Probability and Statistics Basics Quiz

Grade 7 · Math · Quiz

Test your understanding of probability, data displays, mean, median, mode, and range.

Questions

1. A bag has 3 red marbles and 7 blue marbles. What is the probability of picking a red marble?

   1. 3/7
   2. 7/10
   3. 3/10
   4. 1/3
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   Answer: 3/10

   There are 3 red out of 3 + 7 = 10 total marbles. Probability = favorable outcomes / total outcomes = 3/10.

2. What is the mean of the data set: 4, 8, 6, 10, 12?

   1. 6
   2. 8
   3. 10
   4. 9
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   Answer: 8

   Mean = sum ÷ count. (4 + 8 + 6 + 10 + 12) = 40. 40 ÷ 5 = 8.

3. The median of a data set is always the same as the mean.

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   Answer: False

   The mean is the average and the median is the middle value. They are often different, especially when outliers are present.

4. In the data set 5, 9, 3, 9, 7, 5, 9, which value is the mode?

   1. 5
   2. 7
   3. 9
   4. 3
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   Answer: 9

   The mode is the value that appears most often. 9 appears 3 times, more than any other value.

5. What is the range of: 15, 3, 22, 8, 17?

   1. 17
   2. 19
   3. 22
   4. 25
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   Answer: 19

   Range = greatest value − least value. 22 − 3 = 19.

6. An event that is certain to happen has a probability of ___.

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   Answer: 1

   Probability ranges from 0 (impossible) to 1 (certain). A certain event always happens, so its probability is 1.

7. A spinner has 8 equal sections numbered 1-8. What is the probability of landing on an even number?

   1. 1/8
   2. 1/4
   3. 1/2
   4. 3/8
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   Answer: 1/2

   Even numbers on 1-8 are: 2, 4, 6, 8 — that's 4 out of 8 sections. 4/8 = 1/2.

8. A probability of 0 means an event is impossible.

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   Answer: True

   A probability of 0 means there is no chance the event will occur — it is impossible.

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