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- 4.- For the following data set 10, 7, 6, k, 4, 7, 1, 10. Find the value of k so that (a) X = 6.25 (b) X = 7.5 Villalobos 2020 22 (c) M = 7 (d) MR = 10 CHAPTER 3. DATA DESCRIPTION3. a) Consider the dataset below: . Calculate the mean for this dataset Calculate the standard deviation b) If we add 3 to each datapoint from part a, we get the following dataset: 45 68 8 Calculate the mean for this dataset . Calculate the standard deviation 1 2 3 5 5 c) If we multiply each datapoint from part a by 2, we get the following dataset: 2 4 6 10 10 • Calculate the mean for this dataset • Calculate the standard deviationQ21. State whether each of the following variables is an example of an independent variable (1) or a quasi-independent variable (Q). Just say I or Q 1. Gender: Ethnicity: Exposure to supplements during the experiment: Environment of research setting: ii. iii. iv. V. Sexual orientation: vi. Physical activity: Q22. Below you have the age for 20 students at Higherove community. Complete the following: Construct a simple frequency distribution for grouped data; display your findings in a table (number of intervals should be 5) i. ii. iv. V. WINN Add a column to your table with the relative percent Add a column to your table with the cumulative percent (bottom up) Construct a histogram that distributes the intervals along the horizontal scale (x-axis) and list the frequency of scores in each interval on the vertical scale Construct a pie chart (when drawing the chart, you do not have to be very accurate in- terms of the angles) Grade 8 14 11 6 17 9 14 19 15 10 15 12 0 16 13 24 8 10 14 7 X
- If the mean of five observations is 8 and their deviations about their mean :are Then the value of the .4,0,5-,3,2- =second observation is 3 O 6 O 11 OConsider the data set A (2,5,5,5,6,8) A) find the mode, median and mean. B) use the computation formula the compute the standard deviation3) The calculation of the range is based on all values of data set. Select one: True False
- 5. The female students in an undergraduate engineering core course at UH self-reported their heights to the nearest inch. The data is as follows. 62 64 61 67 65 68 61 65 60 65 64 63 59 68 64 66 68 69 65 67 62 66 68 67 66 65 69 65 69 65 67 67 65 63 64 67 65 First construct the frequency distribution Table like Table 6-4 on Page 213 of textbook where you only need to specify the classes/bins, frequency info. Then using the table to create the histogram; here let the height of rectangle (for each bin) equal to the frequency instead of relative frequency in your histogram even though you can also set the height as the relative frequency. Hint: create the frequency distribution table by hand, but you can create the histogram in Excel and insert the result as a figure.1. Given the data set: {3, 5, 6, 9, 4,7,4,2,3,9, 1, 3, 8} provide the following rounded to two decimal places if needed) The mean а) b) The median The mode c) The range _The midrange d) e The five number summary f) g) A box and whisker plot: draw below using the provided number line for scale. 3 6 10 1 2 4 7 89 h) Is this data set skewed_yes - positive/right, yes - negative/left or no - symmetric (circle one) _The standard deviation (O i) j) Most of the data in the set above are between - 6 and u6. Calculate these values and verify this statement based on the set above. k) According Chebyshev's Theorem, what fraction of the set lie within 2 standard deviations of the mean? Verify this based on the set above15. Research results suggest that IQ scores for boys Plomin, 2006). A typical study looking at 10-year-old are more variable than IQ scores for girls (Arden & size would be reported in a journal article. children classifies participants by gender and by low. average, or high IQ. Following are representing the research results. Do the data indicate a significant difference between the frequency distri- butions for males and females? Test at the .05 level of significance and describe the difference. hypothetical data 1 IQ Low Average High Вoys 18 42 20 80 Girls 12 54 14 80 n = 160 Int Ava
- 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?6) The accompany box-and-whisker plot summarizes test scores on a math test taken by 24 students LV 42 Q1 Q2 55 73 al What percentage of students scored above 84? b) How many test scores were below 73? L Q.3 84 HV 94Q.2 A random sample of marks scored by students during Mid Semester Exam are as follows. 12, 15, 18, 11, 16, 14, 9, 17, 18, 19, 11, 12, 15, 18, 11, 16, 14, 9, 17, 18, 19, 11, 12, 15, 18, 11, 16, 14, 9, a) Construct a table that gives the frequency distribution of this data. b) Construct a table that gives the relative frequency distribution of this data. c) Construct a frequency histogram of this data. d) Construct a relative frequency histogram of this data. e) Find the sample mean for this data set. ) Find the median of this data set. g) Find the mode of this data set. h) Find the sample standard deviation of this data set. i) Construct an ogive curve of this data.