Pregunta
4) An ice-cream van sells a range of different ice-creams for 2 weeks. This is the number of ice-creams he manages to sell. Find the mean, median, mode and range of his ice-cream sales. \( 87,75,95,102,109,61,85 \) Week \( 2: 77,103,102,79,82,63,70 \) Mean Median
Ask by Johnson Warner. in the United States
Mar 02,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Mean: 85
Median: 83.5
Mode: 102
Range: 48
Solución
We first combine the sales figures from both weeks:
Week 1: 87, 75, 95, 102, 109, 61, 85
Week 2: 77, 103, 102, 79, 82, 63, 70
Step 1: Calculate the Mean
• Add all the numbers:
Week 1 sum = 87 + 75 + 95 + 102 + 109 + 61 + 85 = 614
Week 2 sum = 77 + 103 + 102 + 79 + 82 + 63 + 70 = 576
Combined sum = 614 + 576 = 1190
• There are 14 data points (7 from each week).
• Mean = 1190 ÷ 14 = 85
Step 2: Find the Median
• First, sort all 14 numbers in ascending order:
61, 63, 70, 75, 77, 79, 82, 85, 87, 95, 102, 102, 103, 109
• Since there is an even number of values (14), the median is the average of the 7th and 8th numbers.
• 7th number = 82; 8th number = 85
Median = (82 + 85) ÷ 2 = 83.5
Step 3: Determine the Mode
• The mode is the number that appears most frequently.
• Here, 102 appears twice while all other values appear only once.
• Mode = 102
Step 4: Compute the Range
• Range = Largest value − Smallest value
• Largest value = 109; Smallest value = 61
Range = 109 − 61 = 48
Summary:
• Mean = 85
• Median = 83.5
• Mode = 102
• Range = 48
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
To find the mean, add up all the ice-cream sales: \(87 + 75 + 95 + 102 + 109 + 61 + 85 + 77 + 103 + 102 + 79 + 82 + 63 + 70 = 1,229\). Then divide by the total number of sales, which is 14. The mean is \(1,229 / 14 ≈ 87.79\). Next, to calculate the median, first, arrange the sales in ascending order: \(61, 63, 70, 75, 77, 79, 82, 85, 87, 95, 102, 102, 103, 109\). Since there are 14 numbers, the median will be the average of the 7th and 8th numbers. Thus, the median is \((82 + 85) / 2 = 83.5\).
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