BKSB Handling Data and Statistics 2

Question 1

A survey recorded the number of hours 8 students spent studying: 3, 5, 7, 2, 8, 5, 6, 4. What is the median number of hours?

Accepted Answer

5.5

Answer

When sorted (2,3,4,5,5,6,7,8), the median is the average of the 4th and 5th values: (5+5)/2 = 5.5.

Question 2

A bar chart shows that 40 people prefer tea, 25 prefer coffee, and 15 prefer juice. What percentage prefer coffee?

Accepted Answer

31.25%

Answer

Total = 80; coffee percentage = 25/80 × 100 = 31.25%.

Question 3

A frequency table shows scores: 10 appears 3 times, 20 appears 5 times, 30 appears 2 times. What is the mean score?

Accepted Answer

19

Answer

Mean = (10×3 + 20×5 + 30×2) / (3+5+2) = (30+100+60)/10 = 190/10 = 19.

Question 4

Which type of graph is most appropriate for showing how a company's sales changed month by month over one year?

Accepted Answer

Line graph

Answer

A line graph is best for showing trends and changes over a continuous time period.

Question 5

A data set has values: 4, 4, 7, 9, 11. What is the range?

Accepted Answer

7

Answer

Range = highest − lowest = 11 − 4 = 7.

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