I. (20 pts;10 pts for part ‘a\"; 5 pts forV and e) For the followi ng questions,

Question

I. (20 pts;10 pts for part ‘a"; 5 pts forV and e) For the followi ng questions, refer to the bar chart below. Cellular Phone Sales 50000 48000 40000 40000 40000 30000 25000 30000 20000 10000 2007 2008 2009 2010 2011 Year a) According to the data, write a statement that describes both of cellular phone sales in a certain market between 2007-2012. Be complete in your answer. the central tendencies and variation in the data for sales b) The sum of sales of cellular phones in the years 2009 and 2011 is equal to that in what c ,occ +18, ac 46.OOD year? c) The percentage increases in sales from 2011 to 2012 was?

Explanation / Answer

Answer to part a)

The two measures of central tendency explained in the graph are:

Median: If the 6 values of sales are arranged in ascending order, the middlemost of them is termed as the median

18000, 25000, 30000, 40000, 40000, 48000

The two middlemost values are: 30000 and 40000

Median = (30000+40000)/2

Median = 35000

.

Another measure of central tendency provided by this graph is Mode

Mode is the measure that corresponds to highest frequency

We observe that year 2007 has the highest sales, and hence mode is 48000

.

The measure of dispersion best shown by this graph is Range

Range = Highest observation – Lowest observation

Range = 48000 – 18000

Range = 20000

.

Answer to part b)

For 2009 the value is 30000

For 2011 the value is 18000

Add = 30000+18000 = 48000

This is equal to the sales of 2007

.

Answer to part c)

Formula of percent increase = (Sales of 2012 – sales of 2011) / Sales of 2011

Formula of percent increase = (40000 – 18000) / 18000

Formula of percent increase = 1.22

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