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Find Mean, Mode, Median and Range>
Find Mean, Mode, Median and Range 3Find Mean, Mode, Median and Range 3
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Question 1 of 8
1. Question
Find the range
`7` `9` `12` `14` `4` `7` `2` `13` `18` `6` - `\text(Range )=` (16)
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Range Formula
`\text(Highest Score)``-``\text(Lowest Score)`Remember
The range of a data set is simply the difference between the largest and smallest values.First, find the highest and the lowest score.`\text(Highest Score)` `=` `18` `\text(Lowest Score)` `=` `2` Finally, subtract the lowest score from the highest score to get the range`\text(Range)` `=` `\text(Highest Score)``-``\text(Lowest Score)` Finding the range `=` `18``-``2` Substitute values `=` `16` Evaluate `\text(Range)=16` -
Question 2 of 8
2. Question
Find the range
`11` `12` `19` `2` `3` `27` `8` `13` - `\text(Range )=` (25)
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Range Formula
`\text(Highest Score)``-``\text(Lowest Score)`Remember
The range of a data set is simply the difference between the largest and smallest values.First, find the highest and the lowest score.`\text(Highest Score)` `=` `27` `\text(Lowest Score)` `=` `2` Finally, subtract the lowest score from the highest score to get the range`\text(Range)` `=` `\text(Highest Score)``-``\text(Lowest Score)` Finding the range `=` `27``-``2` Substitute values `=` `25` Evaluate `\text(Range)=25` -
Question 3 of 8
3. Question
Find the mean`50` `51` `53` `44` `49` `52` `49` `51` `51` `50` `56` `48` `32` `50` `53` `42` Round your answer to two decimal places- `\text(Mean )=` (48.81)
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Mean Formula
$$\text{Mean}=\frac{\color{#00880a}{\sum x}}{\color{#e85e00}{N}}$$Remember
$$ \color{#00880a}{{\small\sum} x} $$ is the sum of all the given values.`N` is the number of given values.First, solve for the sum of the given values.$$ \color{#00880a}{{\small\sum} x} $$ `=` `50+51+53+44+49+52+49+51+51` `+50+56+48+32+50+53+42` `=` `781` Next, divide the sum of all values $$( \color{#00880a}{{\small\sum} x} )$$ by the number of values (`N`).`\text(Mean)` `=` $$\frac{\color{#00880a}{{\small\sum} x}}{\color{#e85e00}{N}}$$ Finding the mean `=` $$\frac{\color{#00880a}{781}}{\color{#e85e00}{16}}$$ There are `16` given values `=` `48.81` Rounded to two decimal places `\text(Mean)=48.81` -
Question 4 of 8
4. Question
Find the range
`5` `8` `2` `4` `21` `4` `18` `8` `15` `9` - `\text(Range )=` (19)
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Range Formula
`\text(Highest Score)``-``\text(Lowest Score)`Remember
The range of a data set is simply the difference between the largest and smallest values.First, find the highest and the lowest score.`\text(Highest Score)` `=` `21` `\text(Lowest Score)` `=` `2` Finally, subtract the lowest score from the highest score to get the range`\text(Range)` `=` `\text(Highest Score)``-``\text(Lowest Score)` Finding the range `=` `21``-``2` Substitute values `=` `19` Evaluate `\text(Range)=19` -
Question 5 of 8
5. Question
Find the range
Score `(x)` Frequency `(f)` 6 3 7 4 8 4 9 8 10 3 11 7 12 5 - `\text(Range )=` (6)
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Range Formula
`\text(Highest Score)``-``\text(Lowest Score)`Remember
The range of a data set is simply the difference between the largest and smallest values.First, find the highest and the lowest score.Score `(x)` Frequency `(f)` 6 3 7 4 8 4 9 8 10 3 11 7 12 5 `\text(Highest Score)` `=` `12` `\text(Lowest Score)` `=` `6` Finally, subtract the lowest score from the highest score to get the range`\text(Range)` `=` `\text(Highest Score)``-``\text(Lowest Score)` Finding the range `=` `12``-``6` Substitute values `=` `6` Evaluate `\text(Range)=6` -
Question 6 of 8
6. Question
Find the mode`59.6` `5.6` `36.2` `61.6` `66.4` `66.6` `55.4` `47.8` `61.4` `43.8` `16` `48.2` `15.2` `14.4` `54.6` `47.8` `37.6` `26.8` `32.4` `62.8` `67.8` `47.4` `46.6` - `\text(Mode )=` (47.8)
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The mode of a data set is the value with the highest frequencyWe need to identify the value that appeared most from the data set.`59.6` `5.6` `36.2` `61.6` `66.4` `66.6` `55.4` `47.8` `61.4` `43.8` `16` `48.2` `15.2` `14.4` `54.6` `47.8` `37.6` `26.8` `32.4` `62.8` `67.8` `47.4` `46.6` We can see that the value `47.8` occured twice, and is the most frequent value of the data set.Therefore, the mode for this data set is `47.8``\text(Mode)=47.8` -
Question 7 of 8
7. Question
Find the range
Score `(x)` Frequency `(f)` 1 2 2 7 3 4 4 8 5 7 6 5 7 1 - `\text(Range )=` (6)
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Range Formula
`\text(Highest Score)``-``\text(Lowest Score)`Remember
The range of a data set is simply the difference between the largest and smallest values.First, find the highest and the lowest score.Score `(x)` Frequency `(f)` 1 2 2 7 3 4 4 8 5 7 6 5 7 1 `\text(Highest Score)` `=` `7` `\text(Lowest Score)` `=` `1` Finally, subtract the lowest score from the highest score to get the range`\text(Range)` `=` `\text(Highest Score)``-``\text(Lowest Score)` Finding the range `=` `7``-``1` Substitute values `=` `6` Evaluate `\text(Range)=6` -
Question 8 of 8
8. Question
Find the median`7.75` `9.25` `6.25` `5.75` `7.25` `5.5` `6` `7` `6.75` `7` `7` `6.5` `6.5` `5.5` `7` `8` `6` `6.75` `7.75` `7.5` `7` `6` - `\text(Median )=` (6.875)
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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, arrange the values of the data set in ascending order`5.5` `5.5` `5.75` `6` `6` `6` `6.25` `6.5` `6.5` `6.75` `6.75` `7` `7` `7` `7` `7` `7.25` `7.5` `7.75` `7.75` `8` `9.25` We can see that the values `6.75` and `7` are the middle values of the data set.To find the median, we add the two middle values and divide it by `2``\text(Median)` `=` `(6.75+7)/2` `=` `13.75/2` `=` `6.875` `\text(Median)=6.875`
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