Question

D.Draw a histogram for the following data:
Weight (in kg) 40-44
45 - 49
50 - 54
55 - 59
60-64
65-69
Number of students
8
I
12
12
10
6
4​

Answer 1

❏ Correct Question:-

Draw a histogram for the following data:Weight (in kg)

40-44

45 - 49

50 - 54

55 - 59

60-64

65-69

Number of students

2 , 8 , 12 , 10 , 6 , 4

❏ Solution:-

• The given frequency distribution is discontinuous,

• To Convert it into continuous frequency distribution,

$\therefore correction=\dfrac{\text{Lower limit of one class - Upper limit of previous class}}{2}$

$\therefore correction=\dfrac{45-44}{2}$

$\therefore correction=\dfrac{1}{2}$

$\therefore \boxed{\red{correction=0.5}}$

Now, subtract 0.5 from all the lower limits and add 0.5 to all upper limits.

Continuous frequency distribution table:

$\begin{tabular}{|c|c|c|}\cline{1-3} Clases before & Classes after & Frequency \\\adjustment & adjustment & \\ \cline{1-3} 40-44 & 39.5-44.5 & 2 \\45-49 & 44.5-49.5 & 8 \\50-54 & 49.5-54.5 & 12\\ 55-59 & 54.5-59.5 & 10 \\ 60-64 & 59.5-64.5 & 6\\ 65-69 & 64.5-69.5 & 4 \\ \cline{1-3}\end{tabular}$

The Histogram (see in the fig)

$\setlength{\unitlength}{1 cm}\begin{picture}(12,4)\thicklines\put(0.9,8.8){ Y }\put(8.8,0.9){ X }\put(0.5,0.5){ (0,0) }\put(1,1){\circle*{0.1}}\put(1.2,1){\circle*{0.2}}\put(1.4,1){\circle*{0.2}}\put(1.6,1){\circle*{0.2}}\put(1.8,1){\circle*{0.2}}\put(1,1){\line(1,0){7.5}}\put(1,1){\line(0,1){7.5}}\put(8,0.9){\line(0,1){0.2}}\put(2,0.9){\line(0,1){0.2}}\put(3,0.9){\line(0,1){0.2}}\put(4,0.9){\line(0,1){0.2}}\put(5,0.9){\line(0,1){0.2}}\put(6,0.9){\line(0,1){0.2}}\put(7,0.9){\line(0,1){0.2}}\put(0.9,8){\line(1,0){0.2}}\put(0.9,2){\line(1,0){0.2}}\put(0.9,3){\line(1,0){0.2}}\put(0.9,4){\line(1,0){0.2}}\put(0.9,5){\line(1,0){0.2}}\put(0.9,6){\line(1,0){0.2}}\put(0.9,7){\line(1,0){0.2}}\put(1.7,0.5){ 39.5 }\put(2.7,0.5){ 44.5 }\put(3.7,0.5){ 49.5 }\put(4.7,0.5){ 54.5 }\put(5.7,0.5){ 59.5 }\put(6.7,0.5){ 64.5 }\put(7.7,0.5){ 69.5 }\put(0.6,1.9){ 2 }\put(0.6,2.9){ 4 }\put(0.6,3.9){ 6 }\put(0.6,4.9){ 8 }\put(0.5,5.9){ 10 }\put(0.5,6.9){ 12 }\put(0.5,7.9){ 14 }\put(2,1){\line(0,1){1}}\put(3,1){\line(0,1){4}}\put(4,1){\line(0,1){6}}\put(5,1){\line(0,1){6}}\put(6,1){\line(0,1){5}}\put(7,1){\line(0,1){3}}\put(8,1){\line(0,1){2}}\put(2,2){\line(1,0){1}}\put(3,5){\line(1,0){1}}\put(4,7){\line(1,0){1}}\put(5,6){\line(1,0){1}}\put(6,4){\line(1,0){1}}\put(7,3){\line(1,0){1}}\end{picture}$

Here ,,,,

Along X axis = Weight in Kg.

Along Y axis = No. of Students.

Answer 2

Step-by-step explanation:

Done

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