Interpreting Statistical Data (Copy)
1.
The table shows marks of 5 students: 12, 14, 16, 18, 20.
Find the mean mark.
2.
From Q1, find the range of marks.
3.
Two classes have mean test scores: Class A=60, Class B=65. Which class performed better on average?
4.
A pie chart shows time spent in a day: Sleep=8 h, Work=8 h, Leisure=4 h, Other=4 h. What angle represents Sleep?
5.
From Q4, what fraction of the chart represents Leisure?
6.
The bar chart shows sales of fruits: Apple=40, Orange=30, Banana=20. Which fruit is most popular?
7.
From Q6, what is the difference between Apple and Banana sales?
8.
The table shows weekly pocket money of 5 children: 10, 15, 20, 15, 10.
Find the mode.
9.
From Q8, find the median.
10.
Class A scores: 20, 30, 40, 50.
Class B scores: 30, 35, 40, 45.
Which class has the greater range?
11.
From Q10, which class has the higher mean?
12.
A bar chart shows favourite pets: Dog=50, Cat=40, Rabbit=10.
Find the total number of students surveyed.
13.
From Q12, what percentage chose Cat?
14.
Two cricket teams score averages: Team A=250 runs, Team B=230 runs. Which team scores more on average?
15.
From Q14, can we conclude Team A is always better? Explain briefly.
16.
The table shows test scores of 6 students: 10, 20, 20, 30, 30, 40.
Find the mode.
17.
From Q16, find the median.
18.
From Q16, find the mean.
19.
A pie chart shows: Maths=90°, English=60°, Science=120°, Other=90°.
Which subject takes the largest share?
20.
From Q19, what fraction represents English?
21.
A frequency table shows:
Marks 0–10: 4 students,
10–20: 6 students,
20–30: 10 students.
How many students in total?
22.
From Q21, which class interval has the highest frequency?
23.
Two sets of marks:
Set A: Mean=50, Range=30.
Set B: Mean=50, Range=10.
Which set is more consistent?
24.
A bar chart shows rainfall (mm): Jan=20, Feb=40, Mar=60.
Which month had least rainfall?
25.
From Q24, what is the difference between March and Jan rainfall?
26.
The table shows students absent in a week:
Mon=2, Tue=4, Wed=3, Thu=5, Fri=6.
On which day was absence highest?
27.
From Q26, find total absences in the week.
28.
The mean mark of 5 students is 20. What is the total of their marks?
29.
The range of marks is 15, highest mark is 40. Find lowest mark.
30.
Two sets of data have the same mean. Can they still have different ranges? Give an example with numbers.
1.
Mean = (12+14+16+18+20)/5 = 80/5 = 16.
→ Add all marks ÷ number of values.
2.
Range = 20−12 = 8.
→ Largest − smallest.
3.
Class B (65) > Class A (60).
→ On average, Class B did better.
4.
Sleep = (8/24)×360 = 120°.
5.
Leisure = 4/24 = 1/6 of circle.
6.
Most popular = Apple (40).
7.
Difference = 40−20 = 20.
8.
Mode = most frequent value = 10 and 15 (both appear twice).
→ Bimodal.
9.
Arrange: 10,10,15,15,20 → Median = middle = 15.
10.
Class A: Range = 50−20=30.
Class B: Range = 45−30=15.
→ Class A has greater range.
11.
Class A: Mean=(20+30+40+50)/4=140/4=35.
Class B: Mean=(30+35+40+45)/4=150/4=37.5.
→ Class B has higher mean.
12.
Total = 50+40+10=100 students.
13.
% Cat = (40/100)×100= 40%.
14.
Team A mean=250 > Team B=230 → Team A better on average.
15.
No, because a higher average doesn’t guarantee better every match. Spread may differ.
16.
Mode = 20 and 30 (both occur twice).
17.
Ordered: 10,20,20,30,30,40. Median = average of middle two (20 and 30) = 25.
18.
Mean = (10+20+20+30+30+40)/6=150/6=25.
19.
Largest angle = Science (120°).
20.
English fraction = 60/360=1/6.
21.
Total students = 4+6+10=20.
22.
Highest frequency = 20–30 (10 students).
23.
Set B is more consistent → same mean but smaller range (10 vs 30).
24.
Least rainfall = January (20 mm).
25.
Difference = 60−20=40 mm.
26.
Highest absence = Friday (6).
27.
Total = 2+4+3+5+6=20 absences.
28.
Mean = total ÷ n → Total = mean×n = 20×5 = 100.
29.
Lowest = 40−15 = 25.
30.
Yes. Example:
Set A: 10,20,30 (mean=20, range=20).
Set B: 19,20,21 (mean=20, range=2).
→ Same mean, different ranges.