Here is a data set summarized as a stem-and-leaf plot: 4\# | 0033468889 5\# 001222455678889 6\# | 04449 7\# \( \mid 899 \) How many data values are in this data set? \( n= \) What is the minimum value in the last class? ans = What is the frequency of the modal class? (Hint, what is the mode?) frequency = How many of the original values are greater than 60 ? ans =

Let's analyze the provided stem-and-leaf plot to answer each question step-by-step. ### Stem-and-Leaf Plot Interpretation The stem represents the tens place, and the leaves represent the units place. Here's the breakdown: - **4# | 0033468889** Values: 40, 40, 43, 43, 44, 46, 48, 48, 48, 49 **Count:** 10 - **5# | 001222455678889** Values: 50, 50, 51, 52, 52, 52, 54, 55, 55, 56, 57, 58, 58, 58, 59 **Count:** 15 - **6# | 04449** Values: 60, 64, 64, 64, 69 **Count:** 5 - **7# | 899** Values: 78, 79, 79 **Count:** 3 ### 1. Total Number of Data Values (\( n \)) To find the total number of data values, add up the counts from each stem: \[ n = 10 \, (\text{4#}) + 15 \, (\text{5#}) + 5 \, (\text{6#}) + 3 \, (\text{7#}) = 33 \] **Answer:** \( n = 33 \) ### 2. Minimum Value in the Last Class The last class is **7#**, which includes the values **78, 79, 79**. The minimum value in this class is **78**. **Answer:** **78** ### 3. Frequency of the Modal Class The **modal class** refers to the class with the highest frequency. From the counts: - **4#:** 10 - **5#:** 15 - **6#:** 5 - **7#:** 3 The **5# class** has the highest frequency of **15**. **Answer:** **15** ### 4. Number of Values Greater Than 60 Values greater than 60 are found in the **6#** and **7#** stems: - **6#:** 64, 64, 64, 69 (excluding 60, since it's not greater than 60) - **7#:** 78, 79, 79 Total values greater than 60: \[ 4 \, (\text{from 6#}) + 3 \, (\text{from 7#}) = 7 \] **Answer:** **7**