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QUESTION IMAGE

using intervals of width 10, how many intervals are needed for this gra…

Question

using intervals of width 10, how many intervals are needed for this graph to be drawn correctly?
5 or fewer
between 6 and 10
between 11 and 19
25 or more
fast pax
number of employees: 12
average salary: $39,500
fast pax employee salaries

Explanation:

Step1: Find the range of the data

The maximum value in the salary intervals (from the x - axis of the histogram: \(0 - 19\), \(20 - 29\), \(30 - 39\), \(40 - 49\), \(50 - 59\), \(100 - 199\), \(200 - 299\)) is \(299\) (from the \(200 - 299\) interval) and the minimum value is \(0\). The range \(R=299 - 0=299\).

Step2: Calculate the number of intervals

The formula for the number of intervals \(n=\frac{R}{w}\), where \(w = 10\) (width of each interval). So \(n=\frac{299}{10}=29.9\). Since the number of intervals must be an integer, we round up to the next whole number.

Answer:

25 or more