Class 11 Applied Maths Chapter 13 (Ex – 13.4)

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Class 11 Applied Maths Chapter 13 Solutions

Descriptive Statistics

EXERCISE- 13.4

Q.1 Find the percentile rank of score 5 in the given data:

3, 2, 5, 11, 3, 9, 7

Ans. Ascending order = 2, 3, 3, 5, 7, 9, 11

Using P (R) = (L + 0.5 x E)/N x 100

= (3 + 0.5 x 1)/7 x 100

= (3 + 0.5)/7 x 100

= 3.5/7 x 100

= 350/7

= 50

Q.2 The scores of the screening test conducted by a company for the past os manager are given below:

48, 37, 35, 46, 39, 55, 89, 67, 55, 46

Find the percentile rank of score 55.

Ans. Ascending order = 35, 37, 39, 46, 46, 48, 55, 55, 67, 89

Using P (R) = (L + 0.5 x E)/N x 100

Here, L = 6, E = 2, N = 10

= (6 + 0.5 x 2)/10 x 100

= (6 + 1)/10 x 100

= 7/10 x 100

= 0.7 X 100

= 70

Q.3 20 students are taking an exam. A and B are two students among these 20 students and both have ranking 10. Find the percentage rank of A.

Ans. Using P (R) = (L + 0.5 x E)/N x 100

Here, L = 9, E = 2, N = 20

= (9 + 0.5 x 2)/20 x 100

= (9 + 1)/20 x 100

= 10/20 x 100

= 50

Q.4 The table given below shows the scores of 40 students in a MCQ test:

Test score	23	25	28	29	33	39	40	42	45	50
No. of students	7	4	3	5	2	6	7	2	3	1

Find the percentile rank of these scores

(i) 39 (ii) 42 (iii) 45

Ans.

Test score	23	25	28	29	33	39	40	42	45	50
No. of students	7	4	3	5	2	6	7	2	3	1
CF	7	11	14	19	21	27	34	36	39	40

(i) 39

Using P (R) = (C + 0.5 x f)/N x 100

Here, C = 21, f = 6, N = 40

= (21 + 0.5 x 6)/40 x 100

= (21 + 3)/40 x 100

= 24/40 x 100

= 60

(ii) 42

Using P (R) = (C + 0.5 x f)/N x 100

Here, C = 34, f = 2, N = 40

= (34 + 0.5 x 2)/40 x 100

= (34 + 1)/40 x 100

= 35/40 x 100

= 87.5

(iii)45

Using P (R) = (C + 0.5 x f)/N x 100

Here, C = 36, f = 3, N = 40

= (36 + 0.5 x 3)/40 x 100

= (36 + 1.5)/40 x 100

= 37.5/40 x 100

= 93.75

FAQ’s related to Class 11 Applied Maths Chapter 13 on Descriptive Statistics:

Q.1 What is Descriptive Statistics?

Ans. Descriptive Statistics involves methods for summarizing and organizing the information in a data set. This includes measures of central tendency (mean, median, mode) and measures of variability (range, variance, standard deviation).

Q.2 What are Measures of Central Tendency?

Ans. Measures of central tendency are statistical metrics used to determine the center or typical value of a data set. They include:

• Mean: The average of all data points.
• Median: The middle value when data points are ordered.
• Mode: The most frequently occurring value(s) in the data set.

These are a few Frequently Asked Questions relating to Class 11 Applied Maths Chapter 13

In Class 11 Applied Maths chapter 13, you will explore fascinating topics that form the backbone of practical problem-solving techniques. Through clear explanations, illustrative examples, and step-by-step solutions, you’ll grasp complex concepts effortlessly. Whether you’re preparing for exams or simply eager to deepen your mathematical understanding, Class 11 Applied Maths Chapter 13 promises an enriching learning experience that will set you on the path to success. Class 11 Applied Maths Chapter 13, we delve deep into advanced mathematical concepts that are crucial for understanding.