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MathematicsGrade 6en

📊 Data Analysis: Mean, Median, Mode & Range

Master the fundamentals of data analysis by learning how to collect, organize, and interpret datasets using key statistical measures. You'll explore mean (average), median, mode, and range calculations, interpret data visualizations like double bar graphs and pictographs, and develop the skills to make meaningful inferences from real-world data. **What you'll learn:** - Calculate mean, median, mode, and range from datasets - Interpret double bar graphs and pictographs effectively - Compare and contrast datasets using statistical measures - Make inferences and draw conclusions from organized data - Apply data analysis skills to solve real-world problems

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  1. Question 1

    A class records the number of books read by each student in a month: 5, 8, 3, 8, 6, 9, 8, 4. What is the mode of this dataset?

  2. Question 2

    What is the mean (average) of the following dataset: 12, 15, 18, 21, 24?

  3. Question 3

    The median is always the middle value when a dataset is arranged in order from smallest to largest.

  4. Question 4

    A student's test scores are: 72, 85, 90, 78, 95. What is the range of these scores?

  5. Question 5

    The heights (in cm) of six students are: 140, 145, 142, 145, 140, 148. What is the median height?

  6. Question 6

    Which measure of central tendency is best used to describe the 'typical' value when there are extreme outliers in the data?

  7. Question 7

    A pictograph uses symbols to represent data. If each symbol represents 5 students, how many students does 3½ symbols represent?

  8. Question 8

    A double bar graph is used to compare two different datasets for the same categories.

  9. Question 9

    A dataset has a mean of 20 and contains the values: 15, 18, 22, 25, and one unknown value. What is the unknown value?

  10. Question 10

    A survey asks 10 students their favorite fruit. The results are: Apple (3), Banana (5), Orange (2). Which fruit is the mode?

  11. Question 11

    When comparing two datasets, why might you look at both the mean and the range together?

  12. Question 12

    The range of a dataset is calculated by subtracting the minimum value from the maximum value.

  13. Question 13

    A class collected data on the number of hours students studied for a test. The dataset is: 2, 3, 3, 4, 5, 5, 5, 6, 7. What is the median number of hours?

  14. Question 14

    A double bar graph shows ice cream sales over two summer months. What inference could you make if the bars for July are noticeably taller than for June?

  15. Question 15

    Which of the following datasets would have the smallest range?

  16. Question 16

    A student's quiz scores are: 80, 85, 90, 95. If the student gets 100 on the next quiz, how does the mean change?

  17. Question 17

    Two datasets can have the same mean but different ranges.

  18. Question 18

    A pictograph uses a key where one full symbol = 10 tickets sold. If a row shows 2 full symbols and 1 half symbol, how many tickets were sold?