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Do you know what a probability histogram is? A histogram is the representation of the distribution of numerical information. To create a histogram, the first thing you must do is divide the whole range of values into a sequence of intervals and then count how many values fall into each interval. The bins must be adjacent and equal in size. Taking this quiz to test drive your knowledge of histograms would be a learning experience, good luck.
The bar for 40â€“44 is too short
and the bar for 45â€“49 is too tall.
B.
The bar for 50â€“54 is too tall.
C.
The bar for 50â€“54 is too short
and the bar for 55â€“59 is too tall.
D.
The bar for 55â€“59 is too short.
Correct Answer C. The bar for 50â€“54 is too short
and the bar for 55â€“59 is too tall.
6.
Find the mean, median, and mode.
(Round answers to the nearest tenth.)
A.
Mean: 54.6 Median: 55 Mode: 51
B.
Mean: 54.6 Median: 62 Mode: 51
C.
Mean: 55 Median: 54.6 no mode
D.
Mean: 55 Median: 55 no mode
Correct Answer A. Mean: 54.6 Median: 55 Mode: 51
Explanation The mean is calculated by finding the average of all the numbers, which in this case is 54.6. The median is the middle value when the numbers are arranged in ascending order, and in this case, it is 55. The mode is the number that appears most frequently, and in this case, it is 51.
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7.
A.
The value of Q1 is incorrect
B.
The value of the median is incorrect.
C.
The value of Q3 is incorrect.
D.
The boxplot is correct
Correct Answer C. The value of Q3 is incorrect.
8.
A.
The entertainment sector is too small
relative to the groceries sector
B.
The rent sector is too large relative to
the entertainment sector.
C.
The sample size is too small.
D.
The sectors do not add to 100%.
Correct Answer D. The sectors do not add to 100%.
9.
What is the experimental probability that
that the spinner lands on red?
A.
4%
B.
20%
C.
25%
D.
40%
Correct Answer B. 20%
Explanation The experimental probability of an event is determined by conducting an experiment and observing the outcomes. In this case, if the spinner is spun multiple times and it lands on red 20% of the time, then the experimental probability of the spinner landing on red is 20%.
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10.
If Angie spins the spinner 250 times,
predict the number of times it will land
on green.
A.
10
B.
25
C.
50
D.
125
Correct Answer D. 125
Explanation If Angie spins the spinner 250 times, and the spinner has an equal chance of landing on each color, then we can assume that each color will appear the same number of times on average. Since there are 4 colors on the spinner, including green, we can divide 250 by 4 to get the average number of times each color will appear. 250 divided by 4 is 62.5, so each color should appear approximately 62.5 times. However, since we can't have a fraction of a spin, we round up to the nearest whole number, which is 63. Therefore, we can predict that the spinner will land on green approximately 63 times.
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11.
Find the theoretical probability of
randomly choosing a vowel from
the letters in EXPERIMENT
A.
B.
C.
D.
Correct Answer C.
Explanation The theoretical probability of randomly choosing a vowel from the letters in EXPERIMENT can be found by dividing the number of vowels (4) by the total number of letters (10). This is because there are 4 vowels (E, E, I, and E) out of 10 letters in total. Therefore, the theoretical probability is 4/10, which can be simplified to 2/5 or 0.4.
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12.
The probability of picking a red marble from a bag is . What are the odds
against picking a red marble?
A.
2:5
B.
5:2
C.
5:7
D.
7:5
Correct Answer B. 5:2
Explanation The odds against picking a red marble can be calculated by taking the ratio of the number of outcomes that are not picking a red marble to the number of outcomes that are picking a red marble. In this case, the ratio is 5:2, which means that for every 5 outcomes of not picking a red marble, there are 2 outcomes of picking a red marble.
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13.
A number cube is rolled 2 times in a
row. What is the probability of rolling a
multiple of 3 both times?
A.
B.
C.
D.
Correct Answer D.
Explanation The probability of rolling a multiple of 3 on a number cube is 1/3, since there are 3 multiples of 3 (3, 6, and 9) out of the 6 possible outcomes (1, 2, 3, 4, 5, and 6). Since the number cube is rolled 2 times, the probability of rolling a multiple of 3 both times is (1/3) * (1/3) = 1/9.
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14.
A game board has 8 cards, and 2 say
WIN. Mayela picks 2 cards without
replacing the first. What is the probability
that neither say WIN?
A.
B.
C.
D.
Correct Answer B.
Explanation The probability that the first card does not say WIN is 6/8, since there are 6 cards out of 8 that do not say WIN. After picking the first card, there are 7 cards left, and 5 of them do not say WIN. Therefore, the probability that the second card does not say WIN is 5/7. To find the probability that neither card says WIN, we multiply the probabilities together: (6/8) * (5/7) = 30/56 = 15/28.
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15.
From 5 players, 2 are chosen to play the
bonus round. How many different teams
of two are possible? Does the situation
involve permutations or combinations?
A.
10; combinations
B.
20; combinations
C.
20; permutations
D.
60; permutations
Correct Answer A. 10; combinations
Explanation There are 5 players and 2 need to be chosen for the team. Since the order in which the players are chosen does not matter, it involves combinations. The number of different teams of two that can be formed is 10.