Question

A manufacturer of electronic components is interested in determining the lifetime of a certain type of battery. A sample, in hours of life, is as follows 123, 116, 122, 110, 175, 126, 125, 111, 118, 117.

Calculate:  Sample Mean, Sample Median, 20% trimmed Mean, Quartiles: Q1, Q2 and Q3

 Interquartile range: IQR = Q3 –Q1 , Lower bound = Q1 - 1.5(Q3 - Q1), Upper bound = Q3 + 1.5(Q3 - Q1).

 Maximum, Minimum, Range = Max – Min, Sample Variance, Sample Standard deviation.  Stem and leaf, Dot plot.

Answer 1

Solution:

Sample mean:

Sample Median:

First we need to sort the ascending order as:

20% trimmed mean

We need to sort the data in ascending order as:

Quartiles:

We need to sort the data in ascending order:

Therefore,

Therefore,

Therefore,

Interquartile range:

Lower bound:

Lower bound

  

  

  

  

Upper bound:

Upper bound

  

  

  

  

Maximum:

Minimum:

Range:

Sample variance:

Sample standard deviation:

Stem and Leaf Plot:

Dot Plot.