London School of Commerce Numeracy and Data Analysis Exam Solution

This document presents a comprehensive solution to a Numeracy and Data Analysis exam, specifically for the BABS Foundation Level at the London School of Commerce in association with the University of Suffolk. The solution covers both Part A and Part B questions, addressing various topics including calculations involving fractions and exponents, percentage calculations, probability, statistical measures (mean, mode, median, range, and standard deviation), and data interpretation. Part A includes calculations and problem-solving exercises, while Part B delves into data types, sampling techniques, and the concept of normal distribution. The assignment emphasizes practical applications of probability distributions in business decision-making, particularly in sales forecasting. The solution is handwritten as per the instructions and provides detailed steps and answers to all the questions.

PART A
Question 1:
I.
a) 750 ÷ (4 2 + 3 2) (4 × 2 + 4)
= 700 ÷ (25) (12)
= 700 ÷ 300
= 2.33
b) (900 ÷ 152) (220 ÷ 11)
= (4) (20)
= 80
c) 480 ÷ 6 (3 + 2 × 2) – 215
= 480 ÷ 6 × 7 – 215
= 480 × 1/42 – 215
= 11.43 - 215
= -203.57
d) 2 × [452 ÷ (10 × 34)]
= 2 × [2025÷ 810]
= 2 × 2.5
= 5
e) [200 ÷ (6 + 4)] ÷ 2 + 15 – 8 + [(22× 2) 2]
= [200 ÷ 10] ÷ 9 + 16
= 20 ÷ 25
= 0.8
= 112
II.
a) 260
b) 64
c) -17

III.
a) 0.96
b) 0.38
c) 9.83
IV.
a) Total percentage of black cars = 100% – 54% = 46%
Hence, total blue cars produced will be 46% of 85658= 39,402.68
b) Data inadequate
V.
a) A= £132300
B = £75600
C = £37800
D = £113400
b) X = £60,000; Z = £30,000
Total Investment = £135,000
VI.
Many firms include uncertainty and probability into their decision-making processes. Probability
models may be extremely beneficial to organizations in terms of optimizing policies and making
sound judgments. Despite their complexity, these probability approaches can help a company's
profitability and success. In business, one practical use of probability distributions and scenario
analysis is to forecast future sales volumes. Although it is nearly difficult to forecast the exact
worth of future sales levels, firms must nevertheless be able to plan for them.
PART B
Question 4
a) Mean
Mean = 47
b) Mode = NA

c) Median = 74.5
d) Range = 21
e) Standard Deviation = 7.136
Question 5
I. Data is any value in the form of numeric either in discrete, random or continuous type.
Information is anything which can be interpreted from the data.
II. Population is the inclusion of all data from specified area. Sample is the small portion of
population data which is taken to analyze the whole population within less time and cost. Larger
the sample size more will be chances of error.
III. A normal distribution is the proper term for a probability bell curve. In a normal
distribution the mean is zero and the standard deviation is 1. It has zero skew and a kurtosis of
3. Normal distributions are symmetrical, but not all symmetrical distributions are normal.
Types of skewed data = Positive, Negative and Zero