BKSB Data and Statistical Interpretation 4

Question 1

A data set has values: 5, 8, 8, 12, 15, 15, 15, 20. Which measure of central tendency best represents this data?

Accepted Answer

Mode

Answer

The mode (15) appears most frequently and best describes the most common value in this skewed distribution.

Question 2

A graph shows company profits over 5 years: $20k, $25k, $18k, $30k, $27k. What was the mean annual profit?

Accepted Answer

$24k

Answer

Mean = (20+25+18+30+27) ÷ 5 = 120 ÷ 5 = $24k.

Question 3

A two-way table shows 30 students study French or Spanish in Year 10 or Year 11. 18 study French total, and 16 are in Year 10 total. How many Year 10 students study Spanish if 10 Year 10 students study French?

Accepted Answer

6

Answer

Year 10 total = 16; Year 10 French = 10; Year 10 Spanish = 16 − 10 = 6.

Question 4

The heights of 6 plants (cm) are: 12, 15, 11, 18, 14, 16. What is the median height?

Accepted Answer

14.5 cm

Answer

Ordered: 11,12,14,15,16,18; median = average of 3rd and 4th values = (14+15)÷2 = 14.5 cm.

Question 5

A line graph shows that between March and May, sales dropped from 500 to 350 units. What is the percentage decrease?

Accepted Answer

30%

Answer

Decrease = 500 − 350 = 150; percentage = (150/500) × 100 = 30%.

(BKSB) Basic and Key Skills Builder Practice Test

(BKSB) Basic and Key Skills Builder Practice Test

BKSB Data and Statistical Interpretation 4