Question

Measures of location - Mean, median, and mode
Consider the following set of sample data.
20 25 25 36 42 56 6974 98 100
For the given data, the mean is______ , the median is_______ , and the mode is_______ Suppose the value 98 in the data is mistakenly recorded as 78 instead of 98. For the sample with this error, the mean______ is the median is________ , and the mode is_______ . The mean the median________ , and the mode_______ Suppose the value 98 in the original sample is inadvertently removed from the sample. For the sample with this value removed, the mean is ______, the median is_______ , and the mode is_________ .

Answer 1

Step-by-step explanation:

1.

20+25+25+36+42+56+69+74+98+100 = 545

n = 10

Mean = 545/10

= 54.5

Median = 42+56/2 = 98/2 = 49

Mode = 25 since it occurred twice

2.

If 98 is recorded as 78

20+25+25+36+42+56+69+74+78+100

= 525

Mean = 525/10 = 52.5

Median = 42+56/2 = 98/2 = 49

Mode = 25

3.

If 98 is removed

20+25+25+36+42+56+69+74+ 100= 447

n = 9

Mean = 447/9 = 49.6

Median = 42

Mode = 25