What Is The Five Number Summary For This Data Set?

How do you find the five-number summary of a data set?

1. Step 1: Put your numbers in ascending order (from smallest to largest). …
2. Step 2: Find the minimum and maximum for your data set. …
3. Step 3: Find the median. …
4. Step 4: Place parentheses around the numbers above and below the median. …
5. Step 5: Find Q1 and Q3.

What is the 5 number summary for the sample?

The five-number summary gives

information about the location (from the median)

, spread (from the quartiles) and range (from the sample minimum and maximum) of the observations.

Does 5 number summary include outliers?

The Five Number Summary is a method for summarizing a distribution of data. The five numbers are the minimum, the first quartile(Q1) value, the median, the third quartile(Q3) value, and the maximum. … This is very different from the rest of the data.

It is an outlier and must be removed

.

How do you find the 5 number summary on a TI 84?

1. Step 1: Enter the Data. First, we will input the data values. Press Stat, then press EDIT. Then enter the values of the dataset in column L1: …
2. Step 2: Find the Five Number Summary. Next, press Stat and then scroll over to the right and press CALC. Then press 1-Var Stats. In the new screen that appears, simply press Enter.

How do you calculate Q1 and q3?

1. Lower Quartile (Q1) = (N+1) * 1 / 4.
2. Middle Quartile (Q2) = (N+1) * 2 / 4.
3. Upper Quartile (Q3 )= (N+1) * 3 / 4.
4. Interquartile Range = Q3 – Q1.

How do the 5 number summaries compare to one another?

Five number summaries can be compared to one another. We will find that two sets with the similar means and standard deviations may have very different five number summaries. To easily compare two five number summaries at a glance, we can

use a boxplot

, or box and whiskers graph.

How do you find Q1 Q2 and Q3 in a data set?

1. Formula for Lower quartile (Q1) = N + 1 multiplied by (1) divided by (4)
2. Formula for Middle quartile (Q2) = N + 1 multiplied by (2) divided by (4)
3. Formula for Upper quartile (Q3) = N + 1 multiplied by (3) divided by (4)

What is Q1 and Q3?

The

lower quartile

, or first quartile, is denoted as Q1 and is the middle number that falls between the smallest value of the dataset and the median. … The upper or third quartile, denoted as Q3, is the central point that lies between the median and the highest number of the distribution.

How do you find summary statistics on TI 84?

1. First enter your data. Go to: [STAT] “1: Edit”. [ENTER].
2. To view the items in the summary, go to: [STAT] “Calc” “1: 1-Var Stats” [ENTER]. Use the arrow keys to scroll down.
3. An explanation of each piece of information is in the chart below.

How do you make a box plot on Excel?

1. Calculate quartile values from the source data set.
2. Calculate quartile differences.
3. Create a stacked column chart type from the quartile ranges.
4. Convert the stacked column chart to the box plot style.

How do you find the range of a set of data?

Explanation: The range is the simplest measurement of the difference between values in a data set. To find the range,

simply subtract the lowest value from the greatest value, ignoring the others

.

How do you find Q3 on Excel?

To calculate Q3 in Excel, simply

find an empty cell and enter the formula ‘=QUARTILE(array, 3)'

. Again, replacing the ‘array' part with the cells that contain the data of interest. 3. Finally, to calculate the IQR, simply subtract the Q1 value away from the Q3 value.

What is the formula of Q1?

First Quartile(Q1) =

((n + 1)/4)

^{t h}

Term

. Second Quartile(Q2) = ((n + 1)/2)

^{t h}

Term.

How is Q3 calculated?

Q3 is

the middle value in the second half of the data set

. Again, since the second half of the data set has an even number of observations, the middle value is the average of the two middle values; that is, Q3 = (6 + 7)/2 or Q3 = 6.5. The interquartile range is Q3 minus Q1, so IQR = 6.5 – 3.5 = 3.

What is Q3 in statistics?

The upper quartile, or third quartile (Q3), is

the value under which 75% of data points are found when arranged in increasing order

. The median is considered the second quartile (Q2). The interquartile range is the difference between upper and lower quartiles.

Which five numbers are included in the five-number summary for a data set quizlet?

The five-number summary of a distribution consists of the

minimum, quartile 1, median, quartile 3, and maximum

.

How do you find Q1 and Q3 in quartile deviation?

1. Q1 is an average of 2
   
   ^{nd ,}
   
   which is11 and adds the difference between 3
   
   ^rd
   
   & 4
   
   ^th
   
   and 0.5, which is (12-11)*0.5 = 11.50.
2. Q3 is the 7
   
   ^th
   
   term and product of 0.5, and the difference between the 8
   
   ^th
   
   and 7
   
   ^th
   
   term, which is (18-16)*0.5, and the result is 16 + 1 = 17.

How do you find the Q1 and Q3 in a box plot?

1. Quartile 1 (Q1) = (4+4)/2 = 4.
2. Quartile 2 (Q2) = (10+11)/2 = 10.5.
3. Quartile 3 (Q3) = (14+16)/2 = 15.

How do you calculate Q1 for grouped data?

1. Quartile. Qi class = (in4)th value of the observation. Qi=L+in4-cff⋅c, where i=1,2,3.
2. Deciles. Di class = (in10)th value of the observation. Di=L+in10-cff⋅c, where i=1,2,3, …, 9.
3. Percentiles.