Formulas for Bar Charts

October 10, 2019

Formulas of Bar Chart In Data Interpretation

A bar chart represents the data as horizontal or vertical bars. The length of each bar is proportional to the amount that it represents.

There are 3 main types of bar charts.

When constructing a bar chart it is important to choose a suitable scale to represent the frequency.

Sales of Books (in thousand numbers) from Six Branches – Z₁, Z₂, Z₃, Z₄, Z₅ and Z₆ of a publishing Company in 2000 and 2001.

What percent of the average sales of branches Z1, Z2 and Z3 in 2001 is the average sales of branches Z1, Z3 and Z6 in 2000?
Options

(A) 75%
(B) 77.5%
(C) 82.5%
(D) 87.5%

Explanations

Average sales (in thousand number) of branches Z1, Z2 and Z3 in 2001

$\frac{1}{3} \$ × (105 +65 + 110) = $\frac{280}{3} \$

∴ Required Percentage = [{ $\frac{245}{3} \$ / $\frac{280}{3} \$ } × 100 ] %

$\frac{245}{280} \$ × 100 = 87.5%

Total sales of branches Z1, Z3 and Z5 together for both the years (in thousand numbers) is?

Options

(A) 250
(B) 310
(C) 435
(D) 560

Total sales of branches Z1, Z3 and Z5 for both the years (in thousand numbers)

= (80 + 105) + (95 + 110) + (75 + 95)

= 560.

Correct Options (D)

What is the average sales of all the branches (in thousand numbers) for the year 2000 ?

Options

(A) 73
(B) 80
(C) 83
(D) 88

Explanations

Average sales of all the six branches ( in thousand numbers) for the year 2000

= $\frac{1}{6} \$ × [ 80 + 75 + 95 + 85 + 75 + 70]

= 80