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Introduction of Statistics
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Statistics in Education (Ed. Cor 202)Worksheet on Mean, Mode & Mode
TEST 1 (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: 2, 1, 3, 0, 1, 3, 6, 0, 3, 3, 5, 2, 1, 4, and 2. Find
a.) the mean; 2.4
b.) the median; and 2
c.) the mode. 3- unimodal
2. The number of building permits issued last month to 12 construction firm in a small Midwestern city were 4, 7, 0,
7, 11, 4, 1, 15, 3, 5, 8, and 7. Treating the data as a population, find
a.) the mean; 6
b.) the median; and 6
c.) the mode. 7- unimodal
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 3.2
b.) the median. 3.1
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 22.37
b.) the mode. 10- unimodal
5. According to ecology writer Jacqueline Killeen, phosphates contained in household 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, for a random sample of various types of detergents used according to
the prescribed directions, calculate the average phosphates in grams of various laundry detergents.
Laundry Detergent Phosphates per Load(gm)
A & P Blue Sail 48
Dash 47
Concentrated All 42
Cold Water All 42
Breeze 41
Oxydol 34
Ajax 31
Sears 30
Fab 29
Cold Power 29
Bold 29
Rinso 26
MEAN=428/12= 35.66 MEDIAN= 34+31= 65
65/2= 32.5
MODE= 29- unimodal
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