Question

A statistics content developer at Aplia wanted to know whether study skills are related to memory quality. She invited student volunteers to perform an online memory task. The students saw a list of 60 words and were then asked to recognize a list of five brand new words that are related to words that were on the original list. Students were also asked to provide their GPAs.

Consider the following data set, which was collected from student volunteers in 2009. The table gives the frequency for the number of incorrectly identified related words. Use the dropdown menus to complete the table by filling in the missing values for the proportions and percentages.


Score Interval f Proportion Percentage
9â10 29 0.19 19%
7â8 53
5â6 50
3â4 22 0.14 14%
1â2 1 0.01 1%

Answer 1

`\begin{array}{cccc}{Score\ Interval} & {f} & {Proportion} & {Percentage} & {9-10} & {29} &{0.19} & {19\%} & {7-8} & {53} & {0.34} & {34\%} &{5-6}& {50} & {0.32} & {32\%} &{3-4} & {22} & {0.14} & {14\%} & {1-2} & {1} & {0.01} & {1\%} \ \end{array}`

Explanation:

Given

`\begin{array}{cccc}{Score\ Interval} & {f} & {Proportion} & {Percentage} & {9-10} & {29} &{0.19} & {19\%} & {7-8} & {53} & {} & {} &{5-6}& {50} & {} & {} &{3-4} & {22} & {0.14} & {14\%} & {1-2} & {1} & {0.01} & {1\%} \ \end{array}`

Required

Fill in the gaps

First, we calculate the total frequency:

`Total = \sum f`

`Total = 29+53+50+22+1`

`Total = 155`

The proportion (p) is calculated by:

`p = (f)/(Total)`

The percentage (P) is calculated by:

`P = p * 100\%`

For interval 7 - 8, we have:

`p = (53)/(155) = 0.34`

`P = 0.34 * 100\% = 34\%`

For interval 5 - 6, we have:

`p = (50)/(155) = 0.32`

`P = 0.32 * 100\% = 32\%`

So, the complete table is:

`\begin{array}{cccc}{Score\ Interval} & {f} & {Proportion} & {Percentage} & {9-10} & {29} &{0.19} & {19\%} & {7-8} & {53} & {0.34} & {34\%} &{5-6}& {50} & {0.32} & {32\%} &{3-4} & {22} & {0.14} & {14\%} & {1-2} & {1} & {0.01} & {1\%} \ \end{array}`