SDC Stats Practice Day 1

A histogram displays the distribution of a dataset. Which of the following best describes a dataset with a histogram that is skewed to the right?

• The mean is less than the median.

• The mean is greater than the median.

• The mean is equal to the median.

• The data is uniformly distributed.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

What is the median of the following dataset: 3, 7, 8, 12, 14, 18, 21?

• 8

• 12

• 10

• 14

Tags

CCSS.6.SP.B.5C

Which measure of variability is defined as the difference between the third quartile and the first quartile?

• Range

• Variance

• Interquartile Range (IQR)

• Standard Deviation

Tags

CCSS.6.SP.A.3

A researcher claims that the average height of a certain plant species is 15 cm. A sample of 30 plants has a mean height of 14.5 cm with a standard deviation of 2 cm. What is the null hypothesis for a hypothesis test to evaluate the researcher's claim?

Calculate a 95% confidence interval for the mean of a dataset with a sample mean of 50, a standard deviation of 5, and a sample size of 100.

• (49, 51)

• (48, 52)

• (49.02, 50.98)

• (48.04, 51.96)

Tags

CCSS.HSS.IC.B.4

Which of the following scatterplots indicates a strong positive linear relationship between two variables?

• A scatterplot with points forming a downward slope.

• A scatterplot with points forming an upward slope.

• A scatterplot with points scattered randomly.

• A scatterplot with points forming a horizontal line.

Tags

CCSS.HSS.ID.B.5

What is the probability of getting exactly 3 heads in 5 flips of a fair coin?

In a hypothesis test, if the p-value is less than the significance level, what is the appropriate decision?

• Fail to reject the null hypothesis.

• Reject the null hypothesis.

• Accept the null hypothesis.

• Increase the sample size.

If the probability of event A is 0.3 and the probability of event B given A is 0.5, what is the conditional probability of event B?

• 0.15

• 0.5

• 0.3

• 0.6

A final exam score is normally distributed with a mean of 75 and a standard deviation of 10. What is the probability that a randomly selected student scores above 85?

• 0.1587

• 0.8413

• 0.5

• 0.0228

Tags

CCSS.HSS.ID.A.4