Illustration: Ten thousand books are grouped in six lots A, B, C, D, E and F according to their prices. How many would be in lots B=C=D= E if it is assumed that (a) the distribution is normal (b) the mean lies at the boundary between C and D and (c) each of the group intervals B, C, D, E, corresponds to standard deviation.
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- The following table shows the number of people that are either 18, 19, 20 or 21 years old, from a sample of 258 people. a) Complete the table. Age Number of people 18 54 19 69 20 70 21 (b Find the mean for this sample. Give your answer to at least 2 decimal places. (c Find the standard deviation for this sample. Give your answer to at least 2 decimal places.1. In a distribution of six scores, the deviations from the mean for five of the scores are +5, +3, +1, 0, and-3.What is the value of the deviation for the sixth score? 2. On the midterm exam in their anthropology course, Jan’s deviation score was +5, Kim’s was -12, andLeslie’s was 0.a) of these three, who did the best and who did the worst?b) the mean for the class was 80. What was the raw score for Jan, Kim, and Leslie?For a population that has a standard deviation of 22, figure the standard deviation of the distribution of means for samples of size (a)2, (b)4, (c)5 and (d)10.
- Karl Pearson developed a measure that describes the skewness of a distribution, called the coefficient of skewness. The formula is Skewness = 3 (mean-median)/standard deviation. The value of this measure generally lies between -3 and +3. The closer the value lies to -3, the more the distribution is skewed left. The closer the value lies to +3, the more the distribution is skewed right. A value close to 0 indicates a symmetric distribution. Find the coefficient of skewness of the following distributions and comment on the skewness. Mean = 100, median = 100, standard deviation = 15The following graph, showing the distribution of the heights of 8585 men, is an approximation to a nearly normal distribution. The mean is approximately 68 inches and the standard deviation is approximately 3 inches. 1500 1200 900- 600 300 56 58 60 62 64 66 68 70 72 74 76 78 80 1) How many of these men are between 5'5" and 5'11" tall ? (that is one standard deviation of the mean) 2) How many men are between 5'2" and 6'2" tall ? (2 st. dev.) 3) How many men are less than 5'2" tall ? 4) What percent of the men are taller than 71 inches?What is the mean and standard deviation of the sampling distribution of X¯X¯ for n = 16, if the sampled population has a mean of 48 and a standard deviation of 12? Select one: a. 4 and 1 b. 12 and 3 c. 48 and 3 d. 48 and 1 e. 48 and 12
- .After 4 points are added to every score in a distribution, the mean is calculated and found to be μ = 26. What was the value of the mean for the original distribution? A. 30 B. Cannot be determined from the information given C. 34 D. 22Average monthly wages (per employee) in 4 sectors of an economy are as follows: industry: 2000 dinars, building: 2200 dinars, agriculture: 1500 dinars, services: 1800 dinars. Number of people employed in the four sectors are 5 million, 2 million, 6 million, and 2 million, respectively. Using the concept of harmonic mean compute the average monthly wages in the economy under consideration.
- A set of final examination grades in an introductory statistics course was found to be normally distributed with a mean of 73 and a standard deviation of 8. Calculate: a.the percentage of students scored between 75 and 90 ( using Rstudio) b.the test score higher than what grade if only 5% of the students taking the test (manually and using R studio)Build the frequency distribution table with 5 classes, and for the following observations for some students marks? then Answer the following Questions from the constructed table... A) Which class has maximum frequency?... B) Which class has minimum frequency? .. C) Classify the ?type of table 88 39 38 45 50 76 78 33 28 36 88 46 67 72 58 30 85 56 51 42 38 68 67 84 41 52 76 69 41 685 トKarl Pearson developed a measure that describes the skewness of a distribution, called the coefficient of skewness. The formula is Skewness = 3 (mean-median)/standard deviation. The value of this measure generally lies between -3 and +3. The closer the value lies to -3, the more the distribution is skewed left. The closer the value lies to +3, the more the distribution is skewed right. A value close to 0 indicates a symmetric distribution. Find the coefficient of skewness of the following distributions and comment on the skewness. Compute the coefficient of skewness for this data (See photo): The following data represent the length of eruption for a random sample of eruptions at the Old Faithful geyser in Calistoga, California.