Inference Data and Statistics

A coin was tossed 80 times, out of which it landed on heads 60 times. What is the relative frequency of the coin toss resulting in tails?

• 20%

• 25%

• 50%

• 75%

Kris has a bag that contains only red marbles, green marbles, and purple marbles. Kris pulls a marble from the bag, records the color of the marble and puts it back in the bag. She performs 25 pulls and draws 8 red marbles, 12 green marbles, and 5 purple marbles. Based on the data, about how many times would Kris pull a red marble if she performed 1,000 pulls?

• 200

• 320

• 330

• 470

What is the difference in the IQRs?

• 1

• 2

• 3

• 4

Find the Mean. 

• 5.8

• 5

• 5.6

• 6

Patrick plays football for his middle school. The table below shows Patrick's rushing yards for the first five games of the season.

Which measure of central tendency would best represent Patrick's rushing yards during the first five games of the season?

• The mean. Because it is 25 yards higher than the median.

• The mean. Because it shows how many yards Patrick averages each game.

• The median. Because it is 25 yards higher than the mean.

• The median. Because the mean is influenced by an outlier number.

Use the information in the table to answer the question. The table shows the points scored for 3 basketball players in 5 games. Which statement is true?

• All 3 players have the same mean score.

• All 3 players have the same median score.

• Cheryl has the highest median score.

• Michael has the highest mean score.

An inventor built a machine to sort apples by weight. She then used the machine to sort apples from 2 different orchards. The results are shown in the plots. Each dot represents 20 apples.

Which statement about the 2 samples is true?

• The sizes of the apples from Orchard A tend to be larger and less consistent than the sizes of the apples from Orchard B.

• The sizes of the apples from Orchard A tend to be smaller and more consistent than the sizes of the apples from Orchard B.

• The sizes of the apples from Orchard A tend to be smaller and less consistent than the sizes of the apples from Orchard B.

• The sizes of the apples from Orchard A tend to be larger and more consistent than the sizes of the apples from Orchard B.

The table shows the number of pepperoni and sausage pizzas sold by a local restaurant over a 5 day week. Part A: Calculate the median number of pepperoni pizzas sold and show your work. Part B: Calculate the median number of sausage pizzas sold and show your work. Part C: What is the difference between the median number of pepperoni pizzas sold and the median number of sausage pizzas sold?

• 1

• 2

• 3

• 4

Based on the data, which statement is true?

• The data from both months have the same median, and August has a higher mean.

• The data from both months have the same median, and July has a higher mean.

• The data from August has both a higher median and a higher mean.

• The data from July has a higher median, and the mean is the same.

A teacher analyzed the data from her class's recent tests by creating a box-and-whisker plot.

Which statement about the data is true?

• The median math score is 85.

• The upper quartile reading value is 98.

• Fifty percent of the math scores were between 70 and 85.

• Twenty-five percent of the reading scores were between 67 and 91.