The heights of 15 students are given in a class are 165, 155, 168, 160, 163, 160, 165, 168, 156, 159, 160, 164, 163, 160 and 155 Find: (i) The Range of heights (ii) The mode (iii) The median
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Arranging the given scores in an Ascending Order, we get
5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25
Mode,
Mode is the value of the variable which occurs most frequently.
Clearly, 20 occurs maximum number of times.
Hence, mode of the given Sores is 20
Median,
The value of the middle-most observation is called the Median of the data.
Here n = 15, which is odd.
Where, n is the number of the students.
∴median = value of ½ (n + 1)th observation.
= ½ (15 + 1)
= ½ (16)
= 16/2
= 8
Then, value of 8th term = 20
Hence, the Median is 20.
Yes, both the values are same.
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