1. The scores in mathematics test (out of 25) of 15 students is as follows:
19, 25, 23, 20,9, 20, 15, 10,5, 16, 25, 20, 24, 12, 20
Find the mode and median of this data. Are they same?
2. The runs scored in a cricket match by 11 players is as follows:
6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15
Find the mean, mode and median of this data. Are the three same?
3. The weights (in kg.) of 15 students of a class are:
38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47
(1) Find the mode and median of this data.
(i) Is there more than one mode?
4. Find the mode and median of the data: 13,16, 12, 14, 19, 12, 14, 13, 14
5. Tell whether the statement is true or false:
1) The mode is always one of the numbers in a data.
() The mean is one of the numbers in a data.
The median is always one of the numbers in a data.
(iv) The data 6, 4, 3, 8, 9, 12, 13,9 has mean 9.
B
Answers
Answer:
Answer is (1). Given the scores in mathematics test (out of 25) of 15 students is as follows
19,25,23,20,9,20,15,10,5,16,25,20,24,12,20
Mode means which observation is most frequently occurred
Here observe that 20 is most frequently occurred so mode is 20. __(1)
first of all average the data in ascending order
5,9,10,12,15,16,19,20,20,20,20,23,24,25,25
Here observe that no of observations
(n)=
15
So median is
2
N+1
th
term
median
=
2
15+1
th
term
=
8
th
=
2
16
th
median =
20
__(2)
from (1) & (2)
mode = median
(Both are same)
Answer (2). Ascending order the data is,
6,8,10,10,15,15,15,50,80,100,120
Sum of runs
=
6+
8+
10+
10+
15+
15+
15+
50+
80+
100+
120=
429
Number of matches
=
11
Mean=
11
429
=39
Median= Middle value of the data
=
15
Mode=Most occuring observation of the data
=
15
(3 times)
Three are not same
Answer (3). Arranging the given data in ascending order,
32,35,36,37,38,38,38,40,42,43,43,45,47,50
Mode = 38
As the frequency of 38 is most i.e. three
Median = 38
Answer (4). ⇒ Mode is the frequently occurring observation in a data.
Now, we will arrange the data in ascending order we get,
12,12,13,13,14,14,14,16,19
So, we can see 14 number occurs 3 times.
∴ Mode is 14
⇒
Median is the middle most observation.
∴ Median will be 5th number which is 14 .
∴ median is 14
Answer (5).
i) True
ii) False
iii) True
iv) False