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question:A murder investigation has been launched after a teenager who was shot in the eye over an apparent dispute about a girl died in hospital from his injuries. The 18-year-old man, who has not yet been named by police, was taken to hospital after being shot in Rotherhithe, south east London, on Sunday afternoon. Police said he died from his injuries just before 4.45pm yesterday and confirmed two men had been arrested in connection with his death. The incident is not believed to be gang-related. The 18-year-old man, who has not yet been named by police, was taken to hospital after being shot in Rotherhithe, south east London, on Sunday afternoon. Pictured: A forensic tent at the scene of the incident . Police said investigations remain ongoing at the scene and confirmed a murder probe had been launched . A Scotland Yard spokesman said: 'A 36-year-old man was arrested at an address in south London in the early hours of Monday. 'A 21-year-old man was arrested after he handed himself in at a south London police station. Both men have been arrested on suspicion of murder and remain in custody.' A 19-year-old man injured in the same incident has now been released from hospital following treatment. He was allegedly beaten with a medieval-style mace in the attack. Detective Chief Inspector Graeme Gwyn, of the Met's homicide and major crime command based at Lewisham, said: 'We are retaining an open mind as to the motive behind this incident, but there is nothing to suggest at this stage that it was gang-related. 'A crime scene remains in place at the scene.' Earlier, witnesses told how they saw the shot teenager writhing in agony after being hit in the eye in the 'dispute over a girl.' He was initially knocked unconscious by the shot before coming around as residents went to his aid. Two men have been arrested in connection with the man's death and remain in custody at a London station . Officers could be seen combing the spot for evidence yesterday as it emerged the victim had died in hospital . Nigel Fletcher, 46, described seeing the victim lying in a pool of blood wearing trainers, jeans and black coat. He said: 'I looked out and saw the guy lying on the floor in a pool of blood. 'The others obviously fled as quick as they could. 'He was just lying there still as a bat - he wasn't moving at all. I just assumed he was dead, dead instantly. There was blood everywhere. 'I heard the shooting, it sounded like two shots. There was a big bang, like a firework, but it was obviously a gun. It echoed around the estate. 'My missus came down and just said someone's been shot. She told me she's heard arguing outside and then heard the shots and saw one or two of them running away. 'I've never seen anything like it. Things like this don't happen around here.' A 19-year-old man was also allegedly attacked with a medieval-style mace in the broad daylight attack . The road and footpath remained shut to the public yesterday as police investigations continued at the scene . Another resident, who did not want to be named, said: 'I looked out of my window because I heard a noise. 'A blue car sped away and there was a lot of shouting. One group ran one way and others ran through the car park. 'I didn't realise someone had been shot. I only realised when my neighbour said. I called for an ambulance and went down with a towel. 'He was white and I did see he had an injury to his eye. He was huddled over. He was alive but he was groaning. He was conscious. 'It all happened so quickly. I have lived here for two-and-a-half years and never seen anything like this before.' Sorry we are not currently accepting comments on this article.

answer:A murder investigation has been launched following the death of an 18-year-old man who was shot in the eye during an apparent dispute over a girl in Rotherhithe, south east London. The victim was taken to the hospital on Sunday afternoon and died from his injuries just before 4:45 PM on Monday. Two men, aged 36 and 21, have been arrested on suspicion of murder and remain in custody. A 19-year-old man, who was also injured in the incident, has been released from the hospital after treatment for injuries sustained from a medieval-style mace. The incident is not believed to be gang-related. Witnesses described the victim lying in a pool of blood and hearing gunshots, with one resident noting the attack happened very quickly. The crime scene remains under investigation, and police are continuing their inquiries to determine the motive behind the incident.

question:The square root of 2x is greater than 3 and less than 4. How many integer values of x satisfy this condition?

answer:To find the integer values of x that satisfy the condition, we need to find the range of possible values for x. Since the square root of 2x is greater than 3 and less than 4, we can write the inequality as 3<sqrt{2x}<4. Squaring both sides, we get 9<2x<16. Dividing both sides by 2, we have 4.5<x<8. The integer values of x that satisfy this condition are 5, 6, and 7. Therefore, there are boxed{3} integer values of x that satisfy the given condition.The answer is: 3

question:Let's say I have two groups taking an IQ test with different conditions. Group 1 is the control group and has 20 participants, with an average IQ of 105 and a standard deviation of 10. Group 2 has some sort of experimental condition applied to them and has 25 participants, with an average IQ of 110 and a standard deviation of 12. How do I figure out if group 2's average IQ is significantly higher than the control group?

answer:To determine if the average IQ of Group 2 is significantly higher than the control group (Group 1), you can perform an independent samples t-test. This test compares the means of two independent groups to see if there's a statistically significant difference between them. First, you'll need to calculate the standard error of the difference between the means. This can be done using the following formula: SE = sqrt((s1^2/n1) + (s2^2/n2)) where SE is the standard error, s1 and s2 are the standard deviations of Group 1 and Group 2, and n1 and n2 are the sample sizes of Group 1 and Group 2. Using the given values: s1 = 10, s2 = 12, n1 = 20, n2 = 25 SE = sqrt((10^2/20) + (12^2/25)) SE ≈ sqrt((100/20) + (144/25)) SE ≈ sqrt(5 + 5.76) SE ≈ sqrt(10.76) SE ≈ 3.28 Next, you'll calculate the t-statistic using the formula: t = (x2 - x1) / SE where x2 and x1 are the means of Group 2 and Group 1. t = (110 - 105) / 3.28 t = 5 / 3.28 t ≈ 1.52 The final step is to look up the t-statistic in a t-distribution table or use software to calculate the p-value. For this example, let's assume a two-tailed test with a significance level of 0.05. Using a t-distribution table or calculator with the degrees of freedom (n1 + n2 - 2 = 43), you'll find the critical t-value for a two-tailed test at alpha = 0.05 is around 2.016. Since the calculated t-statistic (1.52) is less than the critical t-value, the difference is not statistically significant. Alternatively, if you calculate the p-value, you'll likely get a value greater than 0.05, indicating that the difference between the means is not statistically significant. Keep in mind that this calculation assumes equal variances are not assumed (Welch's t-test), as the sample sizes and standard deviations differ between the groups. However, the general conclusion may be similar with other types of t-tests as well. In summary, based on the given data, it appears that the average IQ of Group 2 is not significantly higher than the control group. However, consider consulting statistical software (like R or Python libraries) or a more detailed statistical analysis to confirm the results and explore further.

question:Let's say I've got a set of numerical data and I want to understand and describe its distribution, including measuring how spread out it is and whether it is skewed. What concepts and metrics should I be familiar with in order to describe the data accurately?

answer:To understand and describe the distribution of your numerical data, you should be familiar with the following concepts and metrics: 1. **Central Tendency**: This refers to the middle or typical value of the data. The most common measures of central tendency are: * **Mean**: The average value of the data. * **Median**: The middle value of the data when it's sorted in ascending order. * **Mode**: The most frequently occurring value in the data. 2. **Dispersion** or **Variability**: This refers to how spread out the data is. Common measures of dispersion include: * **Range**: The difference between the largest and smallest values in the data. * **Interquartile Range (IQR)**: The difference between the 75th percentile (Q3) and the 25th percentile (Q1). * **Variance**: A measure of the average squared difference between each value and the mean. * **Standard Deviation (SD)**: The square root of the variance, which represents the average distance between each value and the mean. 3. **Skewness**: This refers to the asymmetry of the data distribution. A symmetric distribution is one where the left and right sides are mirror images of each other. Common measures of skewness include: * **Skewness Coefficient**: A numerical value that indicates the direction and magnitude of skewness. * **Visual inspection**: Plotting a histogram or box plot can help identify skewness visually. 4. **Kurtosis**: This refers to the tailedness or peakedness of the distribution. A distribution with high kurtosis has heavier tails and a more peaked center. 5. **Percentiles**: These are values that divide the data into equal parts, with a specified percentage of the data falling below each percentile (e.g., 25th, 50th, 75th). 6. **Box Plot**: A graphical representation of the data that shows the median, quartiles, and outliers. 7. **Histogram**: A graphical representation of the data that shows the distribution of values using bars of varying heights. To accurately describe your data, consider the following steps: 1. Calculate the mean, median, and mode to understand the central tendency. 2. Calculate the range, IQR, variance, and standard deviation to understand dispersion. 3. Calculate the skewness coefficient and inspect a histogram or box plot to understand skewness. 4. Calculate percentiles to understand the distribution of values. 5. Use a box plot or histogram to visualize the data and identify outliers, skewness, and other patterns. Keep in mind that the choice of metrics and plots will depend on the specific characteristics of your data and the goals of your analysis.