Questions: The range of a set of data is 122 and the minimum value is 87 . To display this data in a histogram, Nat chose intervals of 20 starting with 80-100. How many intervals will her histogram have? a. 7 b. 10 c. 8 d. 9

Solution Steps

The range of the data is given as 122, and the minimum value is 87. We can find the maximum value using the formula for range:

\[ \text{Range} = \text{Maximum Value} - \text{Minimum Value} \]

Substituting the given values:

\[ 122 = \text{Maximum Value} - 87 \]

Solving for the maximum value:

\[ \text{Maximum Value} = 122 + 87 = 209 \]

Nat chose intervals of 20, starting with 80-100. We need to determine how many such intervals are required to cover the data from the minimum value (87) to the maximum value (209).

The intervals are:

• 80-100
• 100-120
• 120-140
• 140-160
• 160-180
• 180-200
• 200-220

The interval 200-220 covers the maximum value of 209. Therefore, there are 7 intervals in total.

Final Answer