Statistics Test

Anh is investigating the heights of a group of students:
158cm     172cm      164cm
164cm     167cm      159cm
 What is the range of the heights?

• 13cm

• 14cm

• 164cm

• 330cm

Answer explanation

The range of heights is calculated by finding the difference between the highest and lowest values. In this case, the range is 172cm - 158cm = 14cm, so the correct answer is 14cm.

Find the medians.
Science: _________ Math: __________ 

•  science: 4.5 h; math: 3 h

•  science: 3 h; math: 4.5 h

•  science: 5 h; math: 5 h

•  science: 3.5 h; math: 4 h

Answer explanation

The correct medians are science: 3 h; math: 4.5 h, as the median is the middle value when the data is arranged in ascending order.

The dot plots show the ages of students at two different arcades. Which statement is best supported by the information in the dot plots?

• The range of the age of students at Arcade A is greater than the range of age of students at Arcade B.

• The distribution of the data for Arcade A and Arcade B are approximately symmetrical.

• The median age of students at Arcade A is greater than the median age of students at Arcade B.

• The maximum age at Arcade B is less than the maximum age at Arcade A.

Answer explanation

The median age of students at Arcade A is greater than the median age of students at Arcade B.

Marvin's grades currently in math are 100, 97, 98, 74, and 85. Gavin's grades currently in math are 98, 100, 88, 91, and 65. Which student has the highest mean score?

• Marvin

• Gavin

Answer explanation

Marvin has the highest mean score because his average grade is higher than Gavin's average grade when considering all the grades provided.

Ten fourth-grade girls and ten seventh-grade girls were randomly selected. Their heights, in inches, are recorded below.

4th Grade

56, 47, 54, 51, 53, 58, 48, 54, 46, 53

7th Grade

57, 58, 60, 64, 62, 52, 57, 60, 65, 55

Which grade level has the greatest difference (range) in height?

• 4th Grade

• 7th Grade

Answer explanation

The 4th Grade has the greatest difference in height (range) as the range of heights in 4th Grade is 12 inches (58-46) while the range in 7th Grade is 13 inches (65-52).

If 44 values were used for the data, about how many data values are greater than the 1st quartile?

• 11

• 22

• 33

• 128

Which is NOT ture?

• The spreads of the low temperatures for Reybold and Picktown are not the same

• Neither box plot is symmetrical

• The median low temeratures for Reybold and Picktown are different

• The lower extreme for Picktown is approximately 5 degrees lower than the lower extreme for Reybold

A recent survey of 800 seventh graders from across the state shows 4 out of 10 like to play paper football. How many students said they like to play paper football?

• 40 students

• 200 students 

• 320 students

• 8,000 students

Terry made the dot plot above to chart the amount of time, in minutes, that it took students to eat breakfast in the morning. How many students took 5 or more minutes to eat their breakfast?

• 11

• 12

• 14

• 16

Mrs. Debenport surveyed 8 random band members and found that 3 members play more than one instrument. Use her results to predict how many of Meadow Glen's 152 band members play more than one instrument.

• 3/8

• 57

• 95

• 405