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Activity 4 LET'S SOLVE IT... Directions: Calculate the mean, median and mode of the weight of IV-2 Students. Write your complete solutions and answers in a sheet of paper. Weight of IV-2 Students Weight in kg Frequency 75-79 1 70-74 4 65-69 10 60-64 14 55-59 21 50-54 15 45-69 14 40-44 1 Mean Median = Mode
Activity 4 LET'S SOLVE IT... Directions: Calculate the mean, median and mode of the weight of IV-2 Students. Write your complete solutions and answers in a sheet of paper. Weight of IV-2 Students Weight in kg Frequency 75-79 1 70-74 4 65-69 10 60-64 14 55-59 21 50-54 15 45-69 14 40-44 1 Mean Median = Mode
Answer:
Mean: 57.25 kg
Median: within the range of 55-59 kg
Mode: within the range of 55-59 kg
Step-by-step explanation:
Mean:
To find the mean, we calculate the midpoint for each weight class by averaging the lower and upper boundaries, then multiply each midpoint by the class frequency, sum these products, and divide by the total number of students.
Calculate the midpoints for each class:
75-79: (75+79)/2 = 77
70-74: (70+74)/2 = 72
65-69: (65+69)/2 = 67
60-64: (60+64)/2 = 62
55-59: (55+59)/2 = 57
50-54: (50+54)/2 = 52
45-49: (45+49)/2 = 47
40-44: (40+44)/2 = 42
Multiply midpoints by frequencies and sum them:
(771) + (724) + (6710) + (6214) + (5721) + (5215) + (4714) + (421)
Calculate the total number of students by summing the frequencies:
1+4+10+14+21+15+14+1 = 80 (assuming the typo is corrected)
Divide the sum of the midpoint-frequency products by the total number of students:
Mean = (771 + 724 + 6710 + 6214 + 5721 + 5215 + 4714 + 421) / 80
Median:
The median is the value that separates the higher half from the lower half of the data set. Since there are 80 students, the median would be the average of the 40th and 41st values.
Count up the frequencies to find the classes that contain the 40th and 41st values.
Since the cumulative frequency reaches 40 at the 55-59 kg class, the median lies within this class.
Mode:
The mode is the value that appears most frequently. In a grouped frequency distribution, the mode is the class with the highest frequency.
Look for the class with the highest frequency, which is 55-59 kg with a frequency of 21.
Now, let's calculate the actual numbers:
Mean:
= (771 + 724 + 6710 + 6214 + 5721 + 5215 + 4714 + 421) / 80
= (77 + 288 + 670 + 868 + 1197 + 780 + 658 + 42) / 80
= 4580 / 80
= 57.25 kg
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