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Averages and Data Interpretation

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Averages and Data Interpretation

Bar chart and calculator illustration

📊 Part 1: Calculating Averages from Data Tables

The table below shows the number of goals scored by a football team in their last 10 matches:

Goals scored: 2, 1, 4, 0, 3, 2, 1, 5, 2, 0

1. Calculate the mean number of goals scored.

Mean = _______

2. Find the median number of goals scored.

Median = _______

3. What is the mode of the goals scored?

The table shows the heights (in cm) of students in Year 8:

Heights: 145, 152, 148, 155, 150, 147, 153, 149, 151, 146, 154, 150

4. Calculate the mean height of the students (to 1 decimal place).

Mean height = _______ cm

5. Which type of average would be most appropriate to represent the typical height of students? Explain your answer.

Mean - because it uses all the data values

Median - because it's not affected by extreme values

Mode - because it shows the most common value

📈 Part 2: Data Interpretation from Charts

The bar chart below shows the number of books read by students in different months:

January: 12 books | February: 15 books | March: 8 books | April: 18 books | May: 10 books

6. What is the mean number of books read per month?

Mean = _______ books

7. In which month was the number of books read closest to the mean?

A pictograph shows ice cream sales (each symbol = 5 ice creams):

Monday: 4 symbols | Tuesday: 6 symbols | Wednesday: 3 symbols | Thursday: 7 symbols | Friday: 5 symbols

8. How many ice creams were sold in total during the week?

Total ice creams = _______

9. What is the median number of ice creams sold per day?

Median = _______ ice creams

10. If the pattern continues and Saturday's sales are equal to the mean of the weekdays, how many ice creams would be sold on Saturday?

Saturday sales = _______ ice creams

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