Questions: Lesson 13 Measures of Relative Position Question 3 of 5, Step 1 of 5 The number of hours per week that the television is turned on is determined for each family in a sample. The mean of this data is 35 hours and the median is 29.5 hours. Find the approximate z-score for the median. Step 1 of 5: Based on the given information, determine if the following statement is true or false: The first quartile is less than the Median. Answer: True False

Lesson 13 Measures of Relative Position

Question 3 of 5, Step 1 of 5

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of this data is 35 hours and the median is 29.5 hours. Find the approximate z-score for the median.

Step 1 of 5: Based on the given information, determine if the following statement is true or false:

The first quartile is less than the Median.

Answer:

True False

Transcript text: Lesson 13 Measures of Relative Position Question 3 of 5, Step 1 of 5 The number of hours per week that the television is turned on is determined for each family in a sample. The mean of this data is 35 hours and the median is 29.5 hours. Find the approximate z-score for the median. Step 1 of 5: Based on the given information, determine if the following statement is true or false: The first quartile is less than the Median. Answer: True False

Solution

Solution Steps

Step 1: Determine the Relationship Between the First Quartile and the Median

In a dataset, the median represents the 50th percentile, while the first quartile (Q1) represents the 25th percentile. By definition, the first quartile is the value below which 25% of the data falls, and the median is the value below which 50% of the data falls. Therefore, it follows that:

\[ Q1 < \text{Median} \]

Given that the median is \(29.5\) hours, it is evident that the first quartile must be less than this value.