Centre and Spread of Data

Name: Centre and Spread of Data
Author: StemPy Lab

A weather office reports the average temperature of a town, but a farmer also wants to know how much the temperature jumps from day to day. Start with the three averages: the mean, the median and the mode, for a short list, a frequency table and grouped data. Then measure the spread with the range, the mean deviation, the variance and the standard deviation. The shortcut and step-deviation methods save work on big tables. It covers the first part of the Indian syllabus unit (NCERT, JEE Main) and the matching topics of A-Level, IB and AP.

3 lessons, about 1 h 30 min3 simulations10 problems3 practice questionsPython in every lesson

Created by StemPy Lab

Course outline (3 lessons)

Lesson 1about 35 min
Mean, median and mode
One number that stands for a whole list is an average. The mean adds and shares, the median is the middle value, and the mode is the most common value. This lesson finds all three for a short list, a frequency table and grouped data, and shows when each one is the right choice.
1 simulation1 practice question2 Python programs3 problems1 Python lab
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Lesson 2about 25 min
Range and mean deviation
Two data sets can have the same mean and look nothing alike. The range gives the full width of the data in one subtraction. The mean deviation gives the average distance of the values from a centre, and it uses every value.
1 simulation1 practice question1 Python program3 problems
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Lesson 3about 30 min
Variance and standard deviation
The variance is the mean of the squared distances from the mean, and the standard deviation is its square root, which has the unit of the data. The shortcut and step-deviation forms find them for big tables, and a sample is treated a little differently in A-Level, IB and AP.
1 simulation1 practice question1 Python program4 problems1 Python lab1 question set1 note
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Centre and Spread of Data: Practice Paper

15 questions · 20 min

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Centre and Spread of Data

Course outline (3 lessons)

Mean, median and mode

Range and mean deviation

Variance and standard deviation

Test Your Learning

Your teacher

Discussion (0)