Given the following data, compute for the mean, median and

scottyqegi

scottyqegi

Answered question

2021-12-06

Determine the mean, median, and mode based on the following information. B. Age of participant in a dance contest. 13,18,12,21,18 15,12,16,22,23 12,14,17,20,21.

Answer & Explanation

Forneadil

Forneadil

Beginner2021-12-07Added 18 answers

Step 1
First we have to the write the data in to ascending order
12, 12, 12, 13, 14, 15, 16, 17, 18, 18, 20, 21, 21, 22, 23.
so, number of the sample size is n=15
There is asked to find the mean , median and mode.
So, first we have to calculate the mean value is,
X=Xin
=12+12+12+13+14+15+16+17+18+18+20+21+21+22+2315
=25415
=16.93
Therefore, the mean is 16.93.
Step 2 We have to calculate the median is,
It is odd number of sample, the total number of sample is 15, so the middle value is median.
Therefore, median is 17
Now, we have to find the mode value,
The observation with maximum frequency is mode value .
Here, 12 is the mode value, because 12 is frequently repeated from the data.
Therefore mode value is 12.
Answer: Mean =16.93
Median =17
Mode =12

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