Statistics | Class 10 | Practice Set 6.1

Statistics | Class 10 | Practice Set 6.1

Statistics Class 10 Practice Set 6.1 all the examples solved and the pdf file is attached at the end of this article.

In this practice set the mean of the data is determined by using three methods.

1. Direct Method
2. Assumed mean method
3. Step division method

Also read : Quadratic equations class 10 problem set 2

In direct method the product of class mark and frequency gives the values of ‘fixi’ and summation of all the values of ‘fixi’ are used in the formula for finding mean of the data. Mean is found out by dividing the value of summation ‘fixi’ with the value of summation ‘fi’.

In assumed mean method any value of class mark is assumed as mean, normally the value in the middle of the table is taken as the assumed mean and the values of deviation ‘di’ are found out by using the formula ‘di = xi – A’. Then the product of frequency and deviation gives us the values of ‘fidi’. Mean is found out by dividing the value of summation ‘fidi with summation ‘fi’ and then adding it with the value of assumed mean.

Also read : Linear equations in two variables class 10 problem set 1

In step division method again any value of class mark is assumed as the mean and the values of deviation ‘di’ is found out in same way as in case of assumed mean method. The value of ‘ui’ is determined by dividing the value of ‘di’ with the the value of class interval. The product of frequency and ‘ui’ gives us the values of ‘fiui’. The value of mean is found out by dividing the value of summation ‘fiui’ with the value of summation ‘fi’ and multiplying with the value of class interval. The answer of this is then added into the value of assumed mean to get the final answer.

Also read : Quadratic equations class 10 practice set 2.6

Practice Set 6.1

1. The following table shows the number of students and the time they utilized
   daily for their studies. Find the mean time spent by students for their studies by
   direct method.
2. In the following table, the toll paid by drivers and the number of vehicles is shown.
   Find the mean of the toll by ‘assumed mean’ method.
3. A milk centre sold milk to 50 customers. The table below gives the number of
   customers and the milk they purchased. Find the mean of the milk sold by direct
   method.
4. A frequency distribution table for the production of oranges of some farm owners
   is given below. Find the mean production of oranges by ‘assumed mean’ method.
5. A frequency distribution of funds collected by 120 workers in a company for the
   drought affected people are given in the following table. Find the mean of the funds
   by ‘step deviation’ method.
6. The following table gives the information of frequency distribution of weekly
   wages of 150 workers of a company. Find the mean of the weekly wages by ‘step
   deviation’ method.
   Production
   (Thousand rupees)
   25-30 30-35 35-40 40-45 45-50
   No. of farm owners 20 25 15 10 10
   Fund (Rupees) 0-500 500-1000 1000-1500 1500-2000 2000-2500
   No. of workers 35 28 32 15 10
   Weekly wages (Rupees) 1000-2000 2000-3000 3000-4000 4000-5000
   No. of workers. 25 45 50 30

Practice-Set-6.1