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Size of Sweater Number of Sweaters
40 15
42 17
44 13
46 14
48 11
Total 70
In the above table (a) The most popular size is 17. (b) 17 is the median for above data.
State whether the statement is true or false.
Solution:
(a) Given, the most popular size is 17.
We have to determine if the given statement is true or false.
From the table,
17 is the number of sweaters sold
42 is the most popular size
17 is not the mode but 42 is the mode
Therefore, the given statement is false.
(b) Given, 17 is the median for above data
We have to determine if the given statement is true or false.
When the given data is arranged in ascending (or descending) order, then the middle most observation is the median of the data.
Arranging the data in ascending order, we get
11, 13, 14, 15, 17
Number of observations, n = 5
If n is odd, then median = (n + 1)/2 th term
Median = (5 + 1)/2 th term
= 6/2 th term
= 3rd term
3rd term = 14
The median is 14.
Therefore, the given statement is false.
✦ Try This: The mean of first 10 whole numbers is 10. State whether the statement is true or false
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 3
NCERT Exemplar Class 7 Maths Chapter 3 Sample Problem 7
In the above table (a) The most popular size is 17. (b) 17 is the median for above data. State whether the statement is true or false.
Summary:
The given statements,”The most popular size is 17” and “17 is the median for the above data” are false.
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