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Quiz

Statistics and Data quiz

Choose the statistic that answers the question. The mean is useful for a typical value, while range and standard deviation describe spread.

Choose difficulty

Pick how hard you want the quiz to be. The answer choices are in the question section below.

Multiple choice quiz

Read each question, then choose one answer.

Question 1

The values 20, 26, 32, 38, 44 are the whole population for a small group. μ = 32 and Σ(x − μ)² = 360. Calculate the population standard deviation.

Population standard deviation table

x 20: x − μ-12
x 20: (x − μ)²144
x 26: x − μ-6
x 26: (x − μ)²36
x 32: x − μ0
x 32: (x − μ)²0
x 38: x − μ6
x 38: (x − μ)²36
x 44: x − μ12
x 44: (x − μ)²144

Choose one answer

Question 2

Weekly sales are 8, 10, 12, 15, 17. What is the median?

Weekly sales

Week 18
Week 210
Week 312
Week 415
Week 517

Choose one answer

Question 3

In a standard deviation table, the mean is 17. For x = 14, complete the row: x − mean and (x − mean)².

One table row

x14
mean17

Choose one answer

Question 4

Two community survey data sets have the same mean. Use the table to compare spread. Which conclusion is correct?

Survey summary

Set A mean54
Set A standard deviation5
Set B mean54
Set B standard deviation10

Choose one answer

Question 5

Use the household bills chart. Which comparison is correct?

Monthly household bills

Gas
45
Electricity
79
Water
25

Each bar is labelled with its value.

Choose one answer

Question 6

A shop records shoe sizes sold in one hour: 12, 10, 12, 15, 11, 12. What is the mode size?

Shoe sizes sold

Sale 112
Sale 210
Sale 312
Sale 415
Sale 511
Sale 612

Choose one answer