Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $35, 35, 49, 55, 59, 61$ $\newline$ lower quartile $=$ $\_\_$ $\newline$ median $=$ $\_\_$ $\newline$ upper quartile $=$ $\_\_$

View step-by-step help

View step-by-step help

Calculate quartiles and interquartile range

Full solution

Q. In the data set below, what are the lower quartile, the median, and the upper quartile?

\newline

35, 35, 49, 55, 59, 61

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify Median Calculation: Step $1$ : Identify the median of the data set $35, 35, 49, 55, 59, 61$ . Since there are $6$ numbers, the median will be the average of the $3$ rd and $4$ th numbers. Calculation: $(49 + 55) / 2 = 52$ .
Lower Quartile Data Set: Step $2$ : Identify the data set for the lower quartile. $\newline$ The lower quartile uses the first half of the data set, excluding the median if necessary. $\newline$ First half is $35$ , $35$ , $49$ .
Find Lower Quartile Value: Step $3$ : Find the value of the lower quartile. $\newline$ Since there are $3$ numbers, the lower quartile is the middle number. $\newline$ Lower quartile $= 35$ .
Upper Quartile Data Set: Step $4$ : Identify the data set for the upper quartile. $\newline$ The upper quartile uses the second half of the data set, excluding the median if necessary. $\newline$ Second half is $55$ , $59$ , $61$ .
Find Upper Quartile Value: Step $5$ : Find the value of the upper quartile. $\newline$ Since there are $3$ numbers, the upper quartile is the middle number. $\newline$ Upper quartile $= 59$ .

More problems from Calculate quartiles and interquartile range

Question

Select the outlier in the data set.

33

43

49

57

62

67

81

561

Posted 1 month ago

Question

In the data set below, what is the variance?

\newline

8

7

6

4

3

\newline

If the answer is a decimal, round it to the nearest tenth.

\newline

\sigma^2

Posted 2 months ago

Question

What is the mode?

\newline

7, 8, 8, 7, 5, 7

Posted 5 hours ago

Question

In the data set below, what are the lower quartile, the median, and the upper quartile?

\newline

1

2

2

2

2

4

4

5

7

7

\newline

=

\newline

=

\newline

=

Posted 1 month ago

Question

In the data set below, what are the lower quartile, the median, and the upper quartile?

1,2,2,2,2,4,4,5,7,7

lower quartile =

\underline{\hspace{1cm}}

\underline{\hspace{1cm}}

upper quartile =

\underline{\hspace{1cm}}

Posted 1 month ago

Question

Jerry has a large car which holds

22

gallons of fuel and gets

20

miles per gallon. Kate has a smaller car which holds

16

5

gallons of fuel and gets

30

miles per gallon. If both cars have a full tank of fuel now and drive the same distance, in how many miles will the remaining fuel in each tank be the same?

\newline

1

\newline

320

\newline

325

\newline

330

\newline

335

Posted 28 days ago

Question

3

more books than Topher did over their summer vacation. If Rachel read

7

books, how many books did Topher read?

\newline

1

\newline

3

\newline

4

\newline

7

\newline

10

Posted 2 months ago

Question

Lilia wants to exchange US dollars for Euros before traveling to France. Her bank offers her an exchange rate of

1

0

84

Euros. Approximately how many US dollars does Lilia need to exchange if she wants to receive

350

Euros from her bank?

\newline

1

\newline

\mathbf{2 6 6}

\newline

294

\newline

417

\newline

434

Posted 4 months ago

Question

Petra waited in line for

78

minutes for tickets to see her favorite band. How long did she wait in hours?

\newline

1

\newline

0

8

\newline

1

1

\newline

1

3

\newline

1

5

Posted 4 months ago

Question

A frozen pepperoni pizza has

6

servings. If the pizza contains a total of

1

860

calories, what is the number of calories per serving?

\newline

1

\newline

1

860

\newline

930

\newline

465

\newline

310

Posted 4 months ago