Data Interpretation & Statistics — Practice

Question 1

A company's revenue (₹ crore) over 5 years is: 2019: 200, 2020: 250, 2021: 220, 2022: 280, 2023: 300. Find the total revenue across all 5 years and the range (maximum minus minimum).

Accepted Answer

Total $=200+250+220+280+300=1250$. Maximum is 2023 (300), minimum is 2019 (200). Range $=300-200=100$.

Answer: Total = ₹1,250 crore, Range = ₹100 crore.

Question 2

Using the same revenue table, what percentage of the 5-year total does 2022's revenue represent?

Accepted Answer

$\frac{280}{1250}	imes100=22.4\%$.

Answer: 22.4%.

Question 3

Find the mean of: $14, 18, 22, 26, 30$.

Accepted Answer

Sum $=14+18+22+26+30=110$. Mean $=110\div5=22$.

Answer: 22.

Question 4

Find the median of: $9, 4, 15, 7, 11$.

Accepted Answer

Sorted: $4, 7, 9, 11, 15$ (5 values, odd count). The middle value is 9.

Answer: 9.

Question 5

Find the median of: $6, 10, 2, 18, 14, 22$.

Accepted Answer

Sorted: $2, 6, 10, 14, 18, 22$ (6 values, even count). Median $=\frac{10+14}{2}=12$.

Answer: 12.

Question 6

Find the mode of: $5, 8, 5, 3, 5, 9, 8$.

Accepted Answer

5 appears three times, more than any other value (8 appears twice).

Answer: 5.

Question 7

Find the range of: $23, 67, 12, 90, 45$.

Accepted Answer

Maximum $=90$, minimum $=12$. Range $=90-12=78$.

Answer: 78.

Question 8

The mean of 6 numbers is 18. Five of the numbers are 10, 20, 15, 25 and 12. Find the sixth number.

Accepted Answer

Total sum $=18	imes6=108$. Sum of known 5 numbers $=10+20+15+25+12=82$. Sixth number $=108-82=26$.

Answer: 26.

Question 9

One group of 6 numbers has a mean of 25; another group of 4 numbers has a mean of 15. Find the combined mean of all 10 numbers.

Accepted Answer

Combined sum $=6(25)+4(15)=150+60=210$. Combined mean $=\frac{210}{10}=21$.

Answer: 21.

Question 10

Using the revenue table (2019: 200, 2020: 250, 2021: 220, 2022: 280, 2023: 300), find the percentage change for each year from 2019 to 2023 and identify the year of highest growth.

Accepted Answer

2020: $\frac{250-200}{200}	imes100=25\%$. 2021: $\frac{220-250}{250}	imes100=-12\%$. 2022: $\frac{280-220}{220}	imes100\approx27.3\%$. 2023: $\frac{300-280}{280}	imes100\approx7.1\%$.

Answer: 2022 has the highest growth, at approximately 27.3%.

Practice — Data Interpretation & Statistics

Sign in to save attempts to your dashboard and track your accuracy over time

Find a verified tutor

Join a live course

Browse coaching centres

About

Categories

Support

Documentation

Get Study Tips & Updates

Download Our App

Download for iOS

Download for Android

Popular Cities