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The phrase "and a narrow average" is correct and usable in written English.
It can be used when discussing statistical data or measurements that indicate a limited or specific range of average values.
Example: "The results showed a significant variation in scores, with a narrow average indicating that most participants performed similarly."
Alternatives: "and a limited mean" or "and a tight average".
Exact(1)
This versatile strategy allowed to easily achieve tunable surface area (700 2100 m2 g−1), pore volume (0.38 1.65 cm3 g−1) and a narrow average mesoporous size of ca. 2.72 4.03 nm by simply varying the dosages of Al3+ and F127, and to attain high N content (4.54 wt%) in a large-scale fabrication system (2 L).
Similar(59)
Although Japanese scores in science and mathematics are high, they tend to fall into a narrow average band.
A narrower average heat affected zone with the width of 440 μm was obtained, which was far lower than that underwater friction stir welding.
Finally, the intervals from the HH model exhibit very poor coverage, which is likely to be due to both the relatively poor estimation performance as summarized by Figure 3 and their comparatively narrow average widths.
Intervertebral disc height and cross-sectional area and fat content of multifidus and erector spinae were assessed from MRI. Lower physical activity levels were associated with a more narrow average intervertebral disc height (β −0.63 mm, 95% confidence interval (CI) −1.17 mm to −0.08 mm, P = 0.026) after adjusting for age, gender and body mass index (BMI).
For example, in trading applications, trend tracking indicators use wide and narrow averaging windows for highly volatile and non-volatile prices, respectively.
The lagoon is shallow and narrow, averaging only 3.6 feet in depth and 4 mile to 6 mile in width.
The BaCrO4 particles exhibit barite structure and a narrow size distribution with an average crystallite size of 55 nm.
In contrast with conventional chemical routes, the as-synthesized g-CNQDs exhibited a high crystalline quality, excellent fluorescence characteristics, and a narrow size distribution with an average diameter of 3.5 ± 0.5 nm.
(1) Interestingly, the pH within secretory enamel has been found to be close to neutrality and within a narrow range, with average values of pH 7.26 in the pig(5) and pH 7.23 in the rat.
A facial-features report, listing such attributes as "nostril flare" (narrow, average or large), costs $12; an audio interview is another $25.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com