Math Problem Statement
CI 0-3 3-6 6-9 9-12 12=15 15- 18 F - x 45 43 15 6 y mean =7 sum of pbservations 120
Solution
It seems like you have provided data related to a frequency distribution with class intervals (CI), frequencies (F), and possibly an arithmetic mean. Let me summarize what I have so far:
- Class intervals (CI):
- 0–3
- 3–6
- 6–9
- 9–12
- 12–15
- 15–18
- Corresponding frequencies (F):
- (45 for 0-3)
- (43 for 3-6)
- (15 for 6-9)
- (6 for 9-12)
- (y for 12-15)
- (mean = 7, total sum of observations = 120)
We have an unknown frequency y
, the mean, and the total number of observations.
The formula for the mean in a frequency distribution is:
Where:
- is the frequency of each interval,
- is the midpoint of each interval.
We also know the total sum of observations is 120. So we can calculate the missing value of y
.
Would you like me to calculate the value of y
and solve this step by step?
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Math Problem Analysis
Mathematical Concepts
Frequency Distribution
Arithmetic Mean
Class Intervals
Midpoint Method
Formulas
Mean = (Σ(f_i * x_i)) / Σf_i
x_i = (lower_bound + upper_bound) / 2
Theorems
-
Suitable Grade Level
Grades 10-12
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