QQuestionMathematics
QuestionMathematics
Here are ten numbers:
3, 7, 2, 4, 7, 5, 7, 1, 8, 8
(a) Write down the mode.
(b) Work out the median.
(c) Calculate the mean.
(d) What is the range?
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Answer
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Step 1:
"Mode" = 7 \text{ because it appears three times}
To find the mode, we need to identify the number that appears most frequently in the list.
Step 2:
Median = \frac{5^{th} \text{ number} + 6^{th} \text{ number}}{2} = \frac{5 + 7}{2} = 6
Before calculating the median, let's first arrange the numbers in ascending order: Since there are 10 numbers (even), the median is the average of the two middle numbers. The two middle numbers are the 5th and 6th numbers:
Step 3:
\text{Mean} = \frac{3 + 7 + 2 + 4 + 7 + 5 + 7 + 1 + 8 + 8}{10} = \frac{52}{10} = 5.2
To calculate the mean, also known as the average, add up all the numbers and divide by the count of numbers.
Step 4:
\text{Range} = \text{Largest number} - \text{Smallest number} = 8 - 1 = 7
To find the range, subtract the smallest number from the largest number.
Final Answer
- Mode: 7 - Median: 6 - Mean: 5.2 - Range: 7
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