Ten brain-bending questions on means, samples, histograms, IQR, and other things that look scary until you remember they're just numbers in costumes.
The stem-and-leaf plot shows the number of push-ups completed in PE class by a sample of boys and girls. What is the mean for each data set, rounded to the nearest whole number?
| Boys | Stem | Girls |
|---|---|---|
| 8 5 | 1 | 0 2 5 |
| 7 6 4 | 2 | 1 3 |
| 9 2 | 3 | 5 8 |
Key: 8 | 1 | 0 = 18 and 10
The histogram shows the hours of TV watched per week by 30 students. Which statement is TRUE?
A baker is preparing 200 cupcakes for a wedding. To check the sweetness, she randomly tastes 8 cupcakes (tough job, somebody's gotta do it) and decides they're perfect. Fill in the blanks:
Mr. Patel wants to know which school lunch is most popular. He needs a sample of 30 students. Which of the following are random samples?
A survey of 4,500 middle schoolers showed that 3 out of 5 students prefer pizza over tacos. (Bold choice. Tacos are amazing.) How many students surveyed prefer pizza?
You give a survey to your soccer team asking how many goals each player scored last season. A national sports league later decides to use your team's results to estimate the average number of goals scored by all middle school soccer players in the country. What is the population for this problem?
Two sets of data are graphed on the dot plot below. Set 1 is shown with circles (●), Set 2 with X marks. What observation can you make about the two data sets?
Which back-to-back stem-and-leaf plot correctly represents the data sets shown below?
| Set A | Set B |
|---|---|
| 23 | 19 |
| 27 | 25 |
| 35 | 33 |
| 41 | 36 |
| 48 | 47 |
| 52 | 54 |
| Set A | Stem | Set B |
|---|---|---|
| 1 | 9 | |
| 7 3 | 2 | 5 |
| 5 | 3 | 3 6 |
| 8 1 | 4 | 7 |
| 2 | 5 | 4 |
| Set A | Stem | Set B |
|---|---|---|
| 9 | 1 | |
| 5 | 2 | 7 3 |
| 3 6 | 3 | 5 |
| 7 | 4 | 8 1 |
| 4 | 5 | 2 |
| Set A | Stem | Set B |
|---|---|---|
| 1 | 9 | |
| 3 7 | 2 | 5 |
| 5 | 3 | 3 6 |
| 1 8 | 4 | 7 |
| 2 | 5 | 4 |
| Set A | Stem | Set B |
|---|---|---|
| 1 | 9 | |
| 7 3 | 2 | 5 |
| 5 | 3 | 6 3 |
| 8 1 | 4 | 7 |
| 2 | 5 | 4 |
Maya wants to know which TV shows are most popular among teenagers in her town. She decides to survey the first 20 people leaving the gym on Saturday morning. Which statements about her sample are true?
Mr. Lee recorded the minutes he spent on his phone each day for two weeks. The results are shown. What is the IQR (Interquartile Range) for each week?
| Week 1 | Week 2 |
|---|---|
| 22 35 18 41 29 38 25 | 30 42 28 35 19 51 33 |