Question

A12 Appendix Concepts in Statistics 9. Electric Bille A person had the following m ahal bills for electricity. What are the mean and median of the collection of bills? January $67.92 February $59.84 March $52.00 April S52.50 May S5799 June $6535 $81.76 August September $8782 October $83.18 November $65.35 December $57.00 10. Car Rental A car rental company kept the follow ing record of the numbers of miles a rental car was driven. What are the mean, median, and mode of this data? Monday 410 Tuesday 260 Wednesday 320 Thursday 320 Friday Saturday 150 11. S. Child Families A study was done on families having six children. The table shows the numbers of families in the study with the indicated numbers of girls. Determine the mean, median, and mode of this set of data 15 Teo Scope professor records the following scores for a 100-point exam. 99,64,80, 77, 59, 72, 87, 79,92,88 90, 42, 20,89,42, 100, 98, 84, 78,91 Which measure of central tendency best describes these test scores? 16. Shoe Sales A salesman sold eight pairs of men's black dress shoes. The sizes of the eight pairs were as follows: 10, 8, 12, 10, 10, 9, 11, and 10 Which measure (or measures) of central tendency hest describes the typical shoe size for this data? In Exercises 17-24, find the mean (x), variance (vl, and standard deviation (o) of the set. 17. 4, 10.8.2 18. 3. 15,6,9,2 19. 0,1,1,2,2,2,3,3,4 20. 2.2.2.2.2.2 21. 1,2,3,4,5,6,7 22. 1.1.1.5,5,5 23. 49,62, 40.29, 32,70 24. 1.5.04.2.1.0.7.0.8 Number of girls 0 1 1 2 3 24 45 54 4 50 5 19 7 In Exercises 25-30, use the alternative formula to find the standard deviation of the set. 12. Sports A baseball fan examined the records of a favorite baseball player's performance during his last 50 games. The numbers of games in which the play- er had 0, 1, 2, 3, and 4 hits are recorded in the table. 25.2.4,6,6,13,5 26. 10. 25, 50, 26, 15.33.29.4 27. 246, 336,473, 167,219,359 28. 6.0.9.1, 44,8.7. 104 29. 8.1,6.9.3.7.4.2.6.1 30.9.0.7.5,3.3.7.4.6.0 Number of hits 0 1 2 3 Frequency 14 26 7 2 1 In Exercises 31 and 32, line plots of sets of data are given Determine the mean and standard deviation of each set. 8 10 12 14 16 (a) Determine the average number of hits per game. (b) Determine the player's batting average if he had 200 at-bats during the 50-game series. 13. Think About It Construct a collection of numbers that has the following properties. If this is not possi- ble, explain why it is not Mean - 6, median = 4. mode = 4 14. Think About It Construct a collection of numbers that has the following properties. If this is not possi- ble, explain why it is not Mean=6, median = 6,mode = 4 6 8 10 12

Answer 1

9) Here is the list of monthly bills , sorted in ascending order based on bill amount with calculation of mean.

Location	Month (x)	Bill Amount (X=x) in $
1	March	52.00
2	April	52.50
3	December	57.00
4	May	57.99
5	February	59.84
6	June	65.35	Median = Values at mid of data set=   6th + 7th location value/2 = (65.35 +65.35) /2 = 65.35
7	November	65.35
8	January	67.92
9	August	74.98
10	July	81.76
11	October	83.18
12	September	87.82

(billamount) = 805.69
Total data set size n= 12

mean = bill amount Total data set size 805.69 12 - = 67.14

median = The mid point of the sorted data in ascending order is known as median = As total data set size is 12 , mid point of sorted data would be 6th + 7th location value/2 = (65.35 +65.35) /2 = 65.35

10) Here is the sorted list in ascending order based on miles car driven with calculation of mean.

Location	Day (x)	Miles Driven
1	Saturday	150
2	Tuesday	260
3	Wednesday	320	Median = Values at mid of data set=   3rd + 4th location value/2 = (320 + 320) /2 = 320
4	Thursday	320
5	Monday	410
6	Friday	460

, Total data set size = 6

Miles driven = 1920

mean = Miles driven Total data set size 1920 1920 = 320 6

median = The mid point of the sorted data in ascending order is known as median = As total data set size is 6 , mid point of sorted data would be 3rd + 4th location value/2 = (320+320) /2 = 320

Mode = Mode is a value that occurs most often in given data set. So , as shown in table above , It is evident with above driven miles that 320 Miles have maximum frequency of 2. Hence mode for Car driven in miles is 320 Miles.