Question

Q.5) The median of the data: 17, 2, 7, 27, 15, 5, 14, 8, 10, 24, 48,
10, 8, 7, 18, 28 is:
a. 10
b. 24
c. 12
d. 8
Q.6) The mode of the given data: 4, 6, 5, 9, 3, 2, 7, 7, 6, 5, 4, 9, 10,
10, 3, 4, 7, 6, 9, 9 is;
a. 7
b. 9
C. 10
d. 6​

Answer 1

Answer:

................10................6..............

Step-by-step explanation:

Answer 2

Answer:

Q.5) c. 12

Q.6) b. 9

Step-by-step explanation:

Q.5)

In ascending order:

2, 5, 7, 7, 8, 8, 10, 10, 14, 15, 17, 18, 24, 27, 28, 48

Total number of terms = 16

For even number of terms:

Median = $\frac{(\frac{n}{2}) ^{th} term + (\frac{n}{2} + 1)^{th} term }{2}$

             = $\frac{(\frac{16}{2}) ^{th} term + (\frac{16}{2} + 1)^{th} term }{2}$

             = $\frac{8 ^{th} term + (8 + 1)^{th} term }{2}$

             = $\frac{8 ^{th} term + 9^{th} term}{2}$

             = $\frac{10 + 14}{2}$

             = $\frac{24}{2}$

             = $12$

∴ c. 12 is correct.

Q.6)

Frequency distribution table:

Data                Frequency

2                              1

3                              2

4                              3

5                              2

6                              3

7                              3

9                              4

10                             2

Mode is the data with highest frequency.

∴ b. 9 is correct.

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