Question 1: Calculate the cumulative frequency for the value 15 in the following frequency table: | Class Interval | Frequency | |------------------|-----------| | 0 - 5 | 4 | | 6 - 10 | 8 | | 11 - 15 | 6 | | 16 - 20 | 5 |

Answer: 18

Question 2: Construct the cumulative frequency table for the following data: | Class Interval | Frequency | |------------------|-----------| | 0 - 10 | 10 | | 11 - 20 | 15 | | 21 - 30 | 20 | | 31 - 40 | 5 |

Answer: {"0-10":10,"0-20":25,"0-30":45,"0-40":50}

Question 3: A table shows the number of students scoring within certain ranges. Fill in the missing cumulative frequencies: | Score Range | Frequency | Cumulative Frequency | |--------------|------------|------------------------| | 0 - 50 | 12 | | | 51 - 70 | 20 | | | 71 - 90 | 18 | |

Answer: {"0-50":12,"0-70":32,"0-90":50}

Question 4: Identify the mistake in the following cumulative frequency table: | Class | Frequency | Cumulative Frequency | |--------|------------|------------------------| | 0-5 | 5 | 5 | | 6-10 | 7 | 10 | | 11-15 | 8 | 15 |

Answer: The cumulative frequency for 11-15 should be 5+7+8=20, not 15.

Question 5: Plot the graph of y=2x for x values from 0 to 10 on the grid provided.

Answer: Student plots y=2x, connecting points (0,0), (1,2), ..., (10,20).

Question 6: Construct a histogram based on the following cumulative frequency data: | Class Interval | Cumulative Frequency | |------------------|------------------------| | 0 - 10 | 12 | | 10 - 20 | 27 | | 20 - 30 | 45 | | 30 - 40 | 50 |

Answer: Histogram bars with heights proportional to class frequencies derived from cumulative data.

Question 7: A class interval of 0-20 has a frequency of 10, and the next class is 21-40 with a frequency of 15. What is the cumulative frequency at 40?

Answer: 25

Question 8: In a frequency table, the cumulative frequency for class 0-25 is 35, and for 0-50 is 60. Find the frequency for the class 26-50.

Answer: 25

Question 9: Explain why it is important to correctly calculate cumulative frequencies when analyzing data distributions.

Answer: Correct cumulative frequencies allow accurate interpretation of data trends, median, and percentiles, preventing misrepresentation of the data.

Question 10: A student miscalculates the cumulative frequency for a class interval. Identify the error and correct it: | Class | Frequency | Cumulative Frequency | |--------|------------|------------------------| | 0-10 | 10 | 10 | | 11-20 | 12 | 22 | | 21-30 | 15 | 37 |

Answer: The cumulative frequency for 21-30 should be 10+12+15=37, which is correct. The mistake is in the interpretation if they assumed otherwise; actual calculation is correct here.