STATS 1.3-1.6

The following frequency table shows the responses from a group of college students who were asked to choose their favorite flavor of ice cream.

Which of the following statements is not supported by the table?

• The number of student responses is 300.

• One-third of the students chose vanilla.

• One-third of the students chose chocolate or strawberry.

• One-fourth of the students chose mint chip or coffee.

• One-half of the students chose vanilla or chocolate.

A market researcher asked a group of men and women to choose their favorite color design from a sample of advertisements. The results are shown in the following table.

Which of the following statements is not supported by the table?

• More men than women chose the color design red with black.

• More women than men chose the color design yellow with black.

• For men, the number who chose a design with black was greater than the number who chose a design with blue.

• The color design chosen by the most people was green with blue.

• The total number of men surveyed by the market researcher was equal to the total number of women surveyed by the market researcher.

In a certain school district, students from grade 6 through grade 12 can participate in a school-sponsored community service activity. The following bar chart shows the relative frequencies of students from each grade who participate in the community service activity.

Which of the following statements is supported by the bar chart?

• The greatest number of participating students was in grade 9.

• The number of participating students in grade 6 was equal to the number of participating students in grade 7.

• The relative frequency of all participating students in grades 6 and 7 combined was 0.60.

• Grade 12 had the least relative frequency of participating students.

• Grade 11 had the greatest relative frequency of participating students.

A child psychologist asked 100 five year olds and 50 ten year olds to name their favorite color. Their results are shown in the following table.

Which of the following statements is supported by the table?

• The percentage of five year olds who selected red or blue as their favorite color is greater than the percentage of ten year olds who selected red or blue as their favorite color

• The percentage of five year olds who selected yellow as their favorite color is greater than the percentage of ten year olds who selected yellow as their favorite color.

• The percentage of children who selected red, yellow, or blue as their favorite color was equal for both ages.

• Less than half of the five year olds selected red, yellow, or blue as their favorite color.

• Less than half of the ten year olds selected red, yellow, or blue as their favorite color.

The pie chart summarizes the results of a survey given to airlines about the primary reason for flight delays.

Which of the following statements is supported by the pie chart?

• The reason given most frequently was runway closure.

• More delays were caused by weather than by all other reasons combined.

• More delays were caused by runway closure than were caused by overbooking.

• Overbooking and runway closure accounted for greater than one-fourth of the reasons given for flight delays.

• The combined percentage for other and runway closure was equal to the percentage for overbooking.

Which of the following statements is true about a distribution that appears to have a gap when displayed as a histogram?

• The distribution must have an outlier.

• The distribution has a region between two data values where no data were observed.

• The distribution is approximately normal.

• The distribution cannot be symmetric.

• The distribution must be bimodal.

The following histogram summarizes the amount spent on plane tickets to travel home, in dollars, for a group of 30 college students.

If the interval size is decreased from $200 to $100, which of the following must remain the same on the new histogram?

• The heights of the bars

• The widths of the bars

• The number of bars

• The sum of the frequencies

• The shape of the distribution

Which of the following histograms has a shape that is approximately uniform?

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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?

• The mean is greater than the median.

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

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

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

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

Which of the following describes a continuous variable?

• The number of items sold at a craft booth for one day

• The number of apps downloaded from a website one day

• The diameters of the tree trunks at an evergreen farm

• The number of baskets made by a basketball player

• The shoe sizes of all shoes on sale at a department store