Interpreting Cumulative Probabilities in Normal Distributions Quiz

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| Questions: 20 | Updated: Nov 16, 2025
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1) What is the cumulative frequency for students who studied 8 hours or less?

Explanation

0–2 + 3–5 + 6–8 = 5 + 8 + 15 = 28

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About This Quiz
Interpreting Cumulative Probabilities In Normal Distributions Quiz - Quiz

This quiz will test your ability to interpret cumulative probabilities in normal distributions. You'll calculate z-scores, estimate cumulative probabilities, and understand how percentiles, standard deviations, and the empirical rule relate to cumulative probabilities in normal distributions.

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

Explanation

≤5 hours: 5 + 8 = 13; 13 ÷ 40 = 0.325

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

Explanation

≤11 hours: 5 + 8 + 15 + 9 = 37

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

Explanation

37 ÷ 40 = 0.925 = 92.5%

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

Explanation

6–8 has the largest frequency: 15

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

Explanation

≤5 hours: 13 ÷ 40 = 0.325

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7) How many people read exactly 2 books?

Explanation

22 − 12 = 10

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

Explanation

Frequency at 4 = 44 − 35 = 9

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

Explanation

35 ÷ 50 = 0.70

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

Explanation

Cumulative at 2 = 22

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

Explanation

(50−35) ÷ 50 = 0.30

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

Explanation

CDF is nondecreasing

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

Explanation

Final cumulative = sample size

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14) Which best describes a cumulative relative frequency?

Explanation

Running proportion

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15) A cumulative frequency graph is also known as:

Explanation

Another name for ogive

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

Explanation

4 + 7 + 11 = 22

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

Explanation

11 ÷ 30 ≈ 0.367

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

Explanation

Cumulative starts at 0

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19) When constructing a cumulative distribution table:

Explanation

Add frequencies cumulatively

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

Explanation

F(10)=P(wait ≤ 10)=0.85

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What is the cumulative frequency for students who studied 8 hours or...
What is the cumulative relative frequency (as a decimal) for students...
In a cumulative frequency graph of this data, what should the...
What percentage of students studied 11 hours or less?
Which interval shows the steepest increase in the cumulative frequency...
If you were to construct a cumulative distribution function (CDF)...
How many people read exactly 2 books?
What is the frequency for people who read 4 books?
What is the cumulative relative frequency for people who read 3 books...
In a cumulative frequency graph, the curve should pass through which...
What percentage of people read more than 3 books?
A cumulative distribution function (CDF) always has values that:
In a cumulative frequency table, the last entry should equal:
Which best describes a cumulative relative frequency?
A cumulative frequency graph is also known as:
What is the cumulative frequency for participants aged 24 or younger?
What is the cumulative probability for participants aged 19 or...
On a cumulative frequency graph, what is the starting point at the...
When constructing a cumulative distribution table:
If CDF at 10 minutes is 0.85, what does it mean?
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