2.3 Warm Up [STATS]

One way to measure the duration of subterranean disturbances such as earthquakes and mining is to calculate the root-mean-square time. The following histograms summarize the distributions of the root-mean-square times for two sources of disturbances. Based on the histograms, which of the following correctly compares the two distributions?

• The median of the earthquake disturbances is equal to the median of the mining disturbances.

• The median of the earthquake disturbances is less than the median of the mining disturbances.

• The range of the earthquake disturbances is equal to the range of the mining disturbances.

• The range of the earthquake disturbances is less than the range of the mining disturbances.

• The mode of the earthquake disturbances is equal to the mode of the mining disturbances.

Answer explanation

Tags

CCSS.HSS.ID.A.3

Data will be collected on the following variables. Which variable can be considered discrete?

• The height of a person

• The weight of a person

• The length of a person’s arm span

• The time it takes for a person to solve a puzzle

• The number of books a person finished reading last month

Answer explanation

Roger claims that the two statistics most likely to change greatly when an outlier is added to a small data set are the mean and the median. Is Roger’s claim correct?

• Yes, both the mean and median are likely to change greatly.

• No, only the mean is likely to change greatly.

• No, only the median is likely to change greatly.

• No, neither the mean nor the median are likely to change greatly.

• There is not enough information to determine if the mean or the median is likely to change greatly.

Answer explanation

The following list shows the selling prices of 8 houses in a certain town. What is the median selling price of the houses in the list?

• $263,200

• $283,300

• $288,450

• $290,600

• $293,400

Answer explanation

Tags

CCSS.6.SP.B.5C

The following list shows the number of video games sold at a game store each day for one week. 15, 43, 50, 39, 22, 16, 20 Which of the following is the best classification of the data in the list?

• Categorical and continuous

• Quantitative and continuous

• Categorical and discrete

• Quantitative and discrete

• Neither categorical nor quantitative, and neither discrete nor continuous

Answer explanation