Discuss the below:
Measures of Central Tendency
Q1. The number of cardiograms performed each day for 10 days in an outpatient testing center is listed below. Find the mean, median and mode.
29 83 36 52 25 62 54 36 84 49
Q2. Mean of five numbers is 60. When a sixth number is included the mean of the six numbers is 95. What is the sixth number?
Q3. The hourly wages (dollars) of a sample of 20 plumbers are given below. Construct a stem and leaf plot by using the data.
25 31 20 32 13 14 43 17 57 23 36 32 33 32 44 36 52 44 51 45
Q4. An insurance company researcher conducted a survey on the number of car thefts in Los Angeles County for a period of 20 days. The raw data are shown below. Complete the frequency distribution table.
53 78 62 79 60 67 57 69 68 65 74 60 59 71 61 68 73 61 64 54
50-54
55-59
60-64
65-69
70-74
75-79
Q5. Find the mean and modal class for the frequency distribution of miles that 45 runners ran in a week.
Class Frequency
10-20 2
21-31 8
32-42 15
43-53 7
54-64 10
65-75 3
Q6. The given values are the waiting times of 8 customers in a local bank in minutes. Find the range, the first quartile, the median, the third quartile and the inter quartile range of the data.
5 6 12 13 15 18 22 25
Q7. The following data shows the time spent (hours) per week on line for 12 Internet users. Using interquartile range find the inner and outer fences of the data set. Define and detect outliers.
56 65 70 80 37 66 68 86 80 50 82 125
Q8. Using five-number summary what do the letters represent in the box plot.
Q9. Construct a box plot for the given data. In a short paragraph, describe the data. How do you mark the outliers in a box plot?
9 8 15 17 10 14 11 4 12 13 10 13 19 11
Q10. In the following table the weights of 10 female students at State University are recorded to the nearest pound.
118 110 105 100 120 200 90 87 107 110
a) Find the mean, median and mode.
b) Detect outliers?
c) Remove 200 from the calculations. How does that impact the three measures of central tendency?
d) Which is the best measure of central tendency?