12 multiple-choice questions, progressively harder.
A frequency table lists each category next to its frequency. What does the frequency tell you?
Solution
Correct answer: C
A frequency table pairs a category (what was counted) with its frequency (how many times it came up).
frequency=how many times the category occurs\text{frequency} = \text{how many times the category occurs}frequency=how many times the category occurs
The category name is the what; the frequency is the how many.
A pictograph uses a key where each star stands for 555 books. A shelf's row shows 333 stars. How many books does that row represent?
Correct answer: A
Each symbol is worth the key's value, so multiply the number of symbols by the key.
3×5=153 \times 5 = 153×5=15
Counting the stars as 333 books would ignore the key.
The bar graph shows how many students chose each fruit. How many chose Banana?
Correct answer: D
Find the Banana bar and follow its top across to the scale on the left.
Banana=8\text{Banana} = 8Banana=8
The bar's top lines up with the 888 gridline.
Which display is best for showing how one quantity changes over time?
Correct answer: B
A line graph plots a quantity against time and joins the points, so its rises and falls show change.
change over time ⇒ line graph\text{change over time} \;\Rightarrow\; \text{line graph}change over time⇒line graph
The circle graph shows favorite foods in a class. Which food has the largest share?
The largest share is the biggest slice, which is also the largest percent.
Pizza=50% (largest)\text{Pizza} = 50\% \text{ (largest)}Pizza=50% (largest)
Pizza fills half the circle, more than Tacos or Salad.
The slices of any circle graph always add up to what?
The whole circle stands for the entire data set, and the slices fill it exactly.
sum of slices=100%\text{sum of slices} = 100\%sum of slices=100%
Every value is counted in exactly one slice, so the parts rebuild the whole.
The bar graph shows how many students chose each fruit. How many more chose Banana than Cherry?
Read both bars, then subtract. Banana is 888 and Cherry is 444.
8−4=48 - 4 = 48−4=4
Because the scale starts at 000, this difference is a fair comparison.
A pictograph of apples picked uses a key where each picture stands for 222 apples. A row has 777 whole pictures. How many apples is that?
Multiply the number of symbols by the key.
7×2=147 \times 2 = 147×2=14
Each picture counts as 222, so 777 pictures is 141414 apples.
The line graph shows daily museum visitors. Between which two days did the number of visitors decrease?
A decrease is a segment that goes downward from left to right. The only falling segment runs from Wednesday to Thursday.
50→30 (a drop of 20)50 \to 30 \text{ (a drop of } 20\text{)}50→30 (a drop of 20)
Every other segment rises.
Which display is best for showing how a whole splits into parts of a whole?
A circle graph uses the whole circle as the total and gives each part a slice.
parts of a whole ⇒ circle graph\text{parts of a whole} \;\Rightarrow\; \text{circle graph}parts of a whole⇒circle graph
A frequency table records 555 red, 888 blue, and 777 green marbles. How many marbles are there in all?
The total is the sum of all the frequencies.
5+8+7=205 + 8 + 7 = 205+8+7=20
Every marble is counted once, so the frequencies add to the total.
The bar graph shows how many students chose each color. How many chose Blue?
Find the Blue bar and read its height off the scale.
Blue=8\text{Blue} = 8Blue=8
Its top lines up with the 888 gridline.
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