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  1. Problems
  2. /Statistics Basics
  3. /Averages: Mean, Median and Mode

Averages: Mean, Median and Mode

Statistics & Data Science
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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.
The values are 4, 6, 6, 7, 12. Find the mean, the median and the mode.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and ModeStemPy LabStemPy Lab
Hard
12.
The monthly rents of seven flats in a building, in thousands of rupees, are 12, 14, 13, 15, 12, 16…
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and ModeStemPy LabStemPy Lab
Hard
13.
Which average, the mean, the median or the mode, would you use for each?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and ModeStemPy LabStemPy Lab
Medium
14.
Find the mean, the median and the mode of 8, 3, 5, 8, 6, 10, 2, 8, 4.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and ModeStemPy LabStemPy Lab
Medium
15.
Eleven students named the instrument they would most like to learn: guitar, drums, flute, guitar…
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and ModeStemPy LabStemPy Lab
Easy
16.
The ages of eight members of a chess club are 13, 16, 12, 15, 14, 18, 11 and 17 years.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and ModeStemPy LabStemPy Lab
Medium
17.
Seven people waited for a bus for 12, 5, 9, 15, 7, 11 and 20 minutes.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and ModeStemPy LabStemPy Lab
Easy
18.
In a quiz, 12 students scored 5 each and 28 students scored 9 each.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and ModeStemPy LabStemPy Lab
Medium
19.
A batsman has a mean of 42 runs over 6 innings.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and ModeStemPy LabStemPy Lab
Medium
20.
A cyclist rode 18 km, 24 km, 15 km, 30 km and 21 km on five days. What is the mean distance a day?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and ModeStemPy LabStemPy Lab
Easy