Subject: Mathematics in the modern world

Direction: Read the questions carefully. Shade the letter of the correct answer. if answer is net provided. shade letter E. Use the answer sheet provided and strictly no erasures. 1. The following are ratio-level variables except for: A. Score in a 10-item quiz 5. Number of household members 0. Temperature in degree Celsius 0. Height oi gumamela plant For items 2-3. A researcher wanted to investigate the relationship of weekly allowance to the academic performance of students studying in a certain university with a total of 2300 enrolled students. To achieve the researchers aim. the researcher interviewed a random sampie of 400 students. Results indicated that the average allowance of the 400 students is PhP 1500. 2. What is the population? A. The group of 2300 enrolled students B. The group of 400 enrolled students (3. The group of 1500 enrolled students D. The group of 2700 enrolled students . Which of the following is a parameter? A. The average allowance of the 2300 enrolled students is Php 1500 E. The average allowance of the 400 enrolled students is Php 1500 C. The proportion of students whose allowance is Php 1500 0. None of the above . Which of the following statements belong to the field oi descriptive statistics? A. A car manufacturer wishes to estimate the average lifetime of batteries by testing a sample of 50 batteries. 5. A shipping company wishes to estimate the number of passengers traveling via their ships next veer using their data on the number of passengers in the past three veers. o. A marketing research group wishes to determme the number of families not eating three times a day in the sample used for their survey. 0. A politician wants to predict his chance of winning in the senatorial election by conducting a sunrev on 1200 registered voters. 5. What type of chart is useful in presenting historical data and in showing the movement of a series overtime? A. Line chart B. Bar chart 0. Pie chart D. Pictograph UNIT 4: Data Management PRETEST For items 5 - 8. refer to the table below: The distribution of the number of mistakes made by 285 students in a1DD-itern Math Exam Number of Mistakes ?-12 '5 1343 \""24 25*30 43 '1- . What is the class width or class size? A. 5 0.? B. I5 I13 . What is the relative frequency of the class interval 19 - 24? A. 0.1298 C. 0.09 B. 12.98% D. em . What is the lower class boundary of the class interval 25 + 30? A. 5.5 C. T.5 B. 24.5 D. 30.5 . It is a measure of the central tendency obtained by getting the mide value in distribution when the values are arranged in ascending or descending order. A. Mean C. Weighted Mean B. Median D. Mode 10. It is most commonly occurring value in a distribution. A. Mean C. Average B. Median D. Mode 11. The reseller's income in Heng De face shield for seven days were, Php 1220. Php 1345. th 1000, th 2521, th1590. F'hp 1345 and F'hp 1540. What the reseller's average income? A. Php 1.506.142 C. Php 1.35032 B. B. F'hp 1.50831 D. th 1.545.013 12. Consider the sample What the median of the set of data: 23. 19. 28, 20. 1B, 9. 20, Y and 18. A. 19 C. 19.5 B. 20 D. 20.5 13. It is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance. A. range 0. standard deviation B. variance D. coefficient of variation GEGtIATHIHTl-Emm UNIT 4: Data Management PRE-TEST 14. The highest score in the distribution is 129 while the lowest score is 72. What is the range? A. 54 C. 56 B. 55 D. 57 15. Which scenario will give you a coefficient of variation of 40%? A. Mean of 4 and standard deviation of 160 B. Mean of 4 and standard deviation of 20 C. Mean of 40 and standard deviation of 16 D. Mean of 16 and standard deviation of 4. 16. It is used when one wishes to compare the scatter of one distribution with another distribution with different units of measure. A. Measures of Location C. Measures of Position B. Measure of Central Tendency D. Measures of Relative Dispersion 17. It is a value that divide a set of observations into 10 equals parts. A. Quartiles C. Deciles B. Percentiles D. Fractiles 18. It is another way of telling whether or not the distribution of the data is symmetric relative to the median. A. Boxplot C. Quartiles B. Z-scores D. Fractiles For items 19 and 20, consider the life span (in years) of a certain species below. 1.6 1.9 2.2 2.5 2.6 2.6 2.9 3.0 3.0 3.1 3.1 3.1 3.1 3.2 3.2 3.2 3.3 3.3 3.3 3.4 3.4 3.4 3.5 3.5 3.6 3.7 3.7 3.7 3.8 3.8 3.9 3.9 4.1 4.1 4.2 4.3 4.4 4.5 4.7 4.7 19. What is Q2 for the distribution of life spans? A. 3.1 C. 3.8 B. 3.4 D. 4.7 20. What is the 65th percentile of the 40 life spans? A. 2.9 C. 3.7 B. 3.3 D. 4.4 For items 21 and 22, a lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way trip is 28 minutes, with a standard deviation of 2.4 minutes. Assume the distribution of trip times to be normally distributed. 21. What is the probability that a trip will take at most 33 minutes? A. 0.0285 C. 0.8135 B. 0.5071 D. 0.9814 GEC 4: MATH IN THE MODERN WORLDUNIT 4: Data Management FEE-TEST 22. If the office opens at 3:00 A.lvl. and the lawyer leaves his house at ?:35 AM. daily. what percentage of the time is he late for work? A. 0.04% C. ?3.21% E. 89.44% D. 11.99% 23. The center of a standard normal curve is A. always equal to zero B. the mean of the distribution C. the standard deviation D. never negative 24. Which of the following would be an appropriate null hypothesis? A. The mean of a population is equal to 1?. B. The mean of a population is greater than 1?. C. The mean of a sample is equal to 1?. D. The mean of a sample is greater than 1?. 25. Type I error means A. rejecting a true null hypothesis H. accepting a true null hypothesis 0. rejecting a false null hypothesis El. accepting a false null hypothesis 2E. A researcher wants to determine if there is a significant difference in the IQ scores of male and female students. What must be the appropriate null hypothesis? A- \"Male 3' tunnels 0* Fuel: 3" Hamel: 3- finale '5 1\"qu '1 Xalc 1' xfma 2?. It is the probability of rejecting a true null hypothesis A. level of signicance C. Type II error E. Typel error D. test of hypothesis For items 28 30. an instructor at a certain university asked a sample of eight students to record their study times in a beginning statistics course. She wanted to detennlne whether there is a relationship between total hours stowed {it} over two weekds and test score {it} at the end of two weeks. The SPSS results are as follows. osceummmsuoomum UNIT 4: Data Management PRE-TEST '. Correlation is significant attha one level {Z-lailedi. 23. What can you infer lrom the scatterplot? A. There is no linear relationship between hours studied and test score. B. There a positive linear relationship between hours studied and test score. C. There is negative linear relationship between hours studied and test score. D. Cannot be determined 29. What is the correlation coefcient between hours studied and test score? A. {H75 C. (1.500 B. 0.534 D. 3.533 30. Which of the following statements is true'iI A. As the number at hours of study increases. the test score increases B. As the number at hours of study decreases. the test score decreases C. As the number at hours it study increases. the test score decreases D. Cannot be determined EEG I: IATH III THE IDDEIIII mm Page I! BASIC CONCEPTS IN STATISTICS Let's Have Your Turn Assessment 11: Complete Me I. The average number of hours a student spends studying in a week is 21 based on 3,125 students enrolled in a university. Fourth year students who did not have this information intenriewed 100 students and found their average number of hours spent studying is 18. Identity the following. Variable: Population: Sample: Parameter: Statistic: II. Determine whether the following statements belong to the field of descriptive statistics or inferential statistics. 1. Ian wants to estimate the electricity bill in the next month using the data on the monthly electricity bills in the last six months. Answer: . Marie wishes to determine the average amount she spends it online shopping per month. She checks her purchase history in Shopee in the last six months. Answer: . |Gris wants to determine the total amount spent for cat food in the past five months. Answer: . Sheena wants to determine the average exam scores of her students in their summative test. Answer: . Tine wants to predict the number of enrollees for the next school year based on enrollment data in the last five years- Answer: ml: ummmmm CW] UNIT LESSON BASIC CONCEPTS IN STATISTICS 4 Let's Have Your Turn Ill. Classify the following variables by a) type and b) level of measurement. If the variable is quantitative, determine whether it is discrete or continuous. Type of Variable Level of Measurement 1. Brand of cellphone 2. Amount of rice (in cups) ordered in an eatery 3. Number of cars parked inside CPSU 4. Favorite snack (fries, burger, pizza, etc.) 5. Jeans size (26, 27, 28, ...) 6. Body temperature (in Celsius) 7. Time (in hours) spent playing mobile games 8. Satisfaction level (Very satisfied, satisfied, dissatisfied, very dissatisfied) 9. Network carrier (Globe, Smart, TM,..) 10. Amount spent (in pesos) on load per week GEC 4: MATH IN THE MODERN WORLD CAS-CPSU