Coach Scales Statistics Refresher Quiz

What is the correct order of operations in mathematics?

• Addition, Subtraction, Multiplication, Division, Parentheses, Exponents

• Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)

• Multiplication, Division, Addition, Subtraction, Parentheses, Exponents

• Exponents, Parentheses, Multiplication, Addition, Division, Subtraction

Answer explanation

The correct order of operations is Parentheses first, then Exponents, followed by Multiplication and Division (from left to right), and finally Addition and Subtraction (from left to right). This ensures accurate calculations.

Tags

CCSS.7.NS.A.3

Which of the following best describes the multiplication rule in probability?

• The probability of two independent events both occurring is the product of their probabilities.

• The probability of two events is the sum of their probabilities.

• The probability of an event is always 1.

• The probability of two events is the difference of their probabilities.

Answer explanation

The correct choice states that the probability of two independent events both occurring is the product of their probabilities. This is the essence of the multiplication rule in probability.

• 0.9

• 0.2

• 0.1

• 0.7

Answer explanation

Since A and B are independent, we can find P(A and B) by multiplying their probabilities: P(A and B) = P(A) * P(B) = 0.5 * 0.4 = 0.2. Thus, the correct answer is 0.2.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Which of the following is a sample?

• All students in a country

• 100 students selected from a school

• Every person in a city

• All cars produced by a manufacturer

Answer explanation

A sample is a subset of a population. '100 students selected from a school' is a sample because it represents a portion of a larger group, while the other options represent entire populations.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

Which of the following is a population?

• 50 randomly chosen apples from a truckload

• All apples in the truckload

• 10 apples from a basket

• 5 apples from a store

Answer explanation

The population refers to the entire group being studied. In this case, 'All apples in the truckload' represents the complete set, while the other options are just samples from that population.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

What is the median of the data set: 3, 7, 9, 15, 21?

• 7

• 9

• 15

• 21

Answer explanation

To find the median, first arrange the data in order: 3, 7, 9, 15, 21. The median is the middle value. With five numbers, the third number is the median, which is 9.

Tags

CCSS.6.SP.B.5C

What is the mean of the numbers 2, 4, 6, 8, 10?

• 5

• 6

• 7

• 8

Answer explanation

To find the mean, add the numbers: 2 + 4 + 6 + 8 + 10 = 30. Then divide by the count of numbers (5): 30 / 5 = 6. Thus, the mean is 6.

Tags

CCSS.6.SP.B.5C

Which of the following is NOT a measure of center?

• Mean

• Median

• Mode

• Range

Answer explanation

The range measures the spread of data by calculating the difference between the highest and lowest values. In contrast, mean, median, and mode are all measures of center, which summarize a data set's central tendency.

Tags

CCSS.6.SP.A.3

• 0.8

• 0.15

• 0.2

• 0.5

Answer explanation

Since A and B are independent, we can find P(A and B) by multiplying their probabilities: P(A and B) = P(A) * P(B) = 0.3 * 0.5 = 0.15. Thus, the correct answer is 0.15.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Which of the following expressions is evaluated first according to the order of operations?

Answer explanation

According to the order of operations, expressions in parentheses are evaluated first. Thus, in the expression (2 + 3) × 4, the addition is performed before the multiplication, making it the first evaluated expression.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2