answer:To determine the trend in the given set of monthly sales data, we can calculate the average increase in sales per month. 1. Calculate the difference in sales between each consecutive month: Feb - Jan = 12,000 - 10,000 = 2,000 Mar - Feb = 14,500 - 12,000 = 2,500 Apr - Mar = 13,000 - 14,500 = -1,500 May - Apr = 15,000 - 13,000 = 2,000 Jun - May = 16,500 - 15,000 = 1,500 2. Calculate the average increase in sales per month: (2,000 + 2,500 - 1,500 + 2,000 + 1,500) / 5 = 6,500 / 5 = 1,300 The trend in the given set of monthly sales data is an average increase of 1,300 per month.

answer:To find the monthly growth rate, we can use the formula: Growth Rate = (Current Month's Products Sold - Previous Month's Products Sold) / Previous Month's Products Sold Let's calculate the growth rate for each month: | Month | Products Sold | Growth Rate | |-------|--------------|-------------| | Jan | 3000 | N/A | | Feb | 3500 | (3500-3000)/3000 = 0.1667 (16.67%) | | Mar | 4000 | (4000-3500)/3500 = 0.1429 (14.29%) | | Apr | 5000 | (5000-4000)/4000 = 0.2500 (25.00%) | | May | 4500 | (4500-5000)/5000 = -0.1000 (-10.00%) | | Jun | 6000 | (6000-4500)/4500 = 0.3333 (33.33%) | | Jul | 6500 | (6500-6000)/6000 = 0.0833 (8.33%) | | Aug | 7000 | (7000-6500)/6500 = 0.0769 (7.69%) | | Sep | 8000 | (8000-7000)/7000 = 0.1429 (14.29%) | | Oct | 8500 | (8500-8000)/8000 = 0.0625 (6.25%) | | Nov | 9500 | (9500-8500)/8500 = 0.1176 (11.76%) | | Dec | 10000 | (10000-9500)/9500 = 0.0526 (5.26%) | Now let's analyze the trend in the growth rates: 1. From January to April, there is a positive growth rate, with the highest growth rate in April (25%). 2. In May, there is a negative growth rate (-10%), indicating a decrease in products sold compared to the previous month. 3. From June to December, the growth rate is positive, but it fluctuates. The highest growth rate is in June (33.33%), and the lowest is in December (5.26%). In conclusion, the overall trend shows an increase in the number of products sold throughout the year, with some fluctuations in the growth rates. The store experienced a dip in sales in May, but sales continued to grow in the following months, albeit at varying rates.

answer:To find the mean, median, and mode of this time series, we will follow these steps: Mean: 1. Add up all the numbers in the dataset. 2. Divide the sum by the total number of data points (in this case, 12 months). Median: 1. Arrange the numbers in ascending order (which is already done in this case). 2. Since there are 12 data points (an even number), find the average of the two middle numbers. Mode: 1. Identify the number(s) that appear most frequently in the dataset. Let's calculate: Mean: (25 + 27 + 30 + 34 + 38 + 42 + 45 + 49 + 52 + 55 + 57 + 60) / 12 = 516 / 12 = 43 Median: (38 + 42) / 2 = 80 / 2 = 40 Mode: There is no repeating number in the dataset, so there is no mode. So, the mean is 43, the median is 40, and there is no mode.

answer:To find the average temperature for each month over the 10-year period, we need to add up the temperatures for each month across all years and then divide by the number of years (10). Month | Sum of Temperatures | Average Temperature --- | --- | --- Jan | (23+21+25+24+21+25+22+23+22+24) | 230/10 = 23.0 Feb | (25+24+28+25+22+27+24+25+26+25) | 251/10 = 25.1 Mar | (26+27+31+27+26+29+28+28+30+27) | 279/10 = 27.9 Apr | (30+30+32+31+29+34+30+32+31+32) | 301/10 = 30.1 May | (34+35+34+34+34+36+36+34+35+35) | 347/10 = 34.7 Jun | (38+38+38+36+37+38+39+37+39+38) | 384/10 = 38.4 Jul | (39+40+39+40+39+40+41+40+42+41) | 401/10 = 40.1 Aug | (38+38+37+39+38+39+38+39+39+38) | 383/10 = 38.3 Sep | (37+36+35+37+35+35+36+36+36+36) | 359/10 = 35.9 Oct | (33+31+31+33+31+32+32+33+31+33) | 320/10 = 32.0 Nov | (29+27+27+28+27+29+28+30+27+29) | 281/10 = 28.1 Dec | (24+23+24+24+22+26+25+24+23+26) | 241/10 = 24.1 So, the average temperature for each month over the 10-year period is: January: 23.0 February: 25.1 March: 27.9 April: 30.1 May: 34.7 June: 38.4 July: 40.1 August: 38.3 September: 35.9 October: 32.0 November: 28.1 December: 24.1