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  1. Problems
  2. /Statistics Basics
  3. /Spread of Data

Spread of Data

Statistics & Data Science
+ Upload a Problem
More in Statistics BasicsData and SamplingTables and GraphsAverages: Mean, Median and ModeSpread of DataProbability and Chance
20 problems
Type:
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 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
12.
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
13.
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
14.
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
15.
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
16.
Nine students need 8, 10, 11, 12, 14, 15, 16, 18 and 70 minutes to reach school.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of DataStemPy LabStemPy Lab
Hard
17.
Find Q1, the median, Q3 and the IQR of 4, 9, 11, 15, 18, 20, 26, 31.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of DataStemPy LabStemPy Lab
Medium
18.
Find Q1, the median, Q3 and the IQR of 5, 8, 12, 15, 19, 23, 30.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of DataStemPy LabStemPy Lab
Medium
19.
Team A scored 68, 71, 70, 72, 69 points in five matches, and team B scored 40, 95, 70, 55, 90.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of DataStemPy LabStemPy Lab
Medium
20.
Six students have the marks 23, 41, 17, 35, 29 and 44. Find the range.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of DataStemPy LabStemPy Lab
Easy