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Find Mean, Mode, Median and Range 1Find Mean, Mode, Median and Range 1
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Question 1 of 9
1. Question
Find the mean`7` `3` `5` `8` `4` `6` `3` Round your answer to one decimal place- `\text(Mean )=` (5.1)
Hint
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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.$$ \color{#00880a}{{\small\sum} x} $$ `=` `7+3+5+8+4+6+3` `=` `36` Evaluate 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 `=` $$\frac{\color{#00880a}{36}}{\color{#e85e00}{7}}$$ There are `7` given values `=` `5.1` Rounded to one decimal place `\text(Mean)=5.1` -
Question 2 of 9
2. Question
Find the mean`8` `10` `9` `10.5` `9` `7` `8.5` `6` `10` `7` `8` `6` `8` `6` `6.5` Round your answer to two decimal places- `\text(Mean )=` (7.97)
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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.$$ \color{#00880a}{{\small\sum} x} $$ `=` `8+10+9+10.5+9+7+8.5+6` `+10+7+8+6+8+6+6.5` `=` `119.5` Evaluate 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 `=` $$\frac{\color{#00880a}{119.5}}{\color{#e85e00}{15}}$$ There are `15` given values `=` `7.97` Rounded to two decimal places `\text(Mean)=7.97` -
Question 3 of 9
3. Question
Find the mode`3` `5` `3` `8` `4` `6` `3` - `\text(Mode )=` (3)
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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.`3` `5` `3` `8` `4` `6` `3` We can see that the value `3` occured three times, and is the most frequent value of the data set.Therefore, the mode for this data set is `3``\text(Mode)=3` -
Question 4 of 9
4. Question
Find the mode`70` `69` `70` `68` `69` `65` `71` `69` `69` `71` `66` `70` `68` `73` `71` `68` `71` - `\text(Mode )=` (69, 71) and (71, 69)
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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.`70` `69` `70` `68` `69` `65` `71` `69` `69` `71` `66` `70` `68` `73` `71` `68` `71` We can see that both the values `69` and `71` occured four times each, and are the most frequent values of the data set.Therefore, the modes for this data set are `69` and `71``\text(Mode)=69` and `71` -
Question 5 of 9
5. Question
Find the median`6` `5` `3` `8` `4` `6` `8` - `\text(Median )=` (6)
Hint
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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`3` `4` `5` `6` `6` `8` `8` We can see that the value `6` is the middle value of the data set.Therefore, the median for this data set is `6``\text(Median)=6` -
Question 6 of 9
6. Question
Find the median`3` `1` `4` `5` `7` `12` `7` `5` `6` - `\text(Median )=` (5)
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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`1` `3` `4` `5` `5` `6` `7` `7` `12` We can see that the value `5` is the middle value of the data set.Therefore, the median for this data set is `5``\text(Median)=5` -
Question 7 of 9
7. Question
Find the range`8` `9` `6` `4` `8` `2` `5` - `\text(Range )=` (7)
Hint
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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)` `=` `9` `\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 `=` `9``-``2` Substitute values `=` `7` Evaluate `\text(Range)=7` -
Question 8 of 9
8. Question
Find the range`2` `4` `4` `6` `6` `7` `11` `12` `15` `16` - `\text(Range )=` (14)
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Fantastic!
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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)` `=` `16` `\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 `=` `16``-``2` Substitute values `=` `14` Evaluate `\text(Range)=14` -
Question 9 of 9
9. Question
Find the range`41.9` `32.3` `33.7` `19.6` `37.8` `24.7` `42` `27.8` `35.7` `34.5` `29.1` `36.2` `40.9` `24.2` `45.8` `31.8` `32.3` `26.5` `25.9` `22.9` `33.3` - `\text(Range )=` (26.2)
Correct
Exceptional!
Incorrect
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)` `=` `45.8` `\text(Lowest Score)` `=` `19.6` Finally, subtract the lowest score from the highest score to get the range`\text(Range)` `=` `\text(Highest Score)``-``\text(Lowest Score)` Finding the range `=` `45.8``-``19.6` Substitute values `=` `26.2` Evaluate `\text(Range)=26.2`
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