Page 130 - Data Science class 10
P. 130

• Weather Forecasting: If a weather forecaster is analysing the low temperatures' forecast for three different
          cities, a low standard deviation will always indicate a reliable weather forecast.


          Activity         4


           What is the average family size of households of each student in your school?
           Consider that your school head wants to calculate the average family size of students in your school. To
           carry out this activity at a large scale, let us first break it down into smaller sub parts.
           Thus, to start with, we will ask teachers to take our family size of students of each classroom. We need to
           get an answer to the following questions over here:
              1.  What is the intended population? (Households of students in each teachers’ class)
              2.  The variable to be measured (The number of people in a household)
              3.  Anticipating variability (Asking about typical household sizes)
           Let us now move ahead and start getting answers to these questions step by step.
           Collect/Consider Data
           Suppose the teacher decides to work with five students at a time in the classroom and asks each student,
           “How many people, including yourself, are in the household that you live in?”. As an answer to this, each
           student represents their family size with a collection of snap cubes.
           The data for “family size” is represented with snap cubes in figure given below.














                                            Snap cube stacks representing family size
           Analyse the Data
           To examine the distribution of the household size of the collected data, students first need to arrange the
           stacks of snap cubes in increasing order as shown in the figure given below.
           You must have realised that family sizes vary. The next question that we need to ask is, How many people
           would be in each family if all five families were the same size?














                                             Ordered stacks representing family size
           When we make all the family sizes the same, family size does not vary. You may use two equivalent
           approaches:
           1.   Disconnect all the snap cubes and redistribute them one at a time to the five students until all snap
             cubes have been allocated. In this case, there are 15 snap cubes. Redistributing them among the five
             students yields 5 stacks of 3 cubes each.



          128   Touchpad Data Science-X
   125   126   127   128   129   130   131   132   133   134   135