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Stock Data Analysis

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Stock Data Analysis


1. **State the problem:** We are given monthly data for a stock including Volume, Traded Value, Trades, and Closing Price for 10 months. We need to answer 6 quantitative questions and comment on the Closing Price chart. 2. **Convert Arabic numerals to standard numbers:** - Volume (Jan): 110658124 - Traded Value (Jan): 872558584771 - Trades (Jan): 10168 - Closing Price (Jan): 1715 (assumed 1.715) Similarly for all months, convert all Arabic numerals to standard numbers and interpret Closing Price as decimal by dividing by 1000 (e.g., 1715 = 1.715). 3. **Q1: Find the mean of Closing Price.** - Closing Prices: 1.715, 1.835, 1.778, 2.005, 1.888, 1.819, 2.070, 2.320, 2.920, 2.740 - Mean = $$\frac{1.715 + 1.835 + 1.778 + 2.005 + 1.888 + 1.819 + 2.070 + 2.320 + 2.920 + 2.740}{10} = \frac{20.09}{10} = 2.009$$ 4. **Q2: Find the median of Trades.** - Trades: 10168, 95, 4409, 8424, 12322, 9287, 11078, 19133, 28239, 21961 - Sort: 95, 4409, 8424, 9287, 10168, 11078, 12322, 19133, 21961, 28239 - Median = average of 5th and 6th values = $$\frac{10168 + 11078}{2} = 10623$$ 5. **Q3: Find the range of Traded Value.** - Traded Values: 872558584771, 196382770376, 156039108371, 297832487392, 517101231963, 374608258894, 250147171613, 709332902891, 1198384717852, 806287050165 - Range = max - min = $$1198384717852 - 156039108371 = 1042345609481$$ 6. **Q4: Find the standard deviation of Volume.** - Volumes: 110658124, 117700211, 87247282, 149698607, 251432223, 147371542, 175057101, 300297457, 414342670, 289174205 - Mean Volume = $$\frac{110658124 + 117700211 + 87247282 + 149698607 + 251432223 + 147371542 + 175057101 + 300297457 + 414342670 + 289174205}{10} = 195973142.2$$ - Calculate variance = average of squared differences from mean - Variance $$= \frac{\sum (x_i - \bar{x})^2}{10} = 8.04 \times 10^{15}$$ (approximate) - Standard deviation $$= \sqrt{8.04 \times 10^{15}} = 89689000$$ (approximate) 7. **Q5: Month with highest Volume:** - Highest Volume = 414342670 in September 2023 8. **Q6: Month with lowest Traded Value:** - Lowest Traded Value = 156039108371 in March 2023 9. **Q7: Comment on Closing Price chart:** The line graph shows the stock's closing price fluctuating over 10 months from January to October 2023. The price starts near 1.7, rises gradually with some dips, peaks at 2.92 in September, then slightly decreases in October. This indicates overall growth with some volatility. **Final answers:** - Q1: Mean Closing Price = 2.009 - Q2: Median Trades = 10623 - Q3: Range Traded Value = 1042345609481 - Q4: Std Dev Volume ≈ 89689000 - Q5: Highest Volume Month = September 2023 - Q6: Lowest Traded Value Month = March 2023 - Q7: See comment above.