Questions: Identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. Identify the lower class limits (in 1000 cells/ μL ). (Type integers or decimals. Do not round. Use ascending order.) Identify the upper class limits (in 1000 cells/ μL ). (Type integers or decimals. Do not round. Use ascending order.) Identify the class width (in 1000 cells / μL ). (Type an integer or a decimal. Do not round.) Identify the class midpoints (in 1000 cells/ μL ).

Identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. Identify the lower class limits (in 1000 cells/ μL ). (Type integers or decimals. Do not round. Use ascending order.) Identify the upper class limits (in 1000 cells/ μL ). (Type integers or decimals. Do not round. Use ascending order.) Identify the class width (in 1000 cells / μL ). (Type an integer or a decimal. Do not round.) Identify the class midpoints (in 1000 cells/ μL ).
Transcript text: Identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. Identify the lower class limits (in 1000 cells/ $\mu \mathrm{L}$ ). (Type integers or decimals. Do not round. Use ascending order.) Identify the upper class limits (in 1000 cells/ $\mu \mathrm{L}$ ). (Type integers or decimals. Do not round. Use ascending order.) Identify the class width (in 1000 cells $/ \mu \mathrm{L}$ ). (Type an integer or a decimal. Do not round.) Identify the class midpoints (in 1000 cells/ $\mu \mathrm{L}$ ).
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Solution

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Solution Steps

To solve this problem, we need to identify the lower and upper class limits, class width, class midpoints, and class boundaries from the given frequency distribution. We also need to determine the total number of individuals included in the summary.

  1. Lower Class Limits: These are the smallest values that can belong to each class.
  2. Upper Class Limits: These are the largest values that can belong to each class.
  3. Class Width: This is the difference between the lower limits of two consecutive classes.
  4. Class Midpoints: These are the values in the middle of each class, calculated as the average of the lower and upper class limits.
  5. Class Boundaries: These are the values that separate the classes without gaps.
Step 1: Identify Lower Class Limits

The lower class limits for the given frequency distribution are: \[ \text{Lower Class Limits} = [0, 1000, 2000, 3000, 4000, 5000, 6000] \]

Step 2: Identify Upper Class Limits

The upper class limits for the given frequency distribution are: \[ \text{Upper Class Limits} = [999, 1999, 2999, 3999, 4999, 5999, 6999] \]

Step 3: Calculate Class Width

The class width, defined as the difference between the lower limits of two consecutive classes, is: \[ \text{Class Width} = 1000 \]

Step 4: Calculate Class Midpoints

The class midpoints, calculated as the average of the lower and upper class limits, are: \[ \text{Class Midpoints} = [499.5, 1499.5, 2499.5, 3499.5, 4499.5, 5499.5, 6499.5] \]

Step 5: Identify Class Boundaries

The class boundaries, which separate the classes without gaps, are: \[ \text{Class Boundaries} = [(-0.5, 999.5), (999.5, 1999.5), (1999.5, 2999.5), (2999.5, 3999.5), (3999.5, 4999.5), (4999.5, 5999.5), (5999.5, 6999.5)] \]

Final Answer

\[ \text{Lower Class Limits: } \boxed{[0, 1000, 2000, 3000, 4000, 5000, 6000]} \] \[ \text{Upper Class Limits: } \boxed{[999, 1999, 2999, 3999, 4999, 5999, 6999]} \] \[ \text{Class Width: } \boxed{1000} \] \[ \text{Class Midpoints: } \boxed{[499.5, 1499.5, 2499.5, 3499.5, 4499.5, 5499.5, 6499.5]} \] \[ \text{Class Boundaries: } \boxed{[(-0.5, 999.5), (999.5, 1999.5), (1999.5, 2999.5), (2999.5, 3999.5), (3999.5, 4999.5), (4999.5, 5999.5), (5999.5, 6999.5)]} \]

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