Unit 6 Advanced Worksheet

Data & Statistics - 20 Challenging Questions

Basic Level

Unit 6: Data & Statistics - Advanced Level

Practice worksheet with interactive questions

20 Questions•20-30 minutes

Instructions

Read each question carefully before answering
Take your time to think through each problem
You can change your answers before submitting
Click "Submit Answers" to see your results
Use hints if you need help understanding a question

Question 1

Word Problem

Data: 5, 8, 12, 15, 20, 100. Which better represents typical value: mean or median? Explain.

💡 Hint

Consider impact of the extreme value

Question 2

Multiple Choice

Test scores: 75, 80, 85, 85, 90, 95. What are mean, median, and mode?

Question 3

Fill In Blank

Survey 120 of 1,200 students. Sample size = ___%

💡 Hint

Divide sample by population

Question 4

Word Problem

Pie chart: Reading 35%, Math 30%, Science 20%, Other 15%. Class has 80 students. How many prefer Math?

💡 Hint

Calculate percentage of total

Question 5

True False

Bimodal data has exactly two modes.

Question 6

Multiple Choice

Data set A: 10, 10, 10, 10. Data set B: 5, 10, 15, 20. Which has larger range?

Question 7

Word Problem

Line graph shows sales: Jan (100), Feb (120), Mar (110), Apr (140). What's the overall trend?

💡 Hint

Compare start to end

Question 8

Fill In Blank

Survey question: 'How many hours do you study?' This is ___ question (statistical/non-statistical)

💡 Hint

Will answers vary?

Question 9

Word Problem

Data: 20, 25, 30, 35, 40. If each value increases by 10, what happens to the mean?

💡 Hint

Calculate both means

Question 10

Multiple Choice

Bar graph scale jumps by 10s. One bar appears at 7.5 between 70 and 80. What value?

Question 11

True False

Stratified sampling divides population into groups, then samples from each group.

Question 12

Fill In Blank

Heights: 160, 165, 170, 175, 180 cm. Median = ___ cm

💡 Hint

Find middle value

Question 13

Word Problem

Class mean on test is 82. If teacher adds 5 bonus points to everyone, new mean?

💡 Hint

Mean shifts by same amount

Question 14

Multiple Choice

Data: 2, 4, 4, 6, 6, 6, 8. What are the mode(s)?

Question 15

Word Problem

Survey about lunch sent only to students who buy lunch. Is this biased? Why?

💡 Hint

Who's excluded?

Question 16

Fill In Blank

Pie chart shows budget. If savings is 25% of $400 monthly income, savings = $___

💡 Hint

Calculate percentage

Question 17

True False

If all data values are identical, mean = median = mode.

Question 18

Multiple Choice

Dataset: 10, 20, 30, 40, 50, 60. If we add value 100, which measure changes most?

Question 19

Word Problem

Line graph shows temperature drop from 75°F to 65°F over 5 hours. Average rate of change per hour?

💡 Hint

Divide total change by time

Question 20

Fill In Blank

Data: 15, 18, 21, 24, 27. This is an arithmetic sequence. Mean = ___

💡 Hint

Sum and divide by count

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