Question

you work as a contracted php developer. the following data set represents the number of hours you have spent weekly working on a specific project for an automobile finance company {13, 4, 16, 10, 20, 7, 9, 7, 4, 3, 6, 6, 13, 17, 11, 1, 19, 21} identify the histogram that accurately represents the data. a image, b image, c image, d image

Explanation:

Step1: Organize data into intervals

First, we define the intervals for the histogram. Let's assume the intervals are \(0 - 5\), \(5 - 10\), \(10 - 15\), \(15 - 20\), \(20 - 25\).

Now, we count the frequency of each interval:

• For \(0 - 5\): The data points are \(4, 4, 3, 1\). So frequency \(= 4\).
• For \(5 - 10\): The data points are \(7, 9, 7, 6, 6\). So frequency \(= 5\).
• For \(10 - 15\): The data points are \(13, 10, 13, 11\). So frequency \(= 4\).
• For \(15 - 20\): The data points are \(16, 17, 19\). So frequency \(= 3\).
• For \(20 - 25\): The data points are \(20, 21\). So frequency \(= 2\).

Step2: Compare with the options

Now we check the histograms:

• Option A: Doesn't match our frequency counts.
• Option B: Doesn't match our frequency counts.
• Option C: Doesn't match our frequency counts.
• Option D: The frequencies (4, 5, 4, 3, 2) match the counts we calculated for each interval.

Answer:

D