## RS Aggarwal Solutions Chapter 14 Statistics Ex 14C in PDF for Free Download

Contents

**Question 1.****The daily wages of 50 workers in a factory are given below :****Solution:**

It is clear that the given frequency distribution is in exclusive form, we represent the daily wages (in rupees) along x-axis and no. of workers along y-axis. Then we construct rectangles with class intervals as bases and corresponding frequencies as heights as shown given below:

**Question 2.****The following table shows the average daily earnings of 40 general stores in a market, during a certain week.****Solution:**

We shall take daily earnings along x-axis and number of stores along y-axis. Then we construct rectangles with the given class intervals as bases and corresponding frequency as height as shown in the graph.

**Question 3.****The heights of 75 students in a school are given below :****Draw a histogram to represent the above data****Solution:**

We shall take heights along x-axis and number of students along y-axis. Then we shall complete the rectangles with the given class intervals as bases and frequency as height and complete the histogram as shown below :

**Question 4.****Draw a histogram for the frequency distribution of the following data.****Solution:**

We shall take class intervals along x-axis and frequency along y-axis Then we shall complete the rectangles with given class interval as bases and frequency as heights and complete the histogram as shown below.

**Question 5.****Construct a histogram for the following frequency distribution.****Solution:**

The given frequency distribution is in inclusive form first we convert it into exclusive form at given below.

Now, we shall take class intervals along x-axis and frequency along y-axis and draw rectangles with class intervals as bases and frequency as heights and complete the histogram as shown.

**Question 6.****The following table shows the number of illiterate persons in the age group (10-58 years) in a town :****Solution:**

**Question 7.****Draw a histogram to represent the following data.****Solution:**

In the given distribution class intervals are different size. So, we shall calculate the adjusted frequency for each class. Here minimum class size is 4. We know that adjusted

frequency of the class is x its frequency

**Question 8.****In a study of diabetic patients in a village, the following observations were noted.****Represent the above data by a frequency polygon.****Solution:**

We shall take two imagined classes one 0-10 at the beginning with zero frequency a id other 70-80 at the end with zero frequency.

Now, plot the points” (5, 0), (15, 2), (25, 5), (35, 12), (45, 19), (55, 9), (65, 4), (75, 0) on the graph and join them its order to get a polygon as shown below.

**Question 9.****The ages (in years) of 360 patients treated in a hospital on a particular day are given below.****Draw a histogram and a frequency polygon on the same graph to represent the above data.****Solution:**

We take Age (in years) along x-axis and number of patients along y-axis. First we complete the histogram and them join the midpoints of their tops in order

We also take two imagined classes. One 0-10 at the beginning and other 70-80 at the end and also join their midpoints to complete the polygon as shown.

**Question 10.****Draw a histogram and the frequency polygon from the following data.****Solution:**

We take class intervals along x-axis and frequency along y-axis.

First we complete the histogram and then join the midpoints of the tops of adjacent rectangles in order. We shall take two imagined classes 15-20 at the beginning and 50-55 at the end.

We also join their midpoints to complete the polygon as shown

**Question 11.****Draw a histogram for the following data:****Solution:**

We represent class interval on x-axis and frequency on y-axis. First we construct the histogram and then join the midpoints of the tops of each rectangle by line segments. We shall take two imagined class i.e. 560-600 at the beginning and 840-900 at the end. Join their midpoints also to complete

**Question 12.****Draw a frequency polygon for the following frequency distribution.****Solution:**

We will take the imagined class 11-0 at the beginning and 61-70 at the end. Each with frequency zero. Thus, we have,

Now we will mark the points A (-5.5, 0), B(5.5, 8), C(15.5, 3) D(25.5, 6), E(35.5, 12), F(45.5, 2), G(55.5, 7) and H(65.5, 0) on the graph and join them in order to get the required frequency polygon.

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