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Create and Interpret Bar & Line Graphs (Histograms)>
Create and Interpret Bar & Line Graphs (Histograms)Create and Interpret Bar & Line Graphs (Histograms)
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Question 1 of 6
1. Question
From the frequency histogram shown below, find the mode of the scores.- Mode =Mode = (4)
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A histogram is a bar graph version of the frequency distribution table.The mode is the value that appears most often in a set of data.First, convert the histogram into a frequency table.Score (x)(x) – values at the bottom of the histogramFrequency (f)(f) – height of each bar on the histogramScore (x)(x) Frequency (f)(f) 1 2 2 8 3 16 4 20 5 12 6 4 7 2 Notice that the highest value in the Frequency column is 2020 and it corresponds to 44.Score (x)(x) Frequency (f)(f) 1 2 2 8 3 16 4 20 5 12 6 4 7 2 In other words, the score 44 occurs the most frequently, and is therefore the mode.Mode=4Mode=4 -
Question 2 of 6
2. Question
From the frequency histogram shown below, find the mean of the scores.Round your answer to two decimal places- Mean =Mean = (3.81)
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Mean Formula
Mean=∑f⋅x∑fMean=∑f⋅x∑fRemember
A histogram is a bar graph version of the frequency distribution table.First, convert the histogram into a frequency table.Score (x)(x) – values at the bottom of the histogramFrequency (f)(f) – height of each bar on the histogramf⋅xf⋅x – sum of xx and ff on each row in the newly created frequency table.Score (x)(x) Frequency (f)(f) f⋅xf⋅x 1 2 2 2 8 16 3 16 48 4 20 80 5 12 60 6 4 24 7 2 14 Find the sum of both the Frequency and f.xf.x columns.∑f∑f == 2+8+16+20+12+4+22+8+16+20+12+4+2 == 6464 ∑f⋅x∑f⋅x == 2+16+48+80+60+24+142+16+48+80+60+24+14 == 244244 Score (x)(x) Frequency (f)(f) f⋅xf⋅x 1 2 2 2 8 16 3 16 48 4 20 80 5 12 60 6 4 24 7 2 14 Total =64Total =64 Total =244Total =244 Use the formula to compute for the mean.MeanMean == ∑f⋅x∑f∑f⋅x∑f Mean Formula MeanMean == 2446424464 Substitute values MeanMean == 3.813.81 Rounded to two decimal places Mean=3.81Mean=3.81 -
Question 3 of 6
3. Question
From the frequency histogram shown below, find the median of the scores.- Median =Median = (4)
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A histogram is a bar graph version of the frequency distribution table.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, convert the histogram into a frequency table.Score (x)(x) – values at the bottom of the histogramFrequency (f)(f) – height of each bar on the histogramScore (x)(x) Frequency (f)(f) 1 2 2 8 3 16 4 20 5 12 6 4 7 2 Find the sum of both the Frequency and f.xf.x columns.∑f∑f == 2+8+16+20+12+4+22+8+16+20+12+4+2 == 6464 Score (x)(x) Frequency (f)(f) 1 2 2 8 3 16 4 20 5 12 6 4 7 2 Total =64Total =64 Next, arrange the values of the data set in ascending orderThe frequency (f)(f) indicates how many times a score should be listed11 11 22 22 22 22 22 22 22 22 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 55 55 55 55 55 55 55 55 55 55 55 55 66 66 66 66 77 77 We can see that the values 44 and 44 are the middle values of the data set.To find the median, we add the two middle values and divide it by 22MedianMedian == 4+424+42 == 8282 == 44 Median=4Median=4 -
Question 4 of 6
4. Question
A group of 1717 students were surveyed as to how many phone calls they made on the weekend. Draw a frequency distribution table and then a histogram.1010 88 1212 99 1010 66 1010 99 99 1111 77 99 66 99 1111 88 1010 - 1.
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A frequency distribution table displays how many times a particular score has occurred in a set of data.A histogram is a bar graph version of the frequency distribution table.First, fill in the Score column with the range of all possible scores, in ascending order.Score (x)(x) Tally Frequency (f)(f) 6 7 8 9 10 11 12 Total =Total = Next, read across the data while placing a stroke in the Tally column for each corresponding score.
To reduce the chance of mistakes, cross off each score as they are tallied.1010 88 1212 99 1010 66 1010 99 99 1111 77 99 66 99 1111 88 1010 Score (x)(x) Tally Frequency (f)(f) 6 7 8 9 10 11 12 Total =Total = Continue doing this until all scores are tallied.Score (x)(x) Tally Frequency (f)(f) 6 7 8 9 10 11 12 Total =Total = Count the tallies per score and note it under the Frequency column.Score (x)(x) Tally Frequency (f)(f) 6 2 7 1 8 2 9 5 10 4 11 2 12 1 Total =Total = To check, count the total frequency and make sure it is equal to the number of given scores.Score (x)(x) Tally Frequency (f)(f) 6 2 7 1 8 2 9 5 10 4 11 2 12 1 Total =17Total =17 From the given data, we know that N=17N=17Therefore, all scores have been accounted for.Now, for the histogram, prepare a bar graph with the scores listed at the bottom, and the frequency listed at the left side.For each score, draw a bar with height corresponding to the frequency of that score. -
Question 5 of 6
5. Question
From the frequency polygon shown below, find the mean of the scores.Round your answer to one decimal place- Mean =Mean = (5.6)
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Mean Formula
Mean=∑f⋅x∑fMean=∑f⋅x∑fRemember
A frequency polygon is a line graph version of the frequency distribution table.First, convert the frequency polygon into a frequency table.Score (x)(x) – values at the bottom of the histogramFrequency (f) – height of each bar on the histogramf⋅x – sum of x and f on each row in the newly created frequency table.Score (x) Frequency (f) f⋅x 2 3 6 3 2 6 4 5 20 5 6 30 6 9 54 7 12 84 8 3 24 Find the sum of both the Frequency and f.x columns.∑f = 3+2+5+6+9+12+3 = 40 ∑f⋅x = 6+6+20+30+54+84+24 = 224 Score (x) Frequency (f) f⋅x 2 3 6 3 2 6 4 5 20 5 6 30 6 9 54 7 12 84 8 3 24 Total =40 Total =224 Use the formula to compute for the mean.Mean = ∑f⋅x∑f Mean Formula Mean = 22440 Substitute values Mean = 5.6 Mean=5.6 -
Question 6 of 6
6. Question
From the frequency polygon shown below, construct a frequency distribution table and determine how many fishermen are in the group.Enter the frequency for each respective score in the table below-
Score (x) Frequency (f) 2 (3) 3 (2) 4 (5) 5 (6) 6 (9) 7 (12) 8 (3) Total =
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A frequency distribution table displays how many times a particular score has occurred in a set of data.This frequency polygon can be expressed as:Hours fishing = Score (x) No. of fishermen = Frequency (f) Name the table accordingly, then fill in the Hours fishing column with the values at the bottom of the polygon.Hours fishing (x) No. of fishermen (f) 2 3 4 5 6 7 8 Total = Next, check the points on the polygon and note the corresponding No. of fishermen for each Hours fishing under the No. of fishermen column.Hours fishing (x) No. of fishermen (f) 2 3 3 2 4 5 5 6 6 9 7 12 8 3 Total = Lastly, count the total frequency.Hours fishing (x) No. of fishermen (f) 2 3 3 2 4 5 5 6 6 9 7 12 8 3 Total =40 Hours fishing (x) No. of fishermen (f) 2 3 3 2 4 5 5 6 6 9 7 12 8 3 Total =40 -
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