Let's examine the histogram and solve the questions:

The histogram has four intervals for the number of M&M's:

1. 13-16 with a frequency of 3
2. 17-20 with a frequency of 5
3. 21-24 with a frequency of 6
4. 25-28 with a frequency of 4

To find the relative frequency, we calculate the frequency of each interval as a fraction of the total frequency.

Step 1: Total Frequency

Total frequency = 3 + 5 + 6 + 4 = 18

Step 2: Relative Frequency Calculations

a. Relative frequency of bags containing 17–20 M&M's: $\frac{5}{18} \approx 0.278 \text{ or } 27.8\%$

b. Relative frequency of bags containing 25–28 M&M's: $\frac{4}{18} \approx 0.222 \text{ or } 22.2\%$

Answers:

• a. 0.278 (or 27.8%)
• b. 0.222 (or 22.2%)

Would you like further details or have any questions?

Related Questions

1. How do you interpret relative frequency in a dataset?
2. What is the cumulative frequency for the intervals up to 20 M&M's?
3. How would you calculate the mean number of M&M's based on this histogram?
4. How can we determine if the data is skewed by observing the histogram?
5. How would the relative frequencies change if an additional interval was added with a frequency of 2?

Tip

When calculating relative frequencies, remember that the sum of all relative frequencies should equal 1 (or 100% if in percentage form).