6th Grade DCA 6 Corrections

Which data most likely have variability for one school during a single school year?

• The cost of a slice of cheese pizza each day.

• The amount of time for a lunch period each day.

• The library fee for the first day a book is overdue.

• The number of students absent each day.

Answer explanation

The number of students absent each day is likely to vary due to factors like illness or events, making it the most variable data. In contrast, the other options are more consistent and do not fluctuate daily.

The histogram shows the total number of swimmers in different age groups who participated in a swimming competition. Based on the histogram, which statement is true?

• There were 15 swimmers who were younger than 30 years old.

• A total of 10 swimmers were 50 years old or older.

• The number of swimmers who were 40 or older is less than the number of swimmers who were 29 or younger.

• A total of 70 swimmers participated in the competition.

Answer explanation

The histogram indicates that there are 15 swimmers younger than 30 years old, confirming the first statement as true. The other statements do not align with the data presented in the histogram.

How would you describe the shape of the data shown below?

• Skewed Right

• Skewed Left

• Symmetrical

• Uniform

Answer explanation

The data is described as symmetrical because it has a balanced distribution around a central point, with equal frequencies on both sides. This indicates that the data does not skew to the left or right.

The data below represents the number of books read by nine students in a book read-a-thon. A tenth student was in the book read-a-thon. This student read a number of books that is considered an outlier of the data shown. Which of the following is the most likely number to be an outlier of books the student read?

• A. 22

• B. 28

• C. 32

• D. 54

Answer explanation

The outlier is a value significantly higher or lower than the rest. Given the choices, 54 is much higher than typical book counts, making it the most likely outlier compared to the other options.

What would happen to the mean number of pancake orders if the outliers in this data were removed?

• The mean would stay the same.

• The mean would decrease.

• The mean would increase.

• The mean would double.

Answer explanation

Removing outliers, which are extreme values, typically lowers the mean. If the outliers were high pancake orders, their removal would decrease the overall mean number of orders.

What is the mean age of the students in the dance class, rounded to the nearest tenth?

• A. 11.5

• B. 12

• C. 12.5

• D. 12.9

Answer explanation

To find the mean age, sum the ages of all students and divide by the number of students. The calculation results in 12.5, which is the correct answer, rounded to the nearest tenth.

The data below represents the number of hours each volunteer worked at a weekend fair. 12 9 8 9 15 8 8 Using the math terms: mean, median, mode, and range, label each value with the correct term.

• 7=Range

  8=Mode

  9=Median

  10=Mean

• 7=Mode

  8=Median

  9=Mean

  10=Range

• 7=Median

  8=Mean

  9=Range

  10=Mode

• 7=Mean

  8=Range

  9=Mode

  10=Median

Answer explanation

The range is 7 (15-8), the mode is 8 (most frequent), the median is 9 (middle value), and the mean is 10 (average). Thus, the correct labels are: 7=Range, 8=Mode, 9=Median, 10=Mean.

The data below represents the number of bags of dog food sold at a small pet store each month during the year. What is the relationship between the mean and median of the data? The mean is _________ the median.

• equal to

• less than

• greater than

• one-half

Answer explanation

In this data set, the mean and median are equal, indicating a symmetrical distribution of the number of bags sold. Therefore, the correct choice is that the mean is equal to the median.

Which data set has the smallest range?

• 101, 5, 101, 98, 17

• 45, 30

• 250, 228, 250, 255

• 45, 42, 43, 45, 50, 43

Answer explanation

To find the range, subtract the smallest number from the largest in each set. The set '45, 42, 43, 45, 50, 43' has a range of 8 (50-42), which is smaller than the ranges of the other sets.

The dot plot below represents the number of goals scored per game by Sarah’s team in 10 soccer games during the season. What is the range of the number of goals scored per game?

• A. 2

• B. 3

• C. 7

• D. 10

Answer explanation

The range is calculated by subtracting the minimum goals scored from the maximum. If the minimum is 1 and the maximum is 8, the range is 8 - 1 = 7. Thus, the correct answer is C. 7.