Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5

Q.

100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows: 

100 surnames were randomly picked up from a local telephone directory and a frequency  distribution of the number of letters in the English alphabet in the  surnames was found as follows:

(i) Draw a histogram to depict the given information. 

(ii) Write the class interval in which the maximum number of surnames lie.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

(i) Histogram of the given data, 

A random sample of 100 surnames was taken from a local phone book, and the frequency distribution of the letters in the English alphabet was found to be as follows:

Number of letters

Number of surnames

Width of the class

Length of rectangle

1 – 4

6

3

(6 × 2)/3 = 4

4 – 6

30

2

(30 × 2)/2 = 30

6 – 8

44

2

(44 × 2)/2 = 44

8 – 12

16

4

(16 × 2)/4 = 8

12 – 20

4

8

(4 × 2)/8 = 1

On the x-axis, we'll plot the total number of letters, and on the y-axis, the percentage of surnames that occur every two letters.

For the y-axis, we will select a suitable scale of 1 unit Equals 4 surnames.

here classes are continued so we draw the histogram easily

100 surnames were randomly picked up from a local telephone directory and a frequency  distribution of the number of letters in the English alphabet in the  surnames was found as follows:

(ii) Write the class interval in which the maximum number of surnames lie:

The  class interval in which the maximum number of surnames lie is 6 - 8.

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon
100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows: (i) Draw a histogram to depict the given information. (ii) Write the class interval in which the maximum number of surnames lie.