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Data Analysis Worksheet

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Data Analysis Worksheet

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📘 Part 1: Key Formulas & Quick Check

1. Write the formula or rule for each item below:

a) Mean = _________

b) Median = _________

c) Range = _________

d) Lower fence (using IQR) = _________

e) Upper fence (using IQR) = _________

2. Which measure is least affected by a very large outlier?

Mean

Median

Mode

Range

🧮 Part 2: Calculations, Fences and Stem-and-Leaf

3. For these test scores (out of 100): 56, 62, 75, 75, 80, 85, 92, 100

a) Find the mean. Show working.

b) Find the median. ________

c) State the mode. ________

d) Find the range. ________

4. Use the dataset: 5, 7, 8, 9, 10, 11, 12, 50

a) Calculate Q1 and Q3. Q1 = ________ Q3 = ________

b) Find the IQR. IQR = ________

c) Calculate the lower fence and upper fence (use 1.5 × IQR): Lower fence = ________ Upper fence = ________

d) Which values (if any) are outliers? ________

5. Create a stem-and-leaf plot for the numbers below and state the median:

Numbers: 21, 23, 24, 27, 28, 31, 33, 34, 36

Median = ________

✏️ Part 3: Compare & Explain (Writing)

6. Two classes recorded these scores (same test):

Class A: 50, 55, 60, 65, 70, 75

Class B: 50, 55, 60, 65, 70, 200

a) Calculate the mean for each class. Show your answers:

Mean Class A = ________ Mean Class B = ________

7. In full sentences, compare the two classes. Mention central tendency, spread (range or IQR), and whether an outlier changes the best measure to describe a 'typical' score.

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