Class interval Weight in kg

81-90

71-80

61-70

51-60

41-50

31-40

Frequency

3

3

8

20

12

LB (Lower Boundary)

80.5

70.5

60.5

50.5

40.5

30.5

< cf (less than cumulative frequency)

50

47

44

36

16

1. Determine the position of Q3 using kN/4 (Do not round-off the value)

Position of Q3: ______

2. Find the class interval where the value of Q3 is located.

Class Interval: ______

3. Determine the Lower Boundary (LB) of the Q3 class, the cumulative frequency before the Q3 class (cf b), the frequency of the Q3 class (f) and the size of the class interval (i).

LB: _____ f: _____

cf b: _____ i: _____

4. Calculate the value of Q3.

Show your process here

5. Interpret the value of Q3.

__% of the students weigh less than or equal to ___ kilograms.

REFLECTION:

WHY I/WE NEED TO STUDY QUARTILES OR GROUPED DATA? I need to study QUARTILES in MATHEMATICS 10 because ________________________

An example or a situation where I can apply QUARTILES in my PERSONAL or in REAL LIFE is _____________________

PA HELP GUYS NEED TOM PLEASE PLEASE PLEASE

**Answer:**

1. Determine the position of Q3 using kN/4 (Do not round-off the value)

Position of Q3: kN/4 = (3/4) * 45 = 33.75

2. Find the class interval where the value of Q3 is located.

Class Interval: 31-40

3. Determine the Lower Boundary (LB) of the Q3 class, the cumulative frequency before the Q3 class (cf b), the frequency of the Q3 class (f), and the size of the class interval (i).

LB: 30.5

f: 20

cf b: 44

i: 10

4. Calculate the value of Q3.

Q3 = LB + ((kN/4 – cf b) / f) * i

= 30.5 + ((33.75 – 44) / 20) * 10

= 30.5 + (-0.5425) * 10

= 30.5 – 5.425

= 25.075

The value of Q3 is approximately 25.075.

5. Interpret the value of Q3.

Approximately 75% of the students weigh less than or equal to 25.075 kilograms.

REFLECTION:

WHY I/WE NEED TO STUDY QUARTILES OR GROUPED DATA? I need to study QUARTILES in MATHEMATICS 10 because quartiles provide a way to analyze and summarize data that is organized into groups or intervals. They help in understanding the distribution and variability within the data set, especially when dealing with large data sets or grouped data.

An example or a situation where I can apply QUARTILES in my PERSONAL or in REAL LIFE is when analyzing income distribution in a population. By calculating quartiles, we can understand the income levels of different segments of the population, such as the lower quartile representing the income of the bottom 25% of earners, the median representing the middle income level, and the upper quartile representing the income of the top 25% of earners. This information can be useful for understanding income inequality and making informed decisions regarding economic policies or financial planning.

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