Statistics and Data Displays: math test, Grade 6 – download the PDF

1 Statistical questions / 3 pts

Say whether each question is statistical. Justify in one sentence each.

1. How many students in our school ride the bus?
2. How many players are on a basketball team on the court?
3. How many text messages do the students in Grade 6 send per day?

2 Measures of center and range / 4 pts

Nine students counted the books on their shelves: 12, 15, 9, 14, 15, 10, 16, 15, 11. Find the mean, the median, the mode and the range.

3 Five-number summary / 4 pts

Ten runners finished a race in these times (minutes): 4, 6, 7, 9, 10, 12, 13, 15, 16, 20. Give the five-number summary, then find the IQR and the range.

4 Mean absolute deviation / 3 pts

Find the MAD of the data 5, 7, 8, 10, 15.

5 Reading a histogram / 3 pts

The histogram shows the points scored by a team in 20 games.

1. How many games are shown in total?
2. In how many games did the team score fewer than 20 points?
3. What fraction of the games had 30 points or more?

6 Choosing a measure of center / 3 pts

Seven students timed how long they needed to read a page (minutes): 12, 13, 13, 14, 15, 16, 43. Find the mean and the median. Which one better describes a typical time? Explain.