Calculating Mean from a Frequency Table

Calculating the mean from a grouped frequency table

Multiple choice questions on the following : Context: Park A (Sharjah): 120, 122, 121, 119, 118 Park B (Dubai): 90, 130, 150, 110, 120 Both parks have the same mean number of visitors. What is the correct value of the mean? A. 118 B. 119 C. 120 D. 121 Without calculating variance fully, which park is most likely to have the larger population variance? A. Park A, because its values are closer to the mean B. Park B, because its values are more spread out C. Park A, because it has a smaller range D. Park B, because it has more visitors overall The mean number of visitors for both parks is 120. Which value contributes the MOST to the variance of Park B? A. 110 B. 120 C. 130 D. 150 What is the squared deviation of 90 visitors from the mean? A. 30 B. 60 C. 900 D. 30² Why does the value 150 increase the variance more than 130? A. It increases the mean B. Its deviation from the mean is larger before squaring C. It occurs later in the data set D. Variance depends only on the largest value Which statement best describes the visitor pattern in Park A (Sharjah)? A. Highly variable with extreme values B. Random and unpredictable C. Consistent with small deviations from the mean D. Skewed due to an outlier Both parks have the same mean. Why is variance still needed to compare them? A. The mean does not show how spread out the data is B. Variance changes the data values C. Variance affects the mean D. Variance replaces the mean A municipality wants to plan staffing using predictable visitor numbers. Based on variance, which park should be chosen? A. Park B, because it has higher peaks B. Park A, because it has lower variance C. Park B, because it has more visitors D. Either park, since the means are equal A student says: “Park B has greater variation because it has the largest value.” Which response best evaluates this claim? A. Correct, because variance depends only on the maximum value B. Partially correct, because variance depends on all deviations from the mean C. Incorrect, because variance ignores extreme values D. Incorrect, because variance only uses the mean If the value 150 were removed from Park B’s data, what would most likely happen to its variance? A. It would increase B. It would stay the same C. It would decrease D. It would become zero

Animal Rights and Diet Success Criteria I can explain key terms which describe the type of diets people have I can explain the advantages and disadvantages of different types of diet Animal Rights and Diet Match up the terms with the meaning Term Meaning Omnivore - eats fish but no other type of meat Vegetarian - eats most types of meat and vegetables Pescetarian - doesn’t eat any products that come from animals Vegan - doesn’t eat meat but will eat dairy products like milk Place the different diets on a spectrum All meat No animal products at all Vegetarian Vegan Omnivore Pescetarian Omnivore Omnivore Most people in the UK are omnivores Match the countries with the amount of meat eaten per person per year Country Meat per person per year India 9.9 kg USA 4.4 kg Bangladesh 120 kg UK 111.5kg Nepal 84.2 kg Australia 4 kg Numeracy How much meat is consumed in the UK per year? (Amount of meat eaten X the UK population) 2. How much meat is consumed in Bangladesh per year? (Amount of meat eaten X the Bangladesh population) Country Meat per person per year USA 120 kg Australia 111.5kg UK 84.2 kg Nepal 9.9 kg India 4.4 kg Bangladesh 4 kg UK – 64 million Bangladesh – 165 million http://www.telegraph.co.uk/travel/maps-and-graphics/world-according-to-meat-consumption/ 7 Why do people eat meat? Discuss Tradition (their family has always done it) Culture (celebrations) Taste Convenience Nutrients such as B12, protein and iron Consumption of meat is rising across developing countries because higher incomes generally mean more meat eating. Pescetarian "Yeah, I'm a vegetarian." "But that looks like fish you're eating." "Oh yeah, I eat fish.“ An estimated 5% - 6% of people in the UK are pescetarians. How many people is this? Approx. 3.6 million Calculation – 66,000,000 /100 x 5.5 = 3,630,000 9 Which group is cuter? Animals Fish 10 People often don’t feel as much love for fish as they do for fluffy, cute mammals. The may think fish don’t feel pain. They may be fussy. They think fish isn’t meat. Not farmed as much as mammals; can be wild. To get nutrients they wouldn’t get from just vegetables and grains. (Omega 3 is in plants but in higher concentrations in oily fish) Why are people pescetarians? https://www.vegsoc.org/sslpage.aspx?pid=753 http://articles.mercola.com/omega-3.aspx Fish – In a perfect world, fish can provide you all the omega-3s you need. Unfortunately, the vast majority of the fish supply is now heavily tainted with industrial toxins and pollutants, such as heavy metals which include mercury, lead, arsenic, and cadmium, PCBs, and radioactive poisons. These toxins make eating fish no longer recommended. 11 Vegetarianism Vegetarians will not eat any meat or product that comes from the slaughter of animals e.g. gelatine. About 3% of the UK population are vegetarian. How many people is this? 1.9 million 12 Why are people vegetarian? They don’t like the idea that animals are killed so they can eat Health reasons Don’t like meat Brought up vegetarian Environmental reasons Religious reasons (e.g. some Buddhist, Hindus) Watch the following clip twice. The second time, write down the fact which surprises you the most. https://www.youtube.com/watch?v=VW6wfpHFdaI The World Health Organization has classified processed meats – including ham, salami, sausages and hot dogs – as a Group 1 carcinogen (same as smoking/alcohol) which means that there is strong evidence that processed meats cause cancer. Red meat, such as beef, lamb and pork has been classified as a 'probable' cause of cancer. 13 Veganism Not just a diet Around 1% of the population of UK are vegans. A vegan is described by the Vegan Society as “a philosophy and way of living which seeks to exclude—as far as is possible and practicable—all forms of exploitation of, and cruelty to, animals for food, clothing or any other purpose; and by extension, promotes the development and use of animal-free alternatives for the benefit of humans, animals and the environment. In dietary terms it denotes the practice of dispensing with all products derived wholly or partly from animals” Why are people vegan? Why are people vegan? James Aspey: https://www.youtube.com/watch?v=a22XxXP3nU8 Warning: some of the content in this video clip may upset some viewers from 7:14 – 8:11 https://www.youtube.com/watch?v=BtqXeym7H8A Why are people vegan? “Don’t want bad karma” Feel healthier Reduce chances of diseases. Example heart disease. Don’t want to exploit animals Believe in animal rights Sustainability Environment Create a Table of Pros & Cons of Veganism Pros √ Cons - Create a Table of Pros & Cons of Veganism Pros Cons No animals have died for you to eat Some people think it is healthier Help the environment Fewer antibiotics/chemicals that are given to some animals Makes you feel good No vitamin B12 so have to supplement Harder to find food at shops or restaurants May be harder to get enough iron May be more expensive to get substitute meats Judged by family and friends Could put farmers out of business Group Work Source 1 Summarise it in your jotter Explain what the source is/what it says What does it suggest? What is your opinion? Feedback to rest of class https://www.youtube.com/watch?v=SYyjel5VuHg Farmer’s Poem

Calculating mean, median, mode, and range of data

Calculating the mean

Yr. 5 Quick check on calculating the mean in science - 2 questions

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