Find the mean, median, and mode of the following data: (round

podnescijy

podnescijy

Answered question

2021-11-29

Find the mean, median, and mode of the following data:
(round to 1 decimal place as needed)
35,12,17,30,12,29,33,12,29,15
Mean=?
Median=?
Mode=?

Answer & Explanation

Witheyesse47

Witheyesse47

Beginner2021-11-30Added 14 answers

Step 1
From the provided information,
The data is as follow:
35, 12, 17, 30, 12, 29, 33, 12, 29, 15
Sample size (n)=10
Step 2
The mean can be obtained as:
x=Sum of all observationsTotal observations
=35++1510
=22.4
Thus, the required mean is 22.4.
Step 3
Arranging the data into ascending order:
12, 12, 12, 15, 17, 29, 29, 30, 33, 35
Since, the observation number is even, so the required median can be calculated as:
Median =(n2)thterm+(n2+1)thterm2
=(102)thterm+(102+1)thterm2
=5thterm+6thterm2
=17+292
=23
Thus, the required median is 23.
Step 4
Mode is most occurred value of any provided data set.
12 is occurring the most that is three times.
Therefore, the mode of the data is 12.

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