TEST A(For Ungrouped Data) NOTE: This test was taken from the book Introduction to Statistics Third Edition by Ronald E. Walpole. 1. The number of incorrect answers on a true-false competency test for a random sample of 15 students were recorded as follows: follows: 2, 1, 3, 0, 1, 3, 6, 0, 3, 3, 5, 2, 1, 4, and 2. Find a.) the mean; b.) the median; and c.) the mode. 2. The number of building permits issued last month to 12 construction firm in a small Midw Midwes este tern rn city city were were 4, 7, 0, 7, 11, 4, 1, 15, 15, 3, 5, 8, and 7. Treati Treating ng the data data as a population, find a.) the mean; b.) the median; and c.) the mode. 3. The reaction times for a random sample of 9 subjects to a stimulant were recorded as 2.5, 3.6, 3.1, 4.3, 2.9, 2.3, 2.6, 4.1, and 3.4 seconds. Calculate a.) the mean; and b.) the median. 4. The employees of a local manufacturing plant pledged the following donations, in dollars to the United Fund: 10, 40, 25, 5, 20, 10, 50, 30, 10, 5, 15, 25, 50, 10, 30, 5, 25, 45, and 15. Treating the data as a population, calculate a.) the mean; and b.) the mode. 5. Accord According ing to ecolog ecology y write writerr Jacque Jacquelin line e Kille Killeen, en, phosp phosphat hates es conta containe ined d in househ household old detergents pass right through our sewer causing lakes to turn into swamps that eventually dry up into deserts. The following data show the amount of phosphates per load of laundry, in grams grams,, for a rando random m sample sample of vario various us types types of deterg detergent ents s used used accor accordin ding g to the prescribed directions: Laundry Detergent A & P Blue Sail Dash Concentrated All Cold Water All Breeze Oxydol Ajax Sears Fab Cold Power Bold Rinso
TEST B(For Grouped Data)
Phosphates per Load(gm) 48 47 42 42 41 34 31 30 29 29 29 26
NOTE: This test was taken from the book Elements of Statistics Third Edition by Elmer B. Mode. 1. The number of cases per year and the mean number of days of in-patients at a cerain hospital are tabulated below. What is the overall mean number of days per patients? Ward
Mean No. of Days
No. of Cases
Surgical
20
180
Medical
15
237
Maternity
16
96
Children
14
68
2. The mean hourly rate of pay for each of four industries and the number of employed in each are given below. Compute the overall mean hourly rate. No. of Employed
Rate in Dollars
463,000
1.3
1,328,000
1.42
217,000
2.68
97,000
2.11
3. The weights in milligrams of the dry contents of a certain type of ampul : Weights
Number
80-84
2
85-89
7
90-94
18
95-99
32
100-104
14
105-109
10
110-114
3
115-119
1
120-124
1
Find the mean, median and the mode.
4. A mathematics achievement test contained 40 questions for which the answers were marked either right or wrong. The distribution below summarizes summarizes the results. Find the mean, median and the mode.
No. of No. of Answers Correct
Frequency
0-2
0
3-5
1
6-8
3
9-11
10
12-14
11
15-17
17
18-20
24
21-23
25
24-26
22
27-29
16
30-32
7
33-35
3
36-40
0
5. Intelligence quotients of runaway boys(from boys(from Clairette Clairette P. P. Amstrong 660 Runaway Runaway Boys, Richard C. Badger, Gorham Press, Boston, 1932 p. 31). Find the mean, median and the mode.
I.Q.
Number
30-39
2
40-49
6
50-59
60
60-69
140
70-79
184
80-89
139
90-99
78
100-109
37
110-119
14
