**Comparing data displayed in box plots :**

We can compare two box plots numerically according to their centers, or medians, and their spreads, or variability. Range and interquartile range (IQR) are both measures of spread.

Box plots with similar variability should have similar boxes and whiskers.

Box plots with greater variability, where there is less overlap of the median and interquartile range.

The box plots show the distribution of times spent shopping by two different groups.

1. Compare the shapes of the box plots.

The positions and lengths of the boxes and whiskers appear to be very similar. In both plots, the right whisker is shorter than the left whisker.

2. Compare the centers of the box plots.

Group A’s median, 47.5, is greater than Group B’s, 40. This means that the median shopping time for Group A is 7.5 minutes more.

3. Compare the spreads of the box plots.

The box shows the interquartile range. The boxes are similar.

Group A: 55 - 30 = 25 min Group B: About 59 - 32 = 27 min

The whiskers have similar lengths, with Group A’s slightly shorter than Group B’s.

4. Which group has the greater variability in the bottom 50% of shopping times ? The top 50% of shopping times ? Explain how you know.

Group A; Group B; look at which box plot has a greater distance from the median to the minimum or maximum value, respectively.

The box plots show the distribution of the number of team wristbands sold daily by two different stores over the same time period.

1. Compare the shapes of the box plots.

Store A’s box and right whisker are longer than Store B’s.

2. Compare the centers of the box plots.

Store A’s median is about 43, and Store B’s is about 51. Store A’s median is close to Store B’s minimum value, so about 50% of Store A’s daily sales were less than sales on Store B’s worst day.

3. Compare the spreads of the box plots.

Store A has a greater spread. Its range and inter quartile range are both greater.

Four of Store B’s key values are greater than Store A’s corresponding value.

Store B had a greater number of sales overall.

After having gone through the stuff given above, we hope that the students would have understood "Comparing data displayed in box plots.

Apart from the stuff given above, if you want to know more about "Comparing box plots", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**