all one problem. thank you 2 21.011 MI he shape of the underlying population dis

Question

all one problem. thank you

2 21.011 MI he shape of the underlying population distribution. The histograms on below are based on random samples of size 30, 50, and 100 from the same the underlyin Histograms of random sample data are often used as an indication of (ii) Sample of size 50 (G) Sample of size 30 12 10 13 12 10 (iti) Sample of size 100 a) using the midpoint labels of the three histograms, what would you say about the estimated range of the population data from smallest to largest? Complete the table giving the range of the sample data in each of the histog 13 12 10 Value

Explanation / Answer

a)

Lowest

Highest

Histogram 1

9.25

14.25

Histogram 2

8.75

14.25

Histogram 3

9.25

14.75

Most reasonable estimate of range of population data

9 to 15 (as it covers almost 99.7% of data)

Does the bulk data seem to be in 10 to 14

Yes, Option 5. There are very less values outside of 10 to 14 and thus we can say that data is between 10 and 14

b)

The highest bar in histogram 1 is at the value of x of 12 units

The highest bar in histogram 2 is at the value of x of 12 units

The highest bar in histogram 3 is at the value of x of 11.5 units

In histogram 1: 28.5/30 = 95 % of data is between 10 and 14 inclusive, and 100% of data is between 9 and 14 inclusive

In histogram 2: 45.5/50 = 91 % of data is between 10 and 14 inclusive, and 49.5/50 = 99% of data is between 9 and 14 inclusive

In histogram 1: 96.5/100 = 96.5 % of data is between 10 and 14 inclusive, and 100% of data is between 9 and 14 inclusive

Lowest

Highest

Histogram 1

9.25

14.25

Histogram 2

8.75

14.25

Histogram 3

9.25

14.75

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