Data Analysis- Chap 1 MC

Of the following dotplots, which represents the set of data that has the greatest standard deviation?

• (A)

• (B)

• (C)

• (D)

• (E)

A graph (not shown) of the selling prices of homes in a certain city for the month of April reveals that the distribution is skewed to the left. Which of the following statements is the most reasonable conclusion about the selling prices based on the graph?

• (A) The mean is greater than the median.

• (B) The median is the average of the first quartile and the third quartile.

• (C) There are fewer selling prices between the first quartile and the median than there are between the median and the third quartile.

• (D) There are more selling prices that are less than the mean than selling prices that are greater than the mean.

• (E) The value of maximum minus third quartile is less than the value of first quartile minus minimum.

A random sample of 374 United States pennies was collected, and the age of each penny was determined. According to the boxplot below, what is the approximate interquartile range (IQR) of the ages?

• (A) 8

• (B) 10

• (C) 16

• (D) 40

• (E) 50

The histogram below displays the times, in minutes, needed for each chimpanzee in a sample of 26 to complete a simple navigational task. It was determined that the largest observation, 93, is an outlier since Q3 + 1.5(Q3 - Q1) = 87.125. Which of the following boxplots could represent the information in the histogram?

• A

• B

• C

• D

• E

Which of the following statistics is defined as the 50th percentile?

• The mean

• The median

• The mode

• The interquartile range

• The standard deviation

Three brands of candy pieces—X, Y, and Z—are made in many colors. Shaela bought one bag of each brand and counted the number of pieces of each color. The graph below shows the relative frequency distribution of colors for each bag. Which of the following statements must be true?

• For Brand X, there were more green candy pieces than red candy pieces in the bag.

• For Brand Y, there were more red candy pieces than green candy pieces in the bag.

• There were more green candy pieces in the Brand X bag than were in the Brand Z bag.

• There were the same number of blue candy pieces in the Brand X bag as were in the Brand Y bag.

• The number of blue candy pieces in the Brand Z bag was equal to the sum of the number of blue candy pieces in the other two bags.

For the three histograms above, which of the following correctly orders the histograms from the one with the smallest proportion of data above its mean to the one with the largest proportion of data above its mean?

• J, K, L

• J, L, K

• K, L, J

• L, K, J

• All three histograms have the same proportion of data above their respective means.

Data were collected on the number of text messages sent by each student in a large high school for one day. Based on the boxplot, which of the following statements is the most reasonable conclusion?

• There are more students with data values below the median than there are students with data values above the median.

• There are more students with data values between the first quartile and the median than there are students with data values between the median and the third quartile.

• There are fewer students with data values between the first quartile and the median than there are students with data values between the median and the third quartile.

• There are approximately the same number of students with data values between the first quartile and the minimum as there are students with data values between the third quartile and the maximum.

• The data are less spread out between the first quartile and the median than between the median and the third quartile.

The prices, in thousands of dollars, of the 35 used cars at a certain car dealership are shown in the table below. Which of the following best describes the shape of the distribution of used car prices at the dealership?

• Skewed to the left (negatively skewed)

• Skewed to the right (positively skewed)

• Bimodal

• Uniform

• Approximately normal

The boxplots shown above summarize two data sets, I and II. Based on the boxplots, which of the following statements about these two data sets CANNOT be justified?

• The range of data set I is equal to the range of data set II.

• The interquartile range of data set I is equal to the interquartile range of data set II.

• The median of data set I is less than the median of data set II.

• Data set I and data set II have the same number of data points.

• About 75% of the values in data set II are greater than or equal to about 50% of the values in data set I.