5 0 6 1 Total =30 Round your answer to two decimal places.- Mean = (1.73)
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Mean Formula
Mean=∑f⋅x∑fA frequency distribution table displays how many times a particular score has occurred in a set of data.Add an f⋅x column to the table. Fill it in by multiplying x and f on each row.Score (x) Tally Frequency (f) f⋅x 0 6 0 1 10 10 2 6 12 3 4 12 4 3 12 5 0 0 6 1 6 Total =30 Find the sum of the f⋅x column.∑f⋅x = 0+10+12+12+12+0+6 = 52 Score (x) Tally Frequency (f) f⋅x 0 6 0 1 10 10 2 6 12 3 4 12 4 3 12 5 0 0 6 1 6 Total =30 Total =52 Use the formula to compute for the mean.Mean = ∑f⋅x∑f Mean Formula Mean = 5230 Substitute values Mean = 1.73 Rounded to two decimal places Mean=1.73 -
Question 3 of 8
3. Question
Find the mode of the frequency distribution table.Goals in a Hockey Game Goals (x) Frequency (f) 3 4 5 5 6 1 7 5 10 1 - Mode = (5, 7) and (7, 5)
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The mode is the value that appears most often in a set of data.Notice that the highest value in the Frequency column is 5 and it corresponds to both 5 and 7.Goals (x) Frequency (f) 3 4 5 5 6 1 7 5 10 1 In other words, the scores 5 and 7 occur the most frequently, and are therefore the modes.Mode=5 and 7 -
Question 4 of 8
4. Question
Complete the frequency distribution table and find the mean.Score (x) Frequency (f) f⋅x 8 2 9 3 10 7 11 4 12 8 13 2 14 1 Round your answer to two decimal places.- Mean = (10.85)
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Mean Formula
Mean=∑f⋅x∑fA frequency distribution table displays how many times a particular score has occurred in a set of data.To complete the table, fill in the f⋅x column by multiplying x and f on each row.Score (x) Frequency (f) f⋅x 8 2 16 9 3 27 10 7 70 11 4 44 12 8 96 13 2 26 14 1 14 Find the sum of both the Frequency and f⋅x columns.∑f = 2+3+7+4+8+2+1 = 27 ∑f⋅x = 16+27+70+44+96+26+14 = 293 Score (x) Frequency (f) f⋅x 8 2 16 9 3 27 10 7 70 11 4 44 12 8 96 13 2 26 14 1 14 Total =27 Total =293 Use the formula to compute for the mean.Mean = ∑f⋅x∑f Mean Formula Mean = 29327 Substitute values Mean = 10.85 Rounded to two decimal places Mean=10.85 -
Question 5 of 8
5. Question
Find the mode of the frequency distribution table.Adult Male Heights Inches (x) Frequency (f) 65 1 70 3 71 4 75 1 - Mode = (71)
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The mode is the value that appears most often in a set of data.Notice that the highest value in the Frequency column is 4 and it corresponds to 71.Inches (x) Frequency (f) 65 1 70 3 71 4 75 1 In other words, the score 71 occurs the most frequently, and is therefore the mode.Mode=71 -
Question 6 of 8
6. Question
Complete the frequency distribution table and find the mode.Score (x) Frequency (f) 8 3 9 4 10 8 11 2 12 11 13 3 14 10 - Mode = (12)
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The mode is the value that appears most often in a set of data.Notice that the highest value in the Frequency column is 11 and it corresponds to 12.Score (x) Frequency (f) 8 3 9 4 10 8 11 2 12 11 13 3 14 10 In other words, the score 12 occurs the most frequently, and is therefore the mode.Mode=12 -
Question 7 of 8
7. Question
Find the mean of the following frequency distribution table.Score (x) Frequency (f) 3 2 5 3 6 4 7 1 10 1 12 1 15 2 18 1 Round your answer to two decimal places.- Mean = (8.13)
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Mean Formula
Mean=∑f⋅x∑fA frequency distribution table displays how many times a particular score has occurred in a set of data.Add an f.x column to the table. Fill it in by multiplying x and f on each row.Score (x) Frequency (f) f⋅x 3 2 6 5 3 15 6 4 24 7 1 7 10 1 10 12 1 12 15 2 30 18 1 18 Find the sum of both the Frequency and f.x columns.∑f = 2+3+4+1+1+1+2+1 = 15 ∑f.x = 6+15+24+7+10+12+30+18 = 122 Score (x) Frequency (f) f⋅x 3 2 6 5 3 15 6 4 24 7 1 7 10 1 10 12 1 12 15 2 30 18 1 18 Total =15 Total =122 Use the formula to compute for the mean.Mean = ∑f⋅x∑f Mean Formula Mean = 12215 Substitute values Mean = 8.13 Rounded to two decimal places Mean=8.13 -
Question 8 of 8
8. Question
Complete the frequency distribution table and find the median.Score (x) Frequency (f) 8 2 9 3 10 7 11 4 12 8 13 2 14 1 - Median = (11)
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The median is the middle value of a data set.If there are two middle values on a data set, we get their sum and halve it to get the median.First, find the sum of the frequency columnScore (x) Frequency (f) 8 2 9 3 10 7 11 4 12 8 13 2 14 1 Total=27 Knowing that the median is the middle value, simply halve the total (27) and round it up to get the exact position of the middle value.27×12 = 13.5 = 14 Round up This means that the median is in the 14th position.Now, find the corresponding 14th score by counting down the frequency column row by row until we reach 14Score (x) Frequency (f) 8 2 The 1st and 2nd score is 8 9 2+3=5 The 3rd to 5th score is 9 10 5+7=12 The 6th to 12th score is 10 11 12+4=16 The 13th to 16th score is 11 12 8 13 2 14 1 Total=27 The 14th score is between the 13th and 16th.Therefore, the median is 11.Median=11
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