Easy Level Worksheet
Very Short Answer Questions (1 Mark Each)
(1) What is the meaning of statistics?
Correct! Statistics is the collection, organization, analysis, and interpretation of numerical data.
(2) Define mean in simple words.
Perfect! Mean is the average of all values, calculated by adding all values and dividing by the number of values.
(3) Find the median of the data: 4, 6, 8, 10, 12.
Excellent! The median is the middle value when data is arranged in order. Here, 8 is the middle value.
(4) Find the mode of the data: 3, 5, 5, 7, 9.
Great! Mode is the value that appears most frequently. Here, 5 appears twice.
(5) Find the range of the data: 2, 5, 7, 10.
Correct! Range = Highest value - Lowest value = 10 - 2 = 8.
Short Answer Questions (2 Marks Each)
Answer each question with proper calculations
(1) The marks obtained by 5 students are: 5, 7, 9, 10, 12. Find the mean.
Excellent! Mean = (5 + 7 + 9 + 10 + 12) ÷ 5 = 43 ÷ 5 = 8.6.
(2) Find the median of the data: 10, 12, 14, 16.
Perfect! For even number of values, median = (12 + 14) ÷ 2 = 13.
(3) Find the mode of the data: 2, 3, 3, 4, 5, 5, 5, 6.
Correct! 5 appears three times, which is the highest frequency.
(4) A teacher recorded the number of pencils sold in a day by 6 students: 2, 3, 3, 4, 4, 5. Find the range.
Great! Range = 5 - 2 = 3.
(5) The data shows number of books read by students: 1, 2, 2, 3, 3, 3, 4. Find the mode.
Perfect! 3 appears three times, making it the mode.
Long Answer Questions (4 Marks Each)
Note: Answer each question with complete steps and clear calculations.
(1) The marks of 10 students are: 5, 7, 7, 8, 9, 10, 10, 12, 12, 15. Find the mean, median, and mode.
Mean:
Correct! Mean = 95 ÷ 10 = 9.5, Median = (9 + 10) ÷ 2 = 9.5, Mode = 7, 10, and 12 (each appears twice).
(2) Construct a frequency table for the marks obtained by 8 students: 2, 3, 3, 4, 4, 4, 5, 5.
| Marks | Frequency |
|---|---|
| 2 | |
| 3 | |
| 4 | |
| 5 |
Perfect! You've correctly counted the frequency of each mark.
(3) The heights (in cm) of 7 students are: 140, 142, 145, 147, 150, 152, 155. Find the range and mean height.
Range:
Excellent! Range = 155 - 140 = 15 cm, Mean = 1031 ÷ 7 ≈ 147.29 cm.
(4) The marks of 6 students in maths are: 10, 12, 14, 12, 15, 10. Find the mean marks.
Mean marks:
Great! Mean = (10 + 12 + 14 + 12 + 15 + 10) ÷ 6 = 73 ÷ 6 ≈ 12.17.
(5) The number of chocolates sold in a shop over a week: 2, 3, 3, 4, 5, 5, 6. Draw a simple frequency table.
| Chocolates | Frequency |
|---|---|
| 2 | |
| 3 | |
| 4 | |
| 5 | |
| 6 |
Part B: Objective Questions (1 Mark Each)
Choose the correct answer and write the option (a/b/c/d)
(1) The mean of 2, 4, 6, 8 is:
(a) 4 (b) 5 (c) 6 (d) 7
Correct! Mean = (2 + 4 + 6 + 8) ÷ 4 = 20 ÷ 4 = 5.
(2) The median of 3, 5, 7, 9, 11 is:
(a) 5 (b) 6 (c) 7 (d) 8
Correct! The median is the middle value: 7.
(3) The mode of 1, 2, 2, 3, 3, 3, 4 is:
(a) 2 (b) 3 (c) 4 (d) 1
Correct! 3 appears three times, which is the highest frequency.
(4) The range of 5, 8, 10, 12 is:
(a) 5 (b) 6 (c) 7 (d) 8
Correct! Range = 12 - 5 = 7.
(5) The mean of 5, 7, 9 is:
(a) 7 (b) 6 (c) 8 (d) 5
Correct! Mean = (5 + 7 + 9) ÷ 3 = 21 ÷ 3 = 7.
(6) The median of 10, 12, 14, 16 is:
(a) 12 (b) 13 (c) 14 (d) 15
Correct! For even number of values, median = (12 + 14) ÷ 2 = 13.
(7) The mode of 4, 4, 5, 5, 5, 6 is:
(a) 4 (b) 5 (c) 6 (d) 4 and 5
Correct! 5 appears three times, more than any other value.
(8) If all observations in a data set are the same, the mean is:
(a) That value (b) Zero (c) Sum of values (d) Cannot be determined
Correct! If all values are the same, the mean equals that value.
(9) If the data is 2, 4, 6, 8, 10, the range is:
(a) 6 (b) 8 (c) 10 (d) 12
Correct! Range = 10 - 2 = 8.
(10) The mean of numbers 3, 5, 7, 9, 11 is:
(a) 7 (b) 6 (c) 5 (d) 8
Correct! Mean = (3 + 5 + 7 + 9 + 11) ÷ 5 = 35 ÷ 5 = 7.
Statistics Challenge
Determine whether these statements are True or False: