Introduction to a Median

Q.

In a given data, arranged in ascending or descending order, the middlemost observation is called _________.

Q.

You want to compare the number of words per sentence in a sports magazine to the number of words per sentence in a political magazine.

The double box-and-whisker plot represents the means of $200$ random samples of $20$ sentences from each magazine.

Compare the variability of the sample means to the variability of the sample numbers of words.

Q.

Two crates each contain 750 objects. The double box-and-whisker plot shows the median weights of 50 random samples of 10 objects from each crate. Can you determine which crate weighs more? Explain.

Q.

You want to compare the numbers of hours spent on recreation each week by teachers and non-teachers in your state. You take$100$ random samples of $15$ teachers and $100$ random samples of $15$ non-teachers throughout the state and record the median value of each sample. The double box-and-whisker plot shows the distributions of sample medians.

Are the samples likely to be representative of all teachers and non-teachers in your state?
What can you conclude from the double box-and-whisker plot? Explain.

Q.

The double box-and-whisker plot represents the weights of cats at two shelters. Are the cats significantly heavier at one shelter than at the other? Explain.

Q.

The highest temperature in $(°C)$ in a last week of May in Delhi was recorded as follows :

Days	Mon	Tue	Wed	Thu	Fri	Sat	Sun
Temperature (in $°C$)	$38$	$40$	$44$	$45$	$43$	$40$	$35$

Find the range, mean and median of the above data.

Q.

The double box-and-whisker plot represents the medians of $50$ random samples of $10$ wait times at two patient care facilities. Which facility should you choose? Explain your reasoning.

Q. The number of elephants in a wild life sanctuary over the past 6 years was recorded as shown.


What is the median for the above data?

1. 29
2. 30
3. 28
4. 27

Q.

If the extreme observations on both the ends of a data arranged in ascending order are removed, the median gets affected. Say true or false

1. True
2. False

Q. Jack bought 7 lottery tickets and recorded their serial numbers as mentioned below. What is the median of this data set?

22, 102, 147, 59, 49, 111, 105

1. 59
2. 147
3. 102
4. 111

Q. Tobby has 5 children aged 10, 13, 8, 17, and 14. What is the median age?

1. 10
2. 14
3. 8
4. 13

Q. The annual rainfall in Seattle over the last 7 years is listed below. What is the median rainfall?

1. 40.12 inches
2. 39.2 inches
3. 37.49 inches
4. 38.21 inches

Q. Find the median of the following data set:

10

3

8

5

6

Q. The age of penguins participating in an annual Icicle-darts competition is given in the list.
Age of Penguins

12	15	12	13	17
13	14	14	14	16
14	12	12	14	11

What age best represents the group of participants?

1. $13$ years
2. $14$ years

Q. In a football tournament, the score of a team in 8 matches is as follows:

2

6

4

0

1

2

1

3

Median score of the team is .

1. 2
2. 6
3. 1.5

Q. Median of the following data set is

10

12

6

5

2

13

Q. The scores of Jimmy's soccer match were recorded to be:
3, 7, 13, 14, 6, 7, 9, 8, 10, 5, 6, 6, 10, 12.
What is the median score?

1. 7
2. 7.5
3. 8.5
4. 8

Q. The speeds of cars passing a 20 km/h speed limit sign are recorded in the following table.
Speeds of Cars (km/h)

32	41	89	12	16	20
15	28	50	25	30	48
31	25	53	61

What is the median speed of these cars?

1. 30.50 km/h
2. 36 km/h

Q. The amount of time Brie spends exercising is as shown below.
What is the median time?

1. 60 minutes
2. 30 minutes
3. 45 minutes
4. 40 minutes