Math Problem Statement

Solve

Solution

The image shows a frequency distribution table with classes and corresponding frequencies. To solve this problem, I need to calculate KK, which likely refers to the class width or another statistical measure.

Here's the breakdown of the steps to solve it:

  1. Identify Class Width (KK):

    • The class intervals are given as:
      • 090 - 9
      • 101410 - 14
      • 151915 - 19
      • 202420 - 24
      • 2525 and above (cumulative)
    • If KK represents the class width, calculate it using the first two intervals: K=105=5K = 10 - 5 = 5
  2. Determine the value of KK:

    • KK could also represent the number of classes, cumulative frequency, or other measure.
    • Let's calculate the cumulative frequency from the given dataThe image shows a frequency distribution table with classes and corresponding frequencies. To solve this problem, I need to calculate KK, which likely refers to the class width or another statistical measure.

Here's the breakdown of the steps to solve it:

  1. Identify Class Width (KK):

    • The class intervals are given as:
      • 090 - 9
      • 101410 - 14
      • 151915 - 19
      • 202420 - 24
      • 2525 and above (cumulative)
    • If KK represents the class width, calculate it using the first two intervals: K=105=5K = 10 - 5 = 5
  2. Determine the value of KK:

    • KK could also represent the number of classes, cumulative frequency, or other measure.
    • Let's calculate the cumulative frequency from the given
      • Class 090 - 9 has a frequency of 5.
      • Class 101410 - 14 has a frequency of KK (Unknown).
      • Class 151915 - 19 has a frequency of 8.
      • Class 202420 - 24 has a frequency of 5.
      • The cumulative frequency for 2525 and above is 48.
    • The cumulative frequencies can be calculated as: Cumulative frequency for 09=5\text{Cumulative frequency for } 0 - 9 = 5 Cumulative frequency for 1014=5+K\text{Cumulative frequency for } 10 - 14 = 5 + K Cumulative frequency for 1519=5+K+8\text{Cumulative frequency for } 15 - 19 = 5 + K + 8 Cumulative frequency for 2024=5+K+8+5\text{Cumulative frequency for } 20 - 24 = 5 + K + 8 + 5
    • The total cumulative frequency is given as 48. Therefore: 5+K+8+5=485 + K + 8 + 5 = 48
    • Solve for KK: K+18=48K + 18 = 48