Math Problem Statement

Construct the cumulative frequency distribution for the given data. Daily Low ​(degrees°​F) Frequency

​35-39 2 ​40-44 4 ​45-49 5 ​50-54 10 ​55-59 9 ​60-64 6 ​65-69 1 Question content area bottom left Part 1 Construct the cumulative frequency distribution.

Solution

To construct the cumulative frequency distribution for the given data, we will calculate the cumulative frequency by adding the frequency of each class interval to the sum of the previous frequencies.

Here is the data provided:

Daily Low (°F)FrequencyCumulative Frequency
35-3922
40-4442 + 4 = 6
45-4956 + 5 = 11
50-541011 + 10 = 21
55-59921 + 9 = 30
60-64630 + 6 = 36
65-69136 + 1 = 37

Thus, the cumulative frequency distribution is:

Daily Low (°F)FrequencyCumulative Frequency
35-3922
40-4446
45-49511
50-541021
55-59930
60-64636
65-69137

Would you like more details on how to calculate this, or any further assistance with cumulative frequency or other concepts?

Additional Questions:

  1. How do you calculate the cumulative frequency for grouped data?
  2. What is the difference between a frequency distribution and a cumulative frequency distribution?
  3. How do you plot the cumulative frequency distribution on a graph?
  4. What is the significance of cumulative frequency in statistical analysis?
  5. Can you explain how to find percentiles from cumulative frequency data?

Tip:

When creating cumulative frequency distributions, always remember that the cumulative frequency for the last class should equal the total number of observations in the dataset.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Cumulative Frequency
Grouped Data
Statistics

Formulas

Cumulative Frequency = Previous Cumulative Frequency + Current Frequency

Theorems

Cumulative Frequency Distribution

Suitable Grade Level

Grades 7-10