High School

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------------------------------------------------ The median of the following data is:

Marks: 0-10, 10-20, 20-30, 30-40, 40-50, 50-60, 60-70

Number of students: 15, 25, 52, 56, 78, 80, 70

Answer :

Final answer:

To find the median, arrange the data in order and find the middle value or average of the two middle values. The median in this case will be between the '40-50' and '50-60' mark intervals.

Explanation:

The median is the middle value in a set of data when arranged in order. To find the median in this case, we first need to arrange the data in order from least to greatest:

  1. Marks: 0-10, No. of students: 15
  2. Marks: 10-20, No. of students: 25
  3. Marks: 20-30, No. of students: 52
  4. Marks: 30-40, No. of students: 56
  5. Marks: 40-50, No. of students: 78
  6. Marks: 50-60, No. of students: 80
  7. Marks: 60-70, No. of students: 70

The total number of students is 376. To find the median, we need to find the student at the middle position. Since the total number of students is even, the median will be the average of the two middle values, which are the 188th and 189th students. So, the median will be between the '40-50' and '50-60' mark intervals.