thanks 5. The owner of a smal company employs 6 people. As part of their personnel file, sheasked each one to record to the nearest one-tenth of a mile the distance they travelone way from home to work. The distances are:38. 15. 24,52.15,39The variance of the data set is:A. 13.6229C. 185.5833B. 14.9231D. 222.76. According to the empirical rule, approximately what percentage of normally distributeddata lies within one standard deviation of the mean?A. 59%B. 68%C. 95%D. 99.7%7. Which measure of central tendency can be used for both numerical and categoricalvariables?C. ModeA. MeanB. MedianD. Range8. Which of the following statements about the median is NOT true?A. It is more atffected by extreme values than the mean.B. It is a measure of central tendency.C.It is equal to second quartile.D. It is equal to the mode in bell-shaped distributions.9. The members of the Engineering Club promised to give the following monetary donationsfor COMD-19 response activities in a certain city: 10 members pledged Php9000 each,15 members pledged Php10000 each, 20 members pledged Php15000 each, 11members pldeged Php14000 each, 17 members pideged Php7000 each, 24 memberspledged Php9500 each, 19 members pldeged Php12000 each, and 7 members pledgedPhp12500 each. What is the median amount of members' pledged donations?A. Php9500B. Php10000C. Php12000D. Php1250010. Suppose that the variance for 40 observations is 50. If all the observations are increasedby 20, the resulting variance of these increased values will be?A. 2.5C. 70B. 50D. 40011. Data on the time an online banking transaction is completed, gathered from 400randomly selected online banking transactions produced the following summarystatistics: 8 = 21.3 seconds; s= 1.7 seconds. At least what proportion of the data lies within2standard deviations from the mean?A. 20%B. 72.6%C. 86.8%D. 91% 1. Which of the following statements is NOT TRUE for the mean?A. Every set of interval-level data has a mean value.B. The mean is not affected by extreme values in the data set.C. A data set has only one mean value.D. The total of the deviations or differences of every observation from the mean iszero.2. The computation of the arithmetic mean requires at least theA. nominal level of measurement.B. ordinal level of measurement.C. interval level of measurement.D. ratio level of measurement.3. The number of vehicles passing through a traffic monitoring device during each 30minute period was recorded. The results are shown below. Find the median number ofvehicles.2823292526232322262533292729231813252525A. 24.85В. 25C. 26D. 294. The distributions of data set have different shapes. The distribution may be symmetricalor asymmetrical. If a distribution is asymmetric, it is either positively skewed or negativelyskewed. If the data set has lower frequencies of smaller data values, then the datadistribution is said to beA. BimodalB. Skewed to the rightC. Skewed to the leftD. Unimodal

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Question no. 5
We have to given that, 
The distances of the data set are :-
52, 38, 15, 24, 15, 39…