(a).

The landing speeds in miles per hour of commercial airplane flights at a certain  airport are  shown.

To create a histrogram, write the speeds in ascending order.

Table 1 :

Find the Range :

The range can be calculated by .

Therefore the range is .

Identify an interval for the Histogram :

The interval for the histogram can be calculated by using the formula .

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Tabulate landing speed and frequencies for each flight and plot the histogram.

                                               Table 2

Histogram :

(b).

Calculate Minumum Value :

From Table 1:

Minimum value is .

Calculate First quartile :

Since there are observations and it is an even number consider the lower half.

The first quartile of a group of values such that of the values fall at or below this value.

The first quartile is the average of and observations of the group.

Therefore the .

Calculate the Median :

The median seperates the lower half and the upper half,because there are observations,

which are even the median lies between and .

.

Therefore .

Calculate the Third quartile :

Since there are observations and it is an even number consider the upper half.

The third quartile of a group of values is the value such that of the values fall at or below this value.

The third quartile is the average of and observations of the group.

.

Therefore the .

Calculate Maximum Value :

From Table 1:

Maximum value is .

(a).

 Histogram :

The tail extends to the left, so the graph is negatively skewed.

You can analyze the scale of the graph or use the TRACE feature to determine that the

peak is in the interval and the smallest columns are and .

Therefore, the majority of the landings occurred between and , with few that were greater than or less than .

(b).

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The landing speeds ranged from to , the median landing speed was , and half of the speeds were between and .