Question

there are 6 observations .if the median is 15.5. what is the least value of the data​

Answer 1

Answer:

Mean is the sum of the data values divided by the total number of values.

Given that mean of 8 observations is 20

Let the values be x

1

,x

2

,...,x

8

Given that one value is 62

Let x

8

=62

Therefore,

8

x

1

+x

2

+...+62

=20

⟹x

1

+x

2

+....+x

7

+62=160

⟹x

1

+x

2

+...+x

7

=98 ————(1)

Given that 62 is misread and the correct mean is 15.5

Therefore, the correct mean is 15.5=

8

x

1

+x

2

+...+x

8

⟹x

1

+x

2

+...+x

8

=15.5×8=124

⟹98+x

8

=124

⟹x

8

=124−98=26