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Histogram is useful to determine graphically the value of(a) Arithmetic Mean(b) Median(c) Mode(d) HM

Question

Histogram is useful to determine graphically the value of(a) Arithmetic Mean(b) Median(c) Mode(d) HM

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Solution

To determine the value of (a) Arithmetic Mean, (b) Median, (c) Mode, and (d) HM using a histogram, follow these steps:

  1. Start by collecting the data for which you want to determine these values.

  2. Organize the data into intervals or bins. Each interval should represent a range of values.

  3. Draw a horizontal axis to represent the intervals or bins and a vertical axis to represent the frequency or count of values within each interval.

  4. Create bars on the histogram by drawing rectangles above each interval. The height of each rectangle represents the frequency or count of values within that interval.

  5. Calculate the Arithmetic Mean by finding the sum of all the values and dividing it by the total number of values.

  6. Find the Median by locating the middle value of the data set. If the data set has an odd number of values, the median is the value in the middle. If the data set has an even number of values, the median is the average of the two middle values.

  7. Determine the Mode by identifying the interval or bin with the highest frequency or count. The mode is the value or values within that interval.

  8. Calculate the Harmonic Mean (HM) by dividing the total number of values by the sum of the reciprocals of each value.

By following these steps and analyzing the histogram, you can determine the values of Arithmetic Mean, Median, Mode, and HM graphically.

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