Answer :
There are 24 people whose weights are between 70 kg and 85 kg, inclusive only of the lower bound.
To solve this problem, we need to determine how many people have a weight that is greater than or equal to 70 kg but less than 85 kg from the given list of weights. Follow these steps:
List the Weights: First, note the weights given:
60, 66, 77, 70, 66, 68, 57, 70, 66, 52, 75, 65, 69, 71, 58, 66, 67, 74, 61, 63, 69, 80, 59, 66, 70, 67, 78, 75, 64, 71, 81, 62, 64, 69, 68, 72, 83, 56, 65, 74, 67, 54, 65, 65, 69, 61, 67, 73, 57, 62, 67, 68, 63, 67, 71, 68, 76, 61, 62, 63, 76, 61, 67, 67, 64, 72, 64, 73, 79, 58, 67, 71, 68, 59, 69, 70, 66, 62, 63, 66.
Identify the Range: You are looking for weights that are [tex]70 \leq \text{weight} < 85[/tex] kg.
Count the Weights: Go through the list and count how many weights fall within this range:
- 77, 70, 70, 75, 71, 74, 80, 70, 78, 75, 71, 81, 72, 74, 73, 76, 76, 72, 73, 79, 71, 71, 70.
Total People: Let's count each valid weight:
- 77 (1 time)
- 70 (4 times)
- 75 (2 times)
- 71 (4 times)
- 74 (2 times)
- 80 (1 time)
- 78 (1 time)
- 72 (2 times)
- 73 (2 times)
- 76 (2 times)
- 79 (1 time)
- 81 (1 time)
- 83 (1 time)
Thus, there are several repeated and new entries for the valid weights. Counting gives a total of 24 instances. Hence, 24 people have weights in the specified range.
To find out how many people have a weight that is greater than or equal to 70 kg but less than 85 kg, follow these steps:
1. List all the given weights:
60, 66, 77, 70, 66, 68, 57, 70, 66, 52, 75, 65, 69, 71, 58, 66, 67, 74, 61, 63, 69, 80, 59,
66, 70, 67, 78, 75, 64, 71, 81, 62, 64, 69, 68, 72, 83, 56, 65, 74, 67, 54, 65, 65, 69, 61,
67, 73, 57, 62, 67, 68, 63, 67, 71, 68, 76, 61, 62, 63, 76, 61, 67, 67, 64, 72, 64, 73, 79,
58, 67, 71, 68, 59, 69, 70, 66, 62, 63, 66
2. Identify weights that are within the specified range (70 kg ≤ weight < 85 kg):
- Check each weight one by one to see if it falls within the range.
- If it does, count it.
3. Count the valid weights:
From the list, the weights 70 kg or more but less than 85 kg are:
77, 70, 70, 75, 71, 74, 80, 70, 71, 78, 75, 71, 72, 74, 73, 76, 76, 71, 72, 73, 79, 71, 70, 70
4. Find the total count of these weights:
The total number of weights between 70 kg and 85 kg is 24.
So, there are 24 people whose weight is greater than or equal to 70 kg but less than 85 kg.
1. List all the given weights:
60, 66, 77, 70, 66, 68, 57, 70, 66, 52, 75, 65, 69, 71, 58, 66, 67, 74, 61, 63, 69, 80, 59,
66, 70, 67, 78, 75, 64, 71, 81, 62, 64, 69, 68, 72, 83, 56, 65, 74, 67, 54, 65, 65, 69, 61,
67, 73, 57, 62, 67, 68, 63, 67, 71, 68, 76, 61, 62, 63, 76, 61, 67, 67, 64, 72, 64, 73, 79,
58, 67, 71, 68, 59, 69, 70, 66, 62, 63, 66
2. Identify weights that are within the specified range (70 kg ≤ weight < 85 kg):
- Check each weight one by one to see if it falls within the range.
- If it does, count it.
3. Count the valid weights:
From the list, the weights 70 kg or more but less than 85 kg are:
77, 70, 70, 75, 71, 74, 80, 70, 71, 78, 75, 71, 72, 74, 73, 76, 76, 71, 72, 73, 79, 71, 70, 70
4. Find the total count of these weights:
The total number of weights between 70 kg and 85 kg is 24.
So, there are 24 people whose weight is greater than or equal to 70 kg but less than 85 kg.
