Question

(a) estimate the proportion of batteries that charged with a temperature of 90 degrees or less. (enter your answer as a decimal between 0 and 1)
0.25
(b) estimate the proportion of batteries that charged with a temperature above 92 degrees. (enter your answer as a decimal between 0 and 1)

(c) what battery temperature represents the 85th percentile?

°f
(d) which temperature range did the highest number of battery recharges in it?

92 - 94
94 - 96
96 - 98

Explanation:

Step1: Analyze graph for part (b)

The total proportion of all batteries is 1. Proportion of batteries with temperature 92 degrees or less is 0.25. So proportion of batteries with temperature above 92 degrees is $1 - 0.25$.

Step2: Calculate the result

$1- 0.25=0.75$

Step3: Analyze graph for part (c)

We need to find the temperature such that 85% of the data is below it. Since the graph seems to be a cumulative - type graph, we can estimate by looking at the y - axis value of 0.85. By visual inspection, it seems to be around 96 degrees.

Step4: Analyze graph for part (d)

The steeper part of the graph indicates the largest increase in the proportion of batteries recharged. Looking at the graph, the steepest part is in the 92 - 94 temperature range.

Answer:

(b) 0.75
(c) 96
(d) 92 - 94