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  1. Problems
  2. /Statistics Basics

Statistics Basics

Statistics & Data Science
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60 problems
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1.
Find the mean temperature of the first 10 days and of the last 10 days.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode, Spread of Data, Probability and ChanceStemPy LabStemPy Lab
Hard
2.
The 10 rainy days had a total of 285 °C, and the 20 dry days a total of 637 °C.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode, Spread of Data, Probability and ChanceStemPy LabStemPy Lab
Hard
3.
The chance of a rainy day is 1/3. If the days did not affect each other, what would be the chance…
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode, Spread of Data, Probability and ChanceStemPy LabStemPy Lab
Hard
4.
Call a day "very hot" if its highest temperature is 34 °C or more.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode, Spread of Data, Probability and ChanceStemPy LabStemPy Lab
Medium
5.
Estimate the chance of rain from the first 15 days only.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode, Spread of Data, Probability and ChanceStemPy LabStemPy Lab
Medium
6.
The second week of the month, days 8 to 14, had the highest temperatures 29, 28, 30, 32, 33, 35, 34…
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode, Spread of Data, Probability and ChanceStemPy LabStemPy Lab
Hard
7.
Find the range and the interquartile range of (a) the 20 dry days, (b) the 10 rainy days.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode, Spread of Data, Probability and ChanceStemPy LabStemPy Lab
Medium
8.
Find the mean, the median and the mode of the temperatures on the 10 rainy days.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode, Spread of Data, Probability and ChanceStemPy LabStemPy Lab
Medium
9.
Put the 30 days into groups of two degrees: 26 to 27, 28 to 29, 30 to 31, 32 to 33 and 34 to 35 °C.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode, Spread of Data, Probability and ChanceStemPy LabStemPy Lab
Medium
10.
A weather station records these. Say whether each is numerical or categorical, and then whether it…
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode, Spread of Data, Probability and ChanceStemPy LabStemPy Lab
Easy
11.
A bag holds 4 red, 3 blue and 5 green marbles.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceStemPy LabStemPy Lab
Hard
12.
A fair die is rolled 4 times. Find the probability of at least one six.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceStemPy LabStemPy Lab
Hard
13.
Three fair coins are tossed. List all the outcomes, and find the probability of (a) three heads…
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceStemPy LabStemPy Lab
Medium
14.
Two fair dice are rolled. Find the probability that the sum is (a) 8, (b) 3, (c) 9 or more.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceStemPy LabStemPy Lab
Medium
15.
A coin is tossed 400 times and shows 216 heads.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceStemPy LabStemPy Lab
Hard
16.
A bottle cap is flipped 240 times. It lands top up 168 times.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceStemPy LabStemPy Lab
Medium
17.
A spinner has 10 equal sectors numbered 1 to 10.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceStemPy LabStemPy Lab
Medium
18.
One forecaster says that the chance of a storm tomorrow is 1.3.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceStemPy LabStemPy Lab
Medium
19.
A fair die is rolled once. Find the probability of (a) a prime number, (b) a multiple of 3, (c) not…
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceStemPy LabStemPy Lab
Easy
20.
A bag holds 4 red, 7 blue and 9 green marbles.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceStemPy LabStemPy Lab
Easy
21.
A box plot of some test marks has the five numbers: smallest 18, Q1 27, median 34, Q3 40 and…
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of DataStemPy LabStemPy Lab
Medium
22.
The values 2, 6, 10, 14 have a mean of 8.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of DataStemPy LabStemPy Lab
Hard
23.
Class A has the marks 50, 56, 62, 68, 74.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of DataStemPy LabStemPy Lab
Medium
24.
Find the variance and the standard deviation of 4, 6, 7, 9, 14.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of DataStemPy LabStemPy Lab
Hard
25.
The values are 3, 6, 6, 7, 8, 12, with a mean of 7.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of DataStemPy LabStemPy Lab
Medium
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