Cumulative Tables & Ogives Quiz (HSS.MD.A.3)

1) What percentage of people read more than 3 books?

15%

30%

26%

70%

(50−35) ÷ 50 = 0.30

Explanation

(50−35) ÷ 50 = 0.30

2) If CDF at 10 minutes is 0.85, what does it mean?

85% waited exactly 10

85% ≤ 10

15% exactly 10

85% > 10

F(10)=P(wait ≤ 10)=0.85

Explanation

F(10)=P(wait ≤ 10)=0.85

3) When constructing a cumulative distribution table:

Subtract freq.

Add to previous total

Divide by total

Multiply by midpoint

Add frequencies cumulatively

Explanation

Add frequencies cumulatively

4) On a cumulative frequency graph, what is the starting point at the lower boundary of the first interval?

0

4

10

14

Cumulative starts at 0

Explanation

Cumulative starts at 0

5) What is the cumulative probability for participants aged 19 or younger?

0.233

0.367

0.467

0.733

11 ÷ 30 ≈ 0.367

Explanation

11 ÷ 30 ≈ 0.367

6) What is the cumulative frequency for participants aged 24 or younger?

11

18

22

28

4 + 7 + 11 = 22

Explanation

4 + 7 + 11 = 22

7) A cumulative frequency graph is also known as:

Histogram

Bar chart

Ogive

Stem-and-leaf

Another name for ogive

Explanation

Another name for ogive

8) Which best describes a cumulative relative frequency?

Obs. in interval

Difference of freq.

Average freq.

Proportion ≤ value

Running proportion

Explanation

Running proportion

9) In a cumulative frequency table, the last entry should equal:

Mode

Median

Total number of observations

Range

Final cumulative = sample size

Explanation

Final cumulative = sample size

10) A cumulative distribution function (CDF) always has values that:

Decrease

Increase or stay constant

Fluctuate

Equal 0.5 at median

CDF is nondecreasing

Explanation

CDF is nondecreasing

11) What is the cumulative frequency for students who studied 8 hours or less?

28

23

15

32

0–2 + 3–5 + 6–8 = 5 + 8 + 15 = 28

Explanation

0–2 + 3–5 + 6–8 = 5 + 8 + 15 = 28

12) In a cumulative frequency graph, the curve should pass through which point for the upper boundary of “2 books”?

(1, 12)

(2, 35)

(3, 35)

(2, 22)

Cumulative at 2 = 22

Explanation

Cumulative at 2 = 22

13) What is the cumulative relative frequency for people who read 3 books or fewer?

0.44

0.70

0.88

1.00

35 ÷ 50 = 0.70

Explanation

35 ÷ 50 = 0.70

14) What is the frequency for people who read 4 books?

6

13

44

9

Frequency at 4 = 44 − 35 = 9

Explanation

Frequency at 4 = 44 − 35 = 9

15) How many people read exactly 2 books?

10

6

12

22

22 − 12 = 10

Explanation

22 − 12 = 10

16) If you were to construct a cumulative distribution function (CDF) table, what would be the cumulative probability for the interval 3–5 hours?

0.125

0.20

0.575

0.325

≤5 hours: 13 ÷ 40 = 0.325

Explanation

≤5 hours: 13 ÷ 40 = 0.325

17) Which interval shows the steepest increase in the cumulative frequency graph?

0–2 hours

3–5 hours

6–8 hours

12–14 hours

6–8 has the largest frequency: 15

Explanation

6–8 has the largest frequency: 15

18) What percentage of students studied 11 hours or less?

92.5%

70%

85%

100%

37 ÷ 40 = 0.925 = 92.5%

Explanation

37 ÷ 40 = 0.925 = 92.5%

19) In a cumulative frequency graph of this data, what should the y-coordinate be at the upper boundary of the 9–11 hours interval?

9

28

37

40

≤11 hours: 5 + 8 + 15 + 9 = 37

Explanation

≤11 hours: 5 + 8 + 15 + 9 = 37

20) What is the cumulative relative frequency (as a decimal) for students who studied 5 hours or less?

0.20

0.325

0.45

0.575

≤5 hours: 5 + 8 = 13; 13 ÷ 40 = 0.325

Explanation

≤5 hours: 5 + 8 = 13; 13 ÷ 40 = 0.325

Constructing Cumulative Distribution Tables and Graphs Quiz

1) What percentage of people read more than 3 books?

2)

What first name or nickname would you like us to use?

2) If CDF at 10 minutes is 0.85, what does it mean?

3) When constructing a cumulative distribution table:

4) On a cumulative frequency graph, what is the starting point at the lower boundary of the first interval?

5) What is the cumulative probability for participants aged 19 or younger?

6) What is the cumulative frequency for participants aged 24 or younger?

7) A cumulative frequency graph is also known as:

8) Which best describes a cumulative relative frequency?

9) In a cumulative frequency table, the last entry should equal:

10) A cumulative distribution function (CDF) always has values that:

11) What is the cumulative frequency for students who studied 8 hours or less?

12) In a cumulative frequency graph, the curve should pass through which point for the upper boundary of “2 books”?

13) What is the cumulative relative frequency for people who read 3 books or fewer?

14) What is the frequency for people who read 4 books?

15) How many people read exactly 2 books?

16) If you were to construct a cumulative distribution function (CDF) table, what would be the cumulative probability for the interval 3–5 hours?

17) Which interval shows the steepest increase in the cumulative frequency graph?

18) What percentage of students studied 11 hours or less?

19) In a cumulative frequency graph of this data, what should the y-coordinate be at the upper boundary of the 9–11 hours interval?

20) What is the cumulative relative frequency (as a decimal) for students who studied 5 hours or less?