Question

1. What is the median of the data set?

Answer 1

Answer: 1. 7

2. 100

3. 193.8

4. 0.8

5. 90.6

Step-by-step explanation:

1. Given the data  9,3,10,12,4,5,12,2

For finding the median we arrange it in ascending order

2,3,4,5,9, 10,12,12

Since the no of observations are even

∴ median =$\frac{n/2 th term + (n/2 + 1)th term}{2}$

= $\frac{5+9}{2}$

=$\frac{14}{2}$

=7

i.e. Median =7

2. Given the data

23, 95,100,23,100,100

Since the no 100 is repeated thrice i.e. the maximum no of times

∴ Mode=100

3.

Given the data

108, 305,252,113, 191

Mean=$\frac{108+305+252+113+191}{5}$

=$\frac{969}{5}$

=193.8

4. Money spent in the first week

= $11.52, $6.48, $5.99, $14.00, and $9.50

Total for the first week

=11.52+6.48+5.99+14.00+9.50

=$47.49

Now she spent $4 more in the second week

i.e.$47.49+4

=51.49$

Increase in mean =$\frac{4}{5}$

=0.8

5.

Given

2 students scored 100 each

9 students scored 95 each

10 students scored 90 each

3 students scored 80 each

1 student scored 70

Total score of students =$2\times100+ 9\times 95+10\times90+3\times80+70\times1$

=2265

The average score

=$\frac{2265}{25}$

=90.6