Question

1. What is the median of the data set?

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

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2.What is the mode of the data set?

23, 95, 100, 23, 100, 100

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3.What is the mean of the data set?

108, 305, 252, 113, 191

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4.At Sara's new job she spent $11.52, $6.48, $5.99, $14.00, and $9.50 on lunch the first week.

In the second week, she spent $4 more in total for the 5 lunches than the first week.

What is the increase in the mean for the second week compared to the first?



Round the answer to the nearest penny.

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5.A class of 25 students took a spelling test. Two students scored 100 on each test, nine students scored 95 on each test, ten students scored 90 on each test, three students scored 80 on each test and one student scored 70.

What is the average score of the spelling test rounded to one decimal place?



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Answer 1

Answer: 1= 7

Explanation:

Answer 2

Answer: 1. 7

2. 100

3. 193.8

4. 0.8

5. 90.6

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 =
`(n/2 th term + (n/2 + 1)th term)/(2)`

=
`(5+9)/(2)`

=
`(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=
`(108+305+252+113+191)/(5)`

=
`(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 =
`(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*100+ 9* 95+10*90+3*80+70*1`

=2265

The average score

=
`(2265)/(25)`

=90.6