Here is a frequency distribution table (HDI) data value frequency 24 18 25 27 26 19 27 26 28 24 Find the following measures of central tendency. mean (z) = (Please show your answer to one decimal place.)

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ISBN:9781119256830
Author:Amos Gilat
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Here is a frequency distribution table (FDT) for a small data set
data value frequency
24
18
25
27
26
19
27
26
28
24
Find the following measures of central tendency.
mean (z) =
(Please show your answer to one decimal place.)
median =
(Please enter an exact answer.)
mode =
(Please enter an exact answer.)
Transcribed Image Text:Here is a frequency distribution table (FDT) for a small data set data value frequency 24 18 25 27 26 19 27 26 28 24 Find the following measures of central tendency. mean (z) = (Please show your answer to one decimal place.) median = (Please enter an exact answer.) mode = (Please enter an exact answer.)
Expert Solution
Step 1

Given data:

Data value (x) Frequency (f)
24 18
25 27
26 19
27 26
28 24

(a) Calculation of mean:

Formula:

x¯=ifxif

Data value (x) Frequency (f) fx
24 18 432
25 27 675
26 19 494
27 26 702
28 24 672
  if=114 ifx=2975

 

Substitute the values in the formula:

x¯=ifxif=2975114=26.0964912326.1

Thus, the value of mean is 26.1

 

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