Consider the data: 12, 9, 11, 15, 13, 15, 16

gamau6v

gamau6v

Answered question

2021-11-29

Consider the data: 12, 9, 11, 15, 13, 15, 16 (Show your work.)
a) Determine the mean.
b) Determine the standard deviation.
c) Determine the median.

Answer & Explanation

Fesion

Fesion

Beginner2021-11-30Added 24 answers

Step 1
To determine,
Mean
Median
Standard Deviation
Given data:
n=7
Step 2
a) Mean:
12+9+11+15+13+15+167=917
=13
The mean is 13.
b) Standard Deviation:
σ=1Ni=1N(xiμ)2.
σ2=(xiμ)2N
=(1213)2++(1613)27
=387
=5.4285714285714
σ=5.4285714285714
=2.3299294900429
The Standard Deviation is 2.3299.
Step 3
c) Median:
Sorted Data Set: 9, 11, 12, 13, 15, 15, 16
Median = Mid value of the given set
Median =13
The median is 13.

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