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The table below show the distribution of marks scored by 40student in a class. marks=1,2,3,4,5, frequency=5,7,9,11,8. I find the mode ii calculate the mean correct to one decimal point​



Answer :

rvkacademic

Answer:

Mode = 4

Mean = 3.3

Step-by-step explanation:

To find the mode and calculate the mean from the distribution of marks, we first need to understand the concepts.

Mode
The mode is the value that appears most frequently in a dataset.

Mean
The mean is the average of a set of numbers and is calculated by adding all the numbers together and dividing by the total count of numbers.

In a frequency distribution you multiply the each number by its frequency, ad up the products and divide by the number of data points

Given:

  • Marks: 1, 2, 3, 4, 5
  • Frequencies: 5, 7, 9, 11, 8

Let's calculate the mode first:

The highest frequency is 11, which corresponds to the mark 4.

Therefore, the mode is 4.

Next, let's calculate the mean:

  • Total sum = (1 * 5) + (2 * 7) + (3 * 9) + (4 * 11) + (5 * 8)
  • Total sum = 5 + 14 + 27 + 44 + 40
  • Total sum = 130

Now, to find the mean:

  • Mean = Total sum / Total count of numbers = 130 / 40
  1. Mean =3.25 = 3.3 (correct to one decimal point)

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