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Question

# Draw a histogram to represent the following frequency distribution. Class – Interval Frequency 10 – 19 7 20 – 29 10 30 – 39 20 40 – 49 5 50 – 59 15

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Solution

## The given frequency distribution is: To draw a histogram for this frequency distribution, we follow the steps below. Step 1: Since the given frequency distribution is in inclusive form, we need to convert this frequency distribution into exclusive form. Thus, on converting into exclusive form, we get the frequency distribution below. Step 2: We draw the x and y-axes. Step 3: We choose a proper scale for the axes. Let 1 cm = 10 on the x-axis and 1 cm = 5 on the y-axis. Step 4: We mark the class intervals on the x-axis as (9.5−19.5), (19.5−29.5), (29.5−39.5), etc. Step 5: We draw a rectangle of height 7 cm on the first class interval (9.5−19.5). Step 6: We draw a second rectangle of height 10 cm on the second class interval (19.5−29.5). We follow the same procedure for the remaining class intervals and the corresponding frequencies. Thus, we get the required histogram for the given frequency distribution as shown below.

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